Emeritus Professor Ian Hugh Sloan
Professor

Emeritus Professor Ian Hugh Sloan

Science
Sch of Mathematics & Statistic

ABOUT ME

 

After schooling in Ballarat in Victoria, Australia, I completed physics and mathematics degrees at Melbourne University, a Master's degree in mathematical physics at Adelaide, and a PhD in theoretical atomic physics (under the supervision of HSW Massey) at the University of London, finishing in 1964. After a decade of research on few-body collision problems in nuclear physics, and publishing some 35 papers in the physics literature, my research interests shifted to computational mathematics . Since making that change I have published more than 200 papers on the numerical solution of integral equations, numerical integration and interpolation, boundary integral equations, approximation theory, multiple integration, continuous complexity theory and other parts of numerical analysis and approximation theory. 

My first employment from 1961 to 1965 was by Australia's CSR Company (who sent me to London to do a PhD), before I joined the University of New South Wales as a Lecturer. Highlights of the early UNSW years involved in physics research were a three-month visit to India on a Leverhume Fellowship and a year-long sabbatical at the University of Maryland, College Park, supported by a Senior Fulbright Fellowship.  After several promotions, I was appointed to a Personal Chair in Mathematics in 1983. I was Head of the School of Mathematics from 1986 to 1990 and then from 1992 to 1993. I am currently both Emeritus Professor and part-time Professor in the School of Mathematics and Statistics at UNSW. 

I was for a period Chair of the Chemistry, Mathematics and Physics Panel of the Australian Research Council, and member of the ARC's Research Grants Committee. I have been President of the Australian Mathematical Society and also Chair of its Division of Applied Mathematics (now ANZIAM).

I was elected a Fellow of the Australian Academy of Science in 1993. and in 1997 he awarded the ANZIAM Medal by Australian and New Zealand Industrial and Applied Mathematics (ANZIAM).  In 2001 I was awarded the Thomas Ranken Lyle Medal of the Australian Academy of Science, and in 2002 the Szekeres Medal of the Australian Mathematical Society. In 2005 I was awarded the Information Based Complexity Prize. In 2008 I was appointed an Officer of the Order of Australia (AO), and in 2018 was awarded an Honorary Doctorate of the University by the University of New South Wales.

I have been a member of the editorial board of a number of international journals, including SIAM Journal of Numerical Analysis, Numerische Mathematik, Advances in Conmputational Mathematics, Journal of Integral equations and Applications, the International Journal of Geomathematics, Foundations of Computational Mathematics and  the Journal of Complexity.

From 2003 to 2007 I was President of the International Council for Industrial and Applied Mathematics, Before that I was the Chair of the International Program Committee for ICIAM 2003, the fifth International Congress on Industrial and Applied Mathematics, held in Sydney in 2003. I was a Chief Investigator and then Deputy Director of MASCOS, the ARC Centre of Excellence for Mathematics and Statistics of Complex Systems. I am currently President of the Royal Society of NSW.

 


 

Education

  • BSc in Physics (Melbourne 1958)
  • BA (Hons) in Mathematics (Melbourne, 1960)
  • MSc in Mathematical Physics (Adelaide, 1961)
  • PhD in Theoretical Physics (London, 1964).

 

RESEARCH

 

Research Goals

  • Excellence in computational mathematics at an international level

Research in Detail

After an early research career in theoretical physics, I turned to computational mathematics, which I think of as the rigorous application of mathematics to develop new and improved methods for the approximate solution of mathematically challenging problems in science, engineering, and other fields {mathematical finance being a key new area). I have worked with integral equations, partial differential equations, the complexity of continuous problems, numerical integration, and approximation and other areas. Of particular interest these days are problems involving a very large number of continuous variables (where we working to overcome the “curse of dimensionality), and problems of integration and approximation over spheres, often coming from geophysics. .

Research Grants

    • ARC Discovery Grant 2011 – 2013 (jointly with Frances Kuo) Very High Dimensional Computation – the New Frontier in Numerical Analysis
    • ARC Discovery Grant 2012 – 2014 (jointly with Josef Dick) Mathematics in the Round – the Challenge of Computational Analysis on Spheres

Current Student Projects (PhD and Honours)

Numerical analysis of high dimensional computation.

Approximation schemes on spheres

The effect of filtering on quality of approximation.

Supervision Opportunities/Areas

There are good opportunities for PhD supervision for students with a strong background in mathematics, especially analysis

Advice for prospective students

The Computational Mathematics Group at UNSW is a vibrant group, with excellent international connections. It is an attractive destination for enthusiastic students with strong mathematical talents.

 

TEACHING & OUTREACH

Professional affiliations and service positions

I was formerly President of the International Council for Industrial and Applied Mathematics

Elected Fellow of SIAM, 2009

Elected Fellow of the American Mathematical Society, 2012

 

AWARDS & ACHIEVEMENTS

 

Elected Fellow of the Australian Academy of Science, 1993

Scientia Professsor UNSW, 1999

Lyle Medal of the Australian Academy of Science 2001

Szekeres Medal of the Australian Mathematical Society 2002

Information Based Complexity Prize 2005

Appointed Officer of the Order of Australia, 2008

Elected Fellow of the Royal Society of new South Wales, 2014

Phone
9385 7038
Location
School of Mathematics and Statistics University of New South Wales Sydney NSW 2052 The Red Centre Room 2072

Publications

  • Book Chapters | 2020
    Emeritus Professor Ian Hugh Sloan
    Gilbert AD; Graham IG; Scheichl R; Sloan IH, 2020, 'Bounding the Spectral Gap for an Elliptic Eigenvalue Problem with Uniformly Bounded Stochastic Coefficients', in 2018 MATRIX Annals, Springer International Publishing, pp. 29 - 43, http://dx.doi.org/10.1007/978-3-030-38230-8_3
    Book Chapters | 2020
    Emeritus Professor Ian Hugh Sloan
    Cools R; Kuo FY; Sloan IH; Nuyens D, 2020, 'Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters', in Brenner SC; Shparlinski I; Shu C-W; Szyld D (ed.), 75 Years of Mathematics of Computation, American Mathematical Society, pp. 93 - 113, http://dx.doi.org/10.1090/conm/754/15150
    Book Chapters | 2020
    Emeritus Professor Ian Hugh Sloan
    Kazashi Y; Sloan IH, 2020, 'Worst-Case Error for Unshifted Lattice Rules Without Randomisation', in 2018 MATRIX Annals, Springer International Publishing, pp. 79 - 96, http://dx.doi.org/10.1007/978-3-030-38230-8_6
    Book Chapters | 2015
    Emeritus Professor Ian Hugh Sloan
    Hesse K; Sloan IH; Womersley RS, 2015, 'Numerical integration on the sphere', in Handbook of Geomathematics: Second Edition, pp. 2671 - 2710, http://dx.doi.org/10.1007/978-3-642-54551-1_40
    Book Chapters | 2015
    Emeritus Professor Ian Hugh Sloan
    Hesse K; Sloan IH; Womersley RS, 2015, 'Numerical Integration on the Sphere', in Handbook of Geomathematics, Springer Berlin Heidelberg, pp. 1 - 35, http://dx.doi.org/10.1007/978-3-642-27793-1_40-3
    Book Chapters | 2015
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 2015, 'Quasi-Monte Carlo Methods', in Encyclopedia of Applied and Computational Mathematics, Springer Berlin Heidelberg, pp. 1201 - 1203, http://dx.doi.org/10.1007/978-3-540-70529-1_391
    Book Chapters | 2013
    Emeritus Professor Ian Hugh Sloan
    Hesse K; Sloan IH; Womersley RS, 2013, 'Numerical Integration on the Sphere', in Handbook of Geomathematics, Springer Berlin Heidelberg, pp. 1 - 35, http://dx.doi.org/10.1007/978-3-642-27793-1_40-2
    Book Chapters | 2010
    Emeritus Professor Ian Hugh Sloan
    Hesse K; Sloan IH; Womersley RS, 2010, 'Numerical Integration on the Sphere', in Handbook of Geomathematics, Springer Berlin Heidelberg, pp. 1185 - 1219, http://dx.doi.org/10.1007/978-3-642-01546-5_40
    Book Chapters | 2010
    Emeritus Professor Ian Hugh Sloan
    Hesse K; Sloan IH; Womersley RS, 2010, 'Numerical Integration on the Sphere', in Freeden W; Nashed MZ; Sonar T (ed.), Handbook of Geomathematics, edn. 1st, Springer, Berlin, pp. 1187 - 1220
    Book Chapters | 2009
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 2009, 'How high is high-dimensional?', in Novak E; Sloan IH; Traub JF; Wozniakowski H (ed.), Essays on the Complexity of Continuous Problems, European Mathematical Society, Zurich, pp. 73 - 88, http://dx.doi.org/10.4171/069-1/4
    Books | 2009
    Emeritus Professor Ian Hugh Sloan
    2009, Essays on the Complexity of Continuous Problems, Sloan IH; Novak E; Wozniakowski H; Traub JF, (eds.), European Mathematical Society, Zurich
    Book Chapters | 2006
    Emeritus Professor Ian Hugh Sloan
    Kuo FY; Sloan IH; Woźniakowski H, 2006, 'Lattice Rules for Multivariate Approximation in the Worst Case Setting', in Monte Carlo and Quasi-Monte Carlo Methods 2004, pp. 289 - 330, http://dx.doi.org/10.1007/3-540-31186-6_18
    Book Chapters | 2006
    Emeritus Professor Ian Hugh Sloan
    Hesse K; Sloan IH, 2006, 'Hyperinterpolation on the sphere', in Govil NK; Mhasker HN; Mohapatra RN; Nashed Z; Szabados J (ed.), Frontiers in interpolation and approximation, edn. Original, Chapman & Hall/CRC, USA, pp. 213 - 248
    Book Chapters | 1999
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Womersley RS, 1999, 'The uniform error of hyperinterpolation on the sphere', in Jetter K; Haussmann W; Reimer M (ed.), Multivariate Approximation, Wiley-VCH, pp. 289 - 306
    Book Chapters | 1995
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1995, 'Boundary element methods', in Theory and numerics of ordinary and partial differential equations, edn. Original, Clarendon Press, Oxford, UK, pp. 143 - 180
    Books | 1994
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Joe S, 1994, Lattice methods for multiple integration, Oxford University Press, https://global.oup.com/academic/product/lattice-methods-for-multiple-integration-9780198534723?cc=au&lang=en&
    Book Chapters | 1990
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1990, 'Superconvergence', in Golberg M (ed.), Numerical Solution of Integral Equations, Plenum Press, pp. 35 - 70
    Book Chapters | 1988
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Walsh L, 1988, 'Lattice Rules — Classification and Searches', in International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, Birkhäuser Basel, pp. 251 - 260, http://dx.doi.org/10.1007/978-3-0348-6398-8_23
    Book Chapters | 1988
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1988, 'Superconvergence in the collocation and qualocation methods', in Agarwal R (ed.), Numerical Mathematics, Birkhauser Verlag, pp. 429 - 441
    Book Chapters | 1985
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Spence A, 1985, 'Wiener-Hopf intergal equations: finite-section approximation and projection methods', in Hammerlin G; Hoffmann K-H (ed.), Constructive Methods for Practical Treatment of Integral Equations, Birkhauser Verlag, pp. 256 - 272
    Book Chapters | 1982
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1982, 'Superconvergence and the Galerkin Method for Integral Equations of the Second Kind', in Baker CT H; Miller GF (ed.), Treatment of Integral Equations by Numerical Methods, Academic Press, pp. 197 - 207
    Book Chapters | 1981
    Emeritus Professor Ian Hugh Sloan
    SLOAN IH, 1981, 'MATHEMATICAL AND COMPUTATIONAL METHODS', in The Few Body Problem, Elsevier, pp. 365 - 374, http://dx.doi.org/10.1016/b978-1-4832-2896-9.50034-x
    Book Chapters | 1980
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1980, 'A Review of Numerical Methods for Integral Equations of the Second Kind', in Anderssen RS; de Hoog F; Lukas M (ed.), The Application and Numerical Solution of Integral Equations, Sijthoff and Noordhoff, pp. 51 - 74
    Book Chapters | 1972
    Emeritus Professor Ian Hugh Sloan
    Brady TJ; Sloan IH, 1972, 'Variational approach to breakup calculations in the Amado model', in Slaus I; Moszkowski SA; Haddock RP; van Oers WTH (ed.), Few Particle Problems in the Nuclear Interaction, North Holland/American Elsevier, Amsterdam, pp. 364 - 367
    Book Chapters | 1970
    Emeritus Professor Ian Hugh Sloan
    Cahill RT; Sloan IH, 1970, 'Neutron-deuteron breakup with Amado's model', in McKee JS C; Rolph PM (ed.), The Three-Body Problem, North Holland, Amsterdam, pp. 265 - 274
    Book Chapters | 1964
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Massey HSW, 1964, 'The exchange-polarization approximation for elastic scattering of slow electrons by atoms and ions: electron scattering by helum ions.', in McDowell MR C (ed.), Atomic Collision Processes, North Holland, Amsterdam
  • Journal articles | 2021
    Emeritus Professor Ian Hugh Sloan
    Hesse K; Sloan IH; Womersley RS, 2021, 'Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data', Journal of Computational and Applied Mathematics, vol. 382, pp. 113061 - 113061, http://dx.doi.org/10.1016/j.cam.2020.113061
    Journal articles | 2021
    Emeritus Professor Ian Hugh Sloan
    Hartung T; Jansen K; Kuo FY; Leövey H; Nuyens D; Sloan IH, 2021, 'Lattice meets lattice: Application of lattice cubature to models in lattice gauge theory', Journal of Computational Physics, vol. 443, pp. 110527 - 110527, http://dx.doi.org/10.1016/j.jcp.2021.110527
    Journal articles | 2021
    Emeritus Professor Ian Hugh Sloan
    Guth PA; Kaarnioja V; Kuo FY; Schillings C; Sloan IH, 2021, 'A quasi-monte carlo method for optimal control under uncertainty', SIAM-ASA Journal on Uncertainty Quantification, vol. 9, pp. 354 - 383, http://dx.doi.org/10.1137/19M1294952
    Journal articles | 2021
    Emeritus Professor Ian Hugh Sloan
    Hamann J; Le Gia QT; Sloan IH; Wang YG; Womersley RS, 2021, 'A new probe of Gaussianity and isotropy with application to cosmic microwave background maps', International Journal of Modern Physics C, vol. 32, http://dx.doi.org/10.1142/S0129183121500844
    Journal articles | 2021
    Emeritus Professor Ian Hugh Sloan
    Ganesh M; Kuo FY; Sloan IH, 2021, 'Quasi-monte carlo finite element analysis for wave propagation in heterogeneous random media', SIAM-ASA Journal on Uncertainty Quantification, vol. 9, pp. 106 - 134, http://dx.doi.org/10.1137/20M1334164
    Journal articles | 2020
    Emeritus Professor Ian Hugh Sloan
    Cools R; Kuo FY; Nuyens D; Sloan IH, 2020, 'Fast Component-by-Component Construction of Lattice Algorithms for Multivariate Approximation with Pod and Spod Weights', Mathematics of Computation, vol. 90, pp. 787 - 812, http://dx.doi.org/10.1090/MCOM/3586
    Journal articles | 2020
    Emeritus Professor Ian Hugh Sloan
    Dick J; Hinrichs A; Novak E; Ritter K; Sloan I; Wasilkowski G; Woźniakowski H, 2020, 'Editorial board announcements', Journal of Complexity, vol. 59, pp. 101492 - 101492, http://dx.doi.org/10.1016/s0885-064x(20)30035-2
    Journal articles | 2019
    Emeritus Professor Ian Hugh Sloan
    Gilbert AD; Graham IG; Kuo FY; Scheichl R; Sloan IH, 2019, 'Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients', Numerische Mathematik, vol. 142, pp. 863 - 915, http://dx.doi.org/10.1007/s00211-019-01046-6
    Journal articles | 2019
    Emeritus Professor Ian Hugh Sloan
    Gia QTL; Sloan IH; Womersley RS; Wang YG, 2019, 'Isotropic sparse regularization for spherical harmonic representations of random fields on the sphere', Applied and Computational Harmonic Analysis, http://dx.doi.org/10.1016/j.acha.2019.01.005
    Journal articles | 2019
    Emeritus Professor Ian Hugh Sloan
    Feischl M; Kuo FY; Sloan IH, 2019, 'Correction to: Fast random field generation with H-matrices (Numerische Mathematik, (2018), 140, 3, (639-676), 10.1007/s00211-018-0974-2)', Numerische Mathematik, http://dx.doi.org/10.1007/s00211-019-01033-x
    Journal articles | 2018
    Emeritus Professor Ian Hugh Sloan
    Graham IG; Kuo FY; Nuyens D; Scheichl R; Sloan IH, 2018, 'Circulant embedding with QMC: analysis for elliptic PDE with lognormal coefficients', Numerische Mathematik, vol. 140, pp. 479 - 511, http://dx.doi.org/10.1007/s00211-018-0968-0
    Journal articles | 2018
    Emeritus Professor Ian Hugh Sloan
    Griewank A; Kuo FY; Leövey H; Sloan IH, 2018, 'High dimensional integration of kinks and jumps—Smoothing by preintegration', Journal of Computational and Applied Mathematics, vol. 344, pp. 259 - 274, http://dx.doi.org/10.1016/j.cam.2018.04.009
    Journal articles | 2018
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Woźniakowski H, 2018, 'Multivariate approximation for analytic functions with Gaussian kernels', Journal of Complexity, vol. 45, pp. 1 - 21, http://dx.doi.org/10.1016/j.jco.2017.11.001
    Journal articles | 2018
    Emeritus Professor Ian Hugh Sloan
    Feischl M; Kuo FY; Sloan IH, 2018, 'Fast random field generation with H-matrices', Numerische Mathematik, vol. 140, pp. 639 - 676, http://dx.doi.org/10.1007/s00211-018-0974-2
    Journal articles | 2018
    Emeritus Professor Ian Hugh Sloan
    Graham IG; Kuo FY; Nuyens D; Scheichl R; Sloan IH, 2018, 'Analysis of circulant embedding methods for sampling stationary random fields', SIAM Journal on Numerical Analysis, vol. 56, pp. 1871 - 1895, http://dx.doi.org/10.1137/17M1149730
    Journal articles | 2018
    Emeritus Professor Ian Hugh Sloan
    Gilbert AD; Kuo FY; Sloan IH, 2018, 'Hiding the weights—CBC black box algorithms with a guaranteed error bound', Mathematics and Computers in Simulation, vol. 143, pp. 202 - 214, http://dx.doi.org/10.1016/j.matcom.2016.06.005
    Journal articles | 2018
    Emeritus Professor Ian Hugh Sloan
    Dick J; Hinrichs A; Novak E; Ritter K; Sloan I; Wasilkowski G; Woźniakowski H, 2018, 'Changes of the Editorial Board', Journal of Complexity, vol. 46, pp. iii - iii, http://dx.doi.org/10.1016/s0885-064x(18)30017-7
    Journal articles | 2017
    Emeritus Professor Ian Hugh Sloan
    Le Gia QT; Sloan IH; Wang YG; Womersley RS, 2017, 'Needlet approximation for isotropic random fields on the sphere', Journal of Approximation Theory, vol. 216, pp. 86 - 116, http://dx.doi.org/10.1016/j.jat.2017.01.001
    Journal articles | 2017
    Emeritus Professor Ian Hugh Sloan
    Wang H; Sloan IH, 2017, 'On Filtered Polynomial Approximation on the Sphere', Journal of Fourier Analysis and Applications, vol. 23, pp. 863 - 876, http://dx.doi.org/10.1007/s00041-016-9493-7
    Journal articles | 2017
    Emeritus Professor Ian Hugh Sloan
    Hesse K; Sloan IH; Womersley RS, 2017, 'Radial basis function approximation of noisy scattered data on the sphere', Numerische Mathematik, vol. 137, pp. 579 - 605, http://dx.doi.org/10.1007/s00211-017-0886-6
    Journal articles | 2017
    Emeritus Professor Ian Hugh Sloan
    Le Gia QT; Sloan IH; Wendland H, 2017, 'Zooming from global to local: a multiscale RBF approach', Advances in Computational Mathematics, vol. 43, pp. 581 - 606, http://dx.doi.org/10.1007/s10444-016-9498-4
    Journal articles | 2017
    Emeritus Professor Ian Hugh Sloan
    Wang YG; Le Gia QT; Sloan IH; Womersley RS, 2017, 'Fully discrete needlet approximation on the sphere', Applied and Computational Harmonic Analysis, vol. 43, pp. 292 - 316, http://dx.doi.org/10.1016/j.acha.2016.01.003
    Journal articles | 2017
    Emeritus Professor Ian Hugh Sloan
    Kuo FY; Nuyens D; Plaskota L; Sloan IH; Wasilkowski GW, 2017, 'Infinite-dimensional integration and the multivariate decomposition method', Journal of Computational and Applied Mathematics, vol. 326, pp. 217 - 234, http://dx.doi.org/10.1016/j.cam.2017.05.031
    Journal articles | 2017
    Emeritus Professor Ian Hugh Sloan
    Kuo FY; Scheichl R; Schwab C; Sloan IH; Ullmann E, 2017, 'Multilevel Quasi-Monte Carlo methods for lognormal diffusion problems', Mathematics of Computation, vol. 86, pp. 2827 - 2860, http://dx.doi.org/10.1090/mcom/3207
    Journal articles | 2017
    Emeritus Professor Ian Hugh Sloan
    Griebel M; Kuo FY; Sloan IH, 2017, 'Note on "The smoothing effect of integration in Rd and the ANOVA decomposition"', Mathematics of Computation, vol. 86, pp. 1847 - 1854, http://dx.doi.org/10.1090/mcom/3172
    Journal articles | 2017
    Emeritus Professor Ian Hugh Sloan
    Griebel M; Kuo FY; Sloan IH, 2017, 'The ANOVA decomposition of a non-smooth function of infinitely many variables can have every term smooth', Mathematics of Computation, vol. 86, pp. 1855 - 1876, http://dx.doi.org/10.1090/mcom/3171
    Journal articles | 2017
    Emeritus Professor Ian Hugh Sloan
    Kuo FY; Sloan IH; Woźniakowski H, 2017, 'Multivariate integration for analytic functions with Gaussian Kernels', Mathematics of Computation, vol. 86, pp. 829 - 853, http://dx.doi.org/10.1090/mcom/3144
    Journal articles | 2016
    Emeritus Professor Ian Hugh Sloan
    Cao H; Pereverzyev SV; Sloan IH; Tkachenko P, 2016, 'Two-parameter regularization of ill-posed spherical pseudo-differential equations in the space of continuous functions', Applied Mathematics and Computation, vol. 273, pp. 993 - 1005, http://dx.doi.org/10.1016/j.amc.2015.10.053
    Journal articles | 2016
    Emeritus Professor Ian Hugh Sloan
    Brauchart JS; Reznikov AB; Saff EB; Sloan IH; Wang YG; Womersley RS, 2016, 'Random Point Sets on the Sphere—Hole Radii, Covering, and Separation', Experimental Mathematics, vol. 27, pp. 1 - 20, http://dx.doi.org/10.1080/10586458.2016.1226209
    Journal articles | 2016
    Emeritus Professor Ian Hugh Sloan
    Wang YG; Sloan IH; Womersley RS, 2016, 'Riemann Localisation on the Sphere', Journal of Fourier Analysis and Applications, vol. 24, pp. 1 - 43, http://dx.doi.org/10.1007/s00041-016-9496-4
    Journal articles | 2016
    Emeritus Professor Ian Hugh Sloan
    Novak E; Ritter K; Sloan I; Woźniakowski H, 2016, 'The Future of the Journal of Complexity', Journal of Complexity, vol. 32, pp. v - v, http://dx.doi.org/10.1016/s0885-064x(15)00117-x
    Journal articles | 2015
    Emeritus Professor Ian Hugh Sloan
    Graham IG; Kuo FY; Nichols JA; Scheichl R; Schwab C; Sloan IH, 2015, 'Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients', Numerische Mathematik, vol. 131, pp. 329 - 368, http://dx.doi.org/10.1007/s00211-014-0689-y
    Journal articles | 2015
    Emeritus Professor Ian Hugh Sloan
    Pereverzyev SV; Sloan IH; Tkachenko P, 2015, 'Parameter choice strategies for least-squares approximation of noisy smooth functions on the sphere', SIAM Journal on Numerical Analysis, vol. 53, pp. 820 - 835, http://dx.doi.org/10.1137/140964990
    Journal articles | 2015
    Emeritus Professor Ian Hugh Sloan
    Kuo FY; Schwab C; Sloan IH, 2015, 'Multi-level Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic PDEs with Random Coefficients', Foundations of Computational Mathematics, vol. 15, pp. 411 - 449, http://dx.doi.org/10.1007/s10208-014-9237-5
    Journal articles | 2015
    Emeritus Professor Ian Hugh Sloan
    Brauchart JS; Dick J; Saff EB; Sloan IH; Wang YG; Womersley RS, 2015, 'Covering of spheres by spherical caps and worst-case error for equal weight cubature in Sobolev spaces', Journal of Mathematical Analysis and Applications, vol. 431, pp. 782 - 811, http://dx.doi.org/10.1016/j.jmaa.2015.05.079
    Journal articles | 2015
    Emeritus Professor Ian Hugh Sloan
    Novak E; Ritter K; Sloan IH; Traub JF; Woźniakowski H, 2015, 'Bernd Carl, Aicke Hinrichs, and Philipp Rudolph share the 2014 Best Paper Award', Journal of Complexity, vol. 31, pp. v, http://dx.doi.org/10.1016/S0885-064X(15)00031-X
    Journal articles | 2015
    Emeritus Professor Ian Hugh Sloan
    Novak E; Sloan I; Ritter K; Traub J; Woźniakowski H, 2015, 'Tino Ullrich Wins the 2014 Information-Based Complexity Young Researcher Award', Journal of Complexity, vol. 31, pp. v - v, http://dx.doi.org/10.1016/s0885-064x(15)00012-6
    Journal articles | 2015
    Emeritus Professor Ian Hugh Sloan
    Novak E; Ritter K; Sloan I; Woźniakowski H, 2015, 'Joseph F. Traub, the Founding Editor of the Journal of Complexity, dies at 83', Journal of Complexity, vol. 31, pp. v - v, http://dx.doi.org/10.1016/s0885-064x(15)00094-1
    Journal articles | 2014
    Emeritus Professor Ian Hugh Sloan
    Brauchart JS; Saff EB; Sloan IH; Womersley RS, 2014, 'QMC designs: Optimal order Quasi Monte Carlo integration schemes on the sphere', Mathematics of Computation, vol. 83, pp. 2821 - 2851, http://dx.doi.org/10.1090/S0025-5718-2014-02839-1
    Journal articles | 2014
    Emeritus Professor Ian Hugh Sloan
    Novak E; Sloan I; Traub J; Woźniakowski H, 2014, 'Christoph Aistleitner Wins the 2013 Information-Based Complexity Young Researcher Award', Journal of Complexity, vol. 30, pp. v - v, http://dx.doi.org/10.1016/s0885-064x(13)00095-2
    Journal articles | 2014
    Emeritus Professor Ian Hugh Sloan
    Chernih A; Sloan IH; Womersley RS, 2014, 'Wendland functions with increasing smoothness converge to a Gaussian', Advances in Computational Mathematics, vol. 40, pp. 185 - 200, http://dx.doi.org/10.1007/s10444-013-9304-5
    Journal articles | 2014
    Emeritus Professor Ian Hugh Sloan
    An C; Chen X; Sloan IH; Womersley RS, 2014, 'Erratum: Regularized least squares approximations on the sphere using spherical designs (SIAM Journal on Numerical Analysis (2012) 50 (1513-1534))', SIAM Journal on Numerical Analysis, vol. 52, pp. 2205 - 2206, http://dx.doi.org/10.1137/140962504
    Journal articles | 2014
    Emeritus Professor Ian Hugh Sloan
    Novak E; Sloan IH; Traub JF; Wozniakowski H, 2014, 'Frances Kuo Wins the 2014 Information-Based Complexity Prize', Journal of Complexity, vol. 30, pp. v - v, http://dx.doi.org/10.1016/s0885-064x(14)00056-9
    Journal articles | 2014
    Emeritus Professor Ian Hugh Sloan
    Novak E; Sloan IH; Traub JF; Wozniakowski H, 2014, 'Shu Tezuka, Joos Heintz, Bart Kuijpers, and Andrés Rojas Paredes Share the 2013 Best Paper Award', Journal of Complexity, vol. 30, pp. v - v, http://dx.doi.org/10.1016/s0885-064x(14)00036-3
    Journal articles | 2013
    Emeritus Professor Ian Hugh Sloan
    Griebel M; Kuo FY; Sloan IH, 2013, 'The smoothing effect of integration in $R^d$ and the ANOVA decomposition', Mathematics of Computation, vol. 82, pp. 383 - 400, http://dx.doi.org/10.1090/S0025-5718-2012-02578-6
    Journal articles | 2013
    Emeritus Professor Ian Hugh Sloan
    Sinescu V; Kuo FY; Sloan IH, 2013, 'On the Choice of Weights in a Function Space for Quasi-Monte Carlo Methods for a Class of Generalised Response Models in Statistics', Springer Proceedings in Mathematics and Statistics, vol. 65, pp. 631 - 647, http://dx.doi.org/10.1007/978-3-642-41095-6_33
    Journal articles | 2013
    Emeritus Professor Ian Hugh Sloan
    Dick J; Kuo FY; Sloan IH, 2013, 'High dimensional numerical integration - the Quasi-Monte Carlo way', Acta Numerica, vol. 22, pp. 133 - 288, http://dx.doi.org/10.1017/S0962492913000044
    Journal articles | 2013
    Emeritus Professor Ian Hugh Sloan
    Novak E; Sloan IH; Traub JF; Wozniakowski H, 2013, 'Dmitriy Bilyk, Lutz Kämmerer, Stefan Kunis, Daniel Potts, Volodya Temlyakov and Rui Yu share the 2012 Best Paper Award', Journal of Complexity, vol. 29, pp. 141 - 141, http://dx.doi.org/10.1016/j.jco.2013.01.001
    Journal articles | 2013
    Emeritus Professor Ian Hugh Sloan
    Novak E; Sloan I; Traub J; Woźniakowski H, 2013, 'Pawel Przybylowicz wins the 2012 Information-Based Complexity Young Researcher Award', Journal of Complexity, vol. 29, pp. 2 - 2, http://dx.doi.org/10.1016/j.jco.2012.11.002
    Journal articles | 2013
    Emeritus Professor Ian Hugh Sloan
    Kuo FY; Sloan IH; Schwab C, 2013, 'Erratum: Quasi-Monte Carlo methods for high-dimensional integration: The standard (weighted hilbert space) setting and beyond (ANZIAM Journal (2011) 53 (1-37))', ANZIAM Journal, vol. 54, pp. 216 - 219, http://dx.doi.org/10.1017/S144618111300014X
    Journal articles | 2012
    Emeritus Professor Ian Hugh Sloan
    Le Gia QT; Sloan IH; Wendland H, 2012, 'Multiscale approximation for functions in arbitrary Sobolev spaces by scaled radial basis functions on the unit sphere', Applied and Computational Harmonic Analysis, vol. 32, pp. 401 - 412, http://dx.doi.org/10.1016/j.acha.2011.07.007
    Journal articles | 2012
    Emeritus Professor Ian Hugh Sloan
    Le Gia QT; Sloan IH; Wendland H, 2012, 'Multiscale RBF collocation for solving PDEs on spheres', Numerische Mathematik, vol. 121, pp. 99 - 125, http://dx.doi.org/10.1007/s00211-011-0428-6
    Journal articles | 2012
    Emeritus Professor Ian Hugh Sloan
    An C; Chen X; Sloan IH; Womersley RS, 2012, 'Regularized least squares approximations on the sphere using spherical designs', SIAM Journal on Numerical Analysis, vol. 50, pp. 1513 - 1534, http://dx.doi.org/10.1137/110838601
    Journal articles | 2012
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Womersley RS, 2012, 'Filtered hyperinterpolation: a constructive polynomial approximation on the sphere', International Journal on Geomathematics, vol. 3, pp. 95 - 117, http://dx.doi.org/10.1007/s13137-011-0029-7
    Journal articles | 2012
    Emeritus Professor Ian Hugh Sloan
    Kuo FY; Schwab CH; Sloan IH, 2012, 'Quasi-monte carlo methods for high-dimensional integration: The standard (weighted hilbert space) setting and beyond', ANZIAM Journal, vol. 53, pp. 1 - 37, http://dx.doi.org/10.1017/S1446181112000077
    Journal articles | 2012
    Emeritus Professor Ian Hugh Sloan
    Kuo FY; Schwab CH; Sloan IH, 2012, 'Quasi-Monte Carlo finite element methods for a class of elliptic partial differential equations with random coefficients', SIAM Journal on Numerical Analysis, vol. 50, pp. 3351 - 3374, http://dx.doi.org/10.1137/110845537
    Journal articles | 2012
    Emeritus Professor Ian Hugh Sloan
    Novak E; Sloan IH; Traub JF; Wozniakowski H, 2012, 'Thomas Daun, Leszek Plaskota, Greg W. Wasilkowski Win the 2011 Best Paper Award', Journal of Complexity, vol. 28, pp. 519 - 519, http://dx.doi.org/10.1016/j.jco.2012.08.003
    Journal articles | 2012
    Emeritus Professor Ian Hugh Sloan
    Kuo FY; Schwab C; Sloan IH, 2012, 'Erratum: Quasi-monte carlo methods for high-dimensional integration: The standard (weighted hilbert space) setting and beyond (ANZIAM Journal (2011) 53 (1-37) DOI: 10.1017/S1446181112000077)', ANZIAM Journal, vol. 53, pp. 251, http://dx.doi.org/10.1017/S1446181112000144
    Journal articles | 2011
    Emeritus Professor Ian Hugh Sloan
    Ganesh M; Le Gia QT; Sloan IH, 2011, 'A pseudospectral quadrature method for Navier-Stokes equations on rotating spheres', Mathematics of Computation, vol. 80, pp. 1397 - 1430, http://dx.doi.org/10.1090/S0025-5718-2010-02440-8
    Journal articles | 2011
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 2011, 'Polynomial approximation on spheres - Generalizing de la Vallée-Poussin', Computational Methods in Applied Mathematics, vol. 11, pp. 540 - 552, http://dx.doi.org/10.2478/cmam-2011-0029
    Journal articles | 2011
    Emeritus Professor Ian Hugh Sloan
    Wang X; Sloan IH, 2011, 'Quasi-Monte Carlo methods in financial engineering: An equivalence principle and dimension reduction', Operations Research, vol. 59, pp. 80 - 95, http://dx.doi.org/10.1287/opre.1100.0853
    Journal articles | 2011
    Emeritus Professor Ian Hugh Sloan
    Graham IG; Kuo FY; Nuyens D; Scheichl R; Sloan IH, 2011, 'Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications', Journal of Computational Physics, vol. 230, pp. 3668 - 3694, http://dx.doi.org/10.1016/j.jcp.2011.01.023
    Journal articles | 2011
    Emeritus Professor Ian Hugh Sloan
    Chan CK; Chen X; Qi L; Rogers C; Shi ZC; Sloan I, 2011, 'Journal of Computational and Applied Mathematics: Preface', Journal of Computational and Applied Mathematics, vol. 235, pp. 3703 - 3704, http://dx.doi.org/10.1016/j.cam.2011.01.013
    Journal articles | 2011
    Emeritus Professor Ian Hugh Sloan
    Le Gia QT; Sloan IH; Wathen AJ, 2011, 'Stability and preconditioning for a hybrid approximation on the sphere', Numerische Mathematik, vol. 118, pp. 695 - 711, http://dx.doi.org/10.1007/s00211-011-0369-0
    Journal articles | 2011
    Emeritus Professor Ian Hugh Sloan
    Novak E; Sloan IH; Traub JF; Wozniakowski H, 2011, 'Aicke Hinrichs, Simon Foucart, Alain Pajor, Holger Rauhut, Tino Ullrich win the 2010 Best Paper Award', Journal of Complexity, vol. 27, pp. 501 - 501, http://dx.doi.org/10.1016/j.jco.2011.10.001
    Journal articles | 2010
    Emeritus Professor Ian Hugh Sloan
    Le Gia QT; Sloan IH; Wendland H, 2010, 'Multiscale analysis in Sobolev spaces on the sphere', SIAM Journal on Numerical Analysis, vol. 48, pp. 2065 - 2090, http://dx.doi.org/10.1137/090774550
    Journal articles | 2010
    Emeritus Professor Ian Hugh Sloan
    An C; Chen X; Sloan IH; Womersley RS, 2010, 'Well conditioned spherical designs for integration and interpolation on the two-sphere', SIAM Journal on Numerical Analysis, vol. 48, pp. 2135 - 2157, http://dx.doi.org/10.1137/100795140
    Journal articles | 2010
    Emeritus Professor Ian Hugh Sloan
    Tran T; Le Gia QT; Sloan IH; Stephan EP, 2010, 'Preconditioners for pseudodifferential equations on the sphere with radial basis functions', Numerische Mathematik, vol. 115, pp. 141 - 163, http://dx.doi.org/10.1007/s00211-009-0269-8
    Journal articles | 2010
    Emeritus Professor Ian Hugh Sloan
    Griebel M; Kuo FY; Sloan IH, 2010, 'The smoothing effect of the ANOVA decomposition', Journal of Complexity, vol. 26, pp. 523 - 551, http://dx.doi.org/10.1016/j.jco.2010.04.003
    Journal articles | 2010
    Emeritus Professor Ian Hugh Sloan
    Kuo FY; Sloan IH; Wasilkowski GW; Wozniakowski H, 2010, 'On decompositions of multivariate functions', Mathematics of Computation, vol. 79, pp. 953 - 966, http://dx.doi.org/10.1090/S0025-5718-09-02319-9
    Journal articles | 2010
    Emeritus Professor Ian Hugh Sloan
    Kuo FY; Sloan IH; Wasilkowski GW; Waterhouse BJ, 2010, 'Randomly shifted lattice rules with the optimal rate of convergence for unbounded integrands', Journal of Complexity, vol. 26, pp. 135 - 160, http://dx.doi.org/10.1016/j.jco.2009.07.005
    Journal articles | 2010
    Emeritus Professor Ian Hugh Sloan
    Kuo FY; Sloan IH; Wasilkowski GW; Wozniakowski H, 2010, 'Liberating the dimension', Journal of Complexity, vol. 26, pp. 422 - 454, http://dx.doi.org/10.1016/j.jco.2009.12.003
    Journal articles | 2010
    Emeritus Professor Ian Hugh Sloan
    Hegland M; Heinrich S; Sloan IH, 2010, 'Journal of Complexity: Guest Editors' Preface', Journal of Complexity, vol. 26, pp. 407, http://dx.doi.org/10.1016/S0885-064X(10)00078-6
    Journal articles | 2010
    Emeritus Professor Ian Hugh Sloan
    Novak E; Sloan IH; Traub JF; Wozniakowski H, 2010, 'Frank Aurzada, Steffen Dereich, Michael Scheutzow, and Christian Vormoor win the 2009 best paper award', Journal of Complexity, vol. 26, pp. 335 - 335, http://dx.doi.org/10.1016/s0885-064x(10)00058-0
    Journal articles | 2009
    Emeritus Professor Ian Hugh Sloan
    Le Gia QT; Tran T; Sloan IH; Stephan EP, 2009, 'Boundary integral equations on the sphere with radial basis functions: error analysis', Applied Numerical Mathematics, vol. 59, pp. 2857 - 2871, http://dx.doi.org/10.1016/j.apnum.2008.12.033
    Journal articles | 2009
    Emeritus Professor Ian Hugh Sloan
    Le Gia QT; Sloan IH; Tran T, 2009, 'Overlapping additive schwarz preconditioners for elliptic pdes on the unit sphere', Mathematics of Computation, vol. 78, pp. 79 - 101, http://dx.doi.org/10.1090/S0025-5718-08-02150-9
    Journal articles | 2009
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Womersley RS, 2009, 'A variational characterisation of spherical designs', Journal of Approximation Theory, vol. 159, pp. 308 - 318, http://dx.doi.org/10.1016/j.jat.2009.02.014
    Journal articles | 2009
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Wendland H, 2009, 'Inf-sup condition for spherical polynomials and radial basis functions on spheres', Mathematics of Computation, vol. 78, pp. 1319 - 1331, http://dx.doi.org/10.1090/S0025-5718-09-02207-8
    Journal articles | 2008
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Wang X, 2008, 'Low discrepancy sequences in high dimensions: How well are their projections distributed?', Journal of Computational and Applied Mathematics, vol. 213, pp. 366 - 386, http://dx.doi.org/10.1016/j.cam.2007.01.005
    Journal articles | 2008
    Emeritus Professor Ian Hugh Sloan
    Kuo FY; Sloan IH; Wozniakowski H, 2008, 'Lattice rule algorithms for multivariate approximation in the average case setting', Journal of Complexity, vol. 24, pp. 283 - 323, http://dx.doi.org/10.1016/j.jco.2006.10.006
    Journal articles | 2008
    Emeritus Professor Ian Hugh Sloan
    Kuo FY; Dunsmuir WT; Sloan IH; Wand MP; Womersley RS, 2008, 'Quasi-Monte Carlo for highly structured generalised response models', Methodology and Computing in Applied Probability, vol. 10, pp. 239 - 275, http://dx.doi.org/10.1007/s11009-007-9045-3
    Journal articles | 2008
    Emeritus Professor Ian Hugh Sloan
    Kuo FY; Giles M; Sloan IH; Waterhouse BJ, 2008, 'Quasi-Monte Carlo for finance applications', The ANZIAM Journal, vol. 50, pp. C308 - C323
    Journal articles | 2008
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 2008, 'Counting Australia in: the people, organizations, and institutions of Australian mathematics', The Mathematical Intelligencer, vol. 30, pp. 63 - 65, http://dx.doi.org/10.1007/bf02985739
    Journal articles | 2007
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Sommariva A, 2007, 'Approximation on the sphere using radial basis functions plus polynomials', Advances in Computational Mathematics, vol. Online, pp. 147 - 177, http://dx.doi.org/10.1007/s10444-007-9048-1
    Journal articles | 2007
    Emeritus Professor Ian Hugh Sloan
    Hesse K; Mhaskar H; Sloan IH, 2007, 'Quadrature in Besov spaces on the Euclidean sphere', Journal of Complexity, vol. 23, pp. 528 - 552, http://dx.doi.org/10.1016/j.jco.2006.10.004
    Journal articles | 2007
    Emeritus Professor Ian Hugh Sloan
    Kuo FY; Sloan IH; Wozniakowski H, 2007, 'Periodization strategy may fail in high dimensions', Numerical Algorithms, vol. 46, pp. 369 - 391, http://dx.doi.org/10.1007/s11075-007-9145-8
    Journal articles | 2007
    Emeritus Professor Ian Hugh Sloan
    Dick J; Kritzer P; Kuo FY; Sloan IH, 2007, 'Lattice-Nystrom method for Fredholm integral equations of the second kind with convolution type kernels', Journal of Complexity, vol. 23, pp. 752 - 772, http://dx.doi.org/10.1016/j.jco.2007.03.004
    Journal articles | 2007
    Emeritus Professor Ian Hugh Sloan
    Ganesh M; Langdon S; Sloan IH, 2007, 'Efficient evaluation of highly oscillatory acoustic scattering surface integrals', Journal of Computational and Applied Mathematics, vol. 204, pp. 363 - 374, http://dx.doi.org/10.1016/j.cam.2006.03.029
    Journal articles | 2007
    Emeritus Professor Ian Hugh Sloan
    Wang X; Sloan IH, 2007, 'Brownian bridge and principal component analysis: towards removing the curse of dimensionality', IMA Journal of Numerical Analysis, vol. 27, pp. 631 - 654, http://dx.doi.org/10.1093/imanum/drl044
    Journal articles | 2007
    Emeritus Professor Ian Hugh Sloan
    Hesse K; Kuo FY; Sloan IH, 2007, 'A component-by-component approach to efficient numerical integration over products of spheres', Journal of Complexity, vol. 23, pp. 25 - 51, http://dx.doi.org/10.1016/j.jco.2006.08.001
    Journal articles | 2007
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 2007, 'Finite-Order Integration Weights Can be Dangerous', Computational Methods in Applied Mathematics, vol. 7, pp. 239 - 254, http://dx.doi.org/10.2478/cmam-2007-0015
    Journal articles | 2006
    Emeritus Professor Ian Hugh Sloan
    Hesse K; Sloan IH, 2006, 'Cubature over the sphere S2 in Sobolev spaces of arbitrary order', Journal of Approximation Theory, vol. 141, pp. 118 - 133, http://dx.doi.org/10.1016/j.jat.2006.01.004
    Journal articles | 2006
    Emeritus Professor Ian Hugh Sloan
    Dick J; Sloan IH; Wang XJ; Wozniakowski H, 2006, 'Good lattice rules in weighted Korobov spaces with general weights', Numerische Mathematik, vol. 103, pp. 63 - 97, http://dx.doi.org/10.1007/s00211-005-0674-6
    Journal articles | 2006
    Emeritus Professor Ian Hugh Sloan
    Wang XJ; Sloan IH, 2006, 'Efficient weighted lattice rules with applications to finance', SIAM journal of scientific computation, vol. 28, pp. 728 - 750, http://dx.doi.org/10.1137/S1064827502418197
    Journal articles | 2006
    Emeritus Professor Ian Hugh Sloan
    Waterhouse BJ; Kuo FY; Sloan IH, 2006, 'Randomly shifted lattice rules on the unit cube for unbounded integrands in high dimensions', Journal of Complexity, vol. 22, pp. 71 - 101, http://dx.doi.org/10.1016/j.jco.2005.06.004
    Journal articles | 2006
    Emeritus Professor Ian Hugh Sloan
    Plaskota L; Sloan I, 2006, 'Guest Editors' preface', Journal of Complexity, vol. 22, pp. 4, http://dx.doi.org/10.1016/j.jco.2006.09.001
    Journal articles | 2006
    Emeritus Professor Ian Hugh Sloan
    Grigorieff RD; Sloan IH, 2006, 'Qualocation for boundary integral equations', Journal of Integral Equations and Applications, vol. 18, pp. 117 - 140, http://dx.doi.org/10.1216/jiea/1181075367
    Journal articles | 2006
    Emeritus Professor Ian Hugh Sloan
    Dahmen W; Geronimo J; Xin L; Pritsker I; Sloan I; Lubinsky D, 2006, 'Special volume on constructive function theory', Electronic Transactions on Numerical Analysis, vol. 25
    Journal articles | 2005
    Emeritus Professor Ian Hugh Sloan
    Hesse K; Sloan IH, 2005, 'Worst-case errors in a Sobolev space setting for cubature over the sphere S-2', Bulletin of the Australian Mathematical Society, vol. 71, pp. 81 - 105
    Journal articles | 2005
    Emeritus Professor Ian Hugh Sloan
    Hesse K; Sloan IH, 2005, 'Optimal lower bounds for cubature error on the sphere S2', Journal of Complexity, vol. 21, pp. 790 - 803, http://dx.doi.org/10.1016/j.jco.2005.07.004
    Journal articles | 2005
    Emeritus Professor Ian Hugh Sloan
    Mclean W; Sloan IH; Thomee V, 2005, 'Time discretization via Laplace transformation of an integro-differential equation of an integro-differential equation of parabolic type', Numerische Mathematik, vol. 102, pp. 497 - 522, http://dx.doi.org/10.1007/s00211-005-0657-7
    Journal articles | 2005
    Emeritus Professor Ian Hugh Sloan
    Wang XL; Sloan IH, 2005, 'Why are high-dimensional finance problems often of low effective dimension?', SIAM journal of scientific computation, vol. 27, pp. 159 - 183, http://dx.doi.org/10.1137/S1064827503429429
    Journal articles | 2005
    Emeritus Professor Ian Hugh Sloan
    Kuo FY; Sloan IH, 2005, 'Quasi-Monte Carlo methods can be efficient for integration over products of spheres', Journal of Complexity, vol. 21, pp. 196 - 210, http://dx.doi.org/10.1016/j.jco.2004.07.001
    Journal articles | 2005
    Emeritus Professor Ian Hugh Sloan
    Dick J; Kuo FY; Pillichshammer F; Sloan IH, 2005, 'Construction algorithms for polynomial lattice rules for multivariate integration', Mathematics of Computation, vol. 74, pp. 1895 - 1921, http://dx.doi.org/10.1090/S0025-5718-05-01742-4
    Journal articles | 2005
    Emeritus Professor Ian Hugh Sloan
    Kuo FY; Sloan IH, 2005, 'Lifting the curse of dimensionality', Notices of the American Mathematical Society, vol. 52, pp. 1320 - 1328
    Journal articles | 2005
    Emeritus Professor Ian Hugh Sloan
    Grigorieff RD; Sloan IH, 2005, 'Discrete orthogonal projections on multiple knot periodic splines', Journal of Approximation Theory, vol. 137, pp. 201 - 225, http://dx.doi.org/10.1016/j.jat.2005.09.003
    Journal articles | 2005
    Emeritus Professor Ian Hugh Sloan
    Hickernell FJ; Sloan IH; Wasilkowski GW, 2005, 'A piecewise constant algorithm for weighted L-1 approximation over bounded or unbounded regions in R-s', SIAM Journal on Numerical Analysis, vol. 43, pp. 1003 - 1020, http://dx.doi.org/10.1137/S0036142903427664
    Journal articles | 2004
    Emeritus Professor Ian Hugh Sloan
    Hickernell FJ; Sloan IH; Wasilkowski GW, 2004, 'On strong tractability of weighted multivariate integration', Mathematics of Computation, vol. 73, pp. 1903 - 1911, http://dx.doi.org/10.1090/S0025-5718-04-01653-9
    Journal articles | 2004
    Emeritus Professor Ian Hugh Sloan
    Hickernell FJ; Sloan IH; Wasilkowski GW, 2004, 'On tractability of weighted integration over bounded and unboundedregions in R-s', Mathematics of Computation, vol. 73, pp. 1885 - 1901, http://dx.doi.org/10.1090/S0025-5718-04-01624-2
    Journal articles | 2004
    Emeritus Professor Ian Hugh Sloan
    Novak E; Sloan IH; Wozniakowski H, 2004, 'Tractability of approximation for weighted Korobov spaces on classical and quantum computers', Foundations of Computational Mathematics, vol. 4, pp. 121 - 156, http://dx.doi.org/10.1007/s10208-002-0074-6
    Journal articles | 2004
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Xiaoqun W; Wozniakowski H, 2004, 'Finite-order weights imply tractability of multivariate integration', Journal of Complexity, vol. 20, pp. 46 - 74, http://dx.doi.org/10.1016/j.jco.2003.11.003
    Journal articles | 2004
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Womersley RS, 2004, 'Extremal systems of points and numerical integration on the sphere', Advances in Computational Mathematics, vol. 21, pp. 107 - 125
    Journal articles | 2004
    Emeritus Professor Ian Hugh Sloan
    Dick J; Sloan IH; Wang XJ; Wozniakowski H, 2004, 'Liberating the weights', Journal of Complexity, vol. 20, pp. 593 - 623, http://dx.doi.org/10.1016/j.jco.2003.06.002
    Journal articles | 2004
    Emeritus Professor Ian Hugh Sloan
    Wang X; Sloan IH; Dick J, 2004, 'On Korobov lattice rules in weighted spaces', SIAM Journal on Numerical Analysis, vol. 42, pp. 1760 - 1779, http://dx.doi.org/10.1137/S0036142903425021
    Journal articles | 2004
    Emeritus Professor Ian Hugh Sloan
    Hesse K; Sloan IH, 2004, 'High order numerical ntegration on the sphere and extremal point sets', Journal of Computational Technologies, vol. 9, pp. 4 - 12
    Journal articles | 2003
    Emeritus Professor Ian Hugh Sloan
    Sheen D; Sloan IH; Thomee V, 2003, 'A parallel method for time discretization of parabolic equations based on Laplace transformation and quadrature', IMA Journal of Numerical Analysis, vol. 23, pp. 269 - 299, http://dx.doi.org/10.1093/imanum/23.2.269
    Journal articles | 2002
    Emeritus Professor Ian Hugh Sloan
    Graham IG; Sloan IH, 2002, 'Fully discrete spectral boundary integral methods for Helmholtz problems on smooth closed surfaces in R3', American Journal of Science, vol. 92, pp. 289 - 323, http://dx.doi.org/10.1007/s002110100343
    Journal articles | 2002
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Wozniakowski H, 2002, 'Tractability of integration in non-periodic and periodic weighted tenor product Hilbert spaces', Journal of Complexity, vol. 18, pp. 479 - 499, http://dx.doi.org/10.1006/jcom.2001.0626
    Journal articles | 2002
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Womersley RS, 2002, 'Good approximation on the sphere, with application to geodesy and the scattering of sound', Journal of Computational and Applied Mathematics, vol. 149, pp. 227 - 237, http://dx.doi.org/10.1016/S0377-0427(02)00532-0
    Journal articles | 2002
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Kuo FY; Joe S, 2002, 'On the step-by-step construction of Quasi-Monte Carlo integration rules that achieve strong tractability error bounds in weighted Sobolev spaces', Mathematics of Computation, vol. 71, pp. 1609 - 1640, http://dx.doi.org/10.1090/S0025-5718-02-01420-5
    Journal articles | 2002
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Kuo FY; Joe S, 2002, 'Constructing randomly shifted lattice rules in weighted Sobolev spaces', SIAM Journal on Numerical Analysis, vol. 40, pp. 1650 - 1665, http://dx.doi.org/10.1137/S0036142901393942
    Journal articles | 2001
    Emeritus Professor Ian Hugh Sloan
    Le Gia QT; Sloan IH, 2001, 'The uniform norm of hyperinterpolation on the unit sphere in an arbitrary number of dimensions', Constructive Approximation, vol. 17, pp. 249 - 265, http://dx.doi.org/10.1007/s003650010025
    Journal articles | 2001
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Wozniakowski H, 2001, 'Tractability of multivariate integration for weighted Korobov classes', Journal of Complexity, vol. 17, pp. 697 - 721, http://dx.doi.org/10.1006/jcom.2001.0599
    Journal articles | 2001
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Reztsov AV, 2001, 'Component-by-component construction of good lattice rules', Mathematics of Computation, vol. 71, pp. 263 - 273, http://dx.doi.org/10.1090/S0025-5718-01-01342-4
    Journal articles | 2001
    Emeritus Professor Ian Hugh Sloan
    Womersley RS; Sloan IH, 2001, 'How good can polynomial interpolation on the sphere be?', Advances in Computational Mathematics, vol. 14, pp. 195 - 226, http://dx.doi.org/10.1023/A:1016630227163
    Journal articles | 2001
    Emeritus Professor Ian Hugh Sloan
    Grigorieff RD; Sloan IH, 2001, 'On qualocation and collocation methods for singular integral equations with piecewise continuous coefficients, using continuous splines on quasi-uniform meshes', Operator theory: Advances and applications, vol. 121, pp. 146 - 161, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000167557300008&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a
    Journal articles | 2001
    Emeritus Professor Ian Hugh Sloan
    Tran T, 2001, 'The tolerant qualocation method for variable-coefficient equations on curves', Journal of Integral Equations and Applications, vol. 13, pp. 73 - 98, http://dx.doi.org/10.1216/jiea/996986883
    Journal articles | 2000
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 2000, 'Qualocation', Journal of Computational and Applied Mathematics, vol. 125, pp. 461 - 478, http://dx.doi.org/10.1016/S0377-0427(00)00485-4
    Journal articles | 2000
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Womersley RS, 2000, 'Constructive polynomial approximation on the sphere', Journal of Approximation Theory, vol. 103, pp. 91 - 118, http://dx.doi.org/10.1006/jath.1999.3426
    Journal articles | 2000
    Emeritus Professor Ian Hugh Sloan
    Grigorieff RD; Sloan IH; Brandts JH, 2000, 'Superapproximation and commutator properties of discrete orthogonal projections for continuous splines', Journal of Approximation Theory, vol. 107, pp. 244 - 267, http://dx.doi.org/10.1006/jath.2000.3506
    Journal articles | 2000
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 2000, 'Multiple integration is intractable but not hopeless', Journal of Australian Mathematical Society B, vol. 42, pp. 3 - 8
    Journal articles | 1999
    Emeritus Professor Ian Hugh Sloan
    Sheen D; Sloan IH; Thomee V, 1999, 'A parallel method for time-discretization of parabolic problems based on contour integral representation and quadrature', Mathematics of Computation, vol. 69, pp. 177 - 195
    Journal articles | 1999
    Emeritus Professor Ian Hugh Sloan
    Ganesh M; Sloan IH, 1999, 'Optimal order spline methods for nonlinear differential and integro-differential equations', Applied Numerical Mathematics, vol. 29, pp. 445 - 478, http://dx.doi.org/10.1016/S0168-9274(98)00067-1
    Journal articles | 1999
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Wendland W, 1999, 'Spline qualocation methods for variable-coefficient elliptic equations on curves', American Journal of Science, vol. 83, pp. 497 - 533, http://dx.doi.org/10.1007/s002110050461
    Journal articles | 1999
    Emeritus Professor Ian Hugh Sloan
    Cao HT; Kelly DW; Sloan IH, 1999, 'Local error bounds for post-processed finite element calculations', International Journal for Numerical Methods in Engineering, vol. 45, pp. 1085 - 1098, http://dx.doi.org/10.1002/(SICI)1097-0207(19990720)45:8<1085::AID-NME621>3.0.CO;2-L
    Journal articles | 1999
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Wendland W, 1999, 'Commutator properties for periodic splines', Journal of Approximation Theory, vol. 97, pp. 254 - 281, http://dx.doi.org/10.1006/jath.1997.3276
    Journal articles | 1998
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Wozniakowski H, 1998, 'When are quasi-Monte Carlo algorithms efficient for high dimensional integrals?', Journal of Complexity, vol. 14, pp. 1 - 33, http://dx.doi.org/10.1006/jcom.1997.0463
    Journal articles | 1998
    Emeritus Professor Ian Hugh Sloan
    Wang S; Sloan IH; Kelly DW, 1998, 'Computable error bounds for pointwise derivatives of a Neumann problem', IMA Journal of Numerical Analysis, vol. 18, pp. 251 - 271, http://dx.doi.org/10.1093/imanum/18.2.251
    Journal articles | 1998
    Emeritus Professor Ian Hugh Sloan
    Ainsworth M; Grigorieff RD; Sloan IH, 1998, 'Semi-discrete Galerkin approximation of the single layer equation by general splines', American Journal of Science, vol. 79, pp. 157 - 174, http://dx.doi.org/10.1007/s002110050335
    Journal articles | 1998
    Emeritus Professor Ian Hugh Sloan
    Grigorieff RD; Sloan IH, 1998, 'Stability of discrete orthogonal projections for continuous splines', Bulletin of the Australian Mathematical Society, vol. 58, pp. 307 - 332
    Journal articles | 1998
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Wendland W, 1998, 'Qualocation methods for elliptic boundary integral equations', American Journal of Science, vol. 79, pp. 451 - 483, http://dx.doi.org/10.1007/s002110050347
    Journal articles | 1998
    Emeritus Professor Ian Hugh Sloan
    Kress R; Sloan IH; Stenger F, 1998, 'A sinc quadrature method for the double-layer integral equation in planar domains with corners', Journal of Integral Equations and Applications, vol. 10, pp. 291 - 317, http://dx.doi.org/10.1216/jiea/1181074232
    Journal articles | 1998
    Emeritus Professor Ian Hugh Sloan
    Tran T; Sloan IH, 1998, 'Tolerant Qualocation A Qualocation Method for Boundary Integral Equations with Reduced Regularity Requirement', Journal of Integral Equations and Applications, vol. 10, pp. 85 - 115, http://dx.doi.org/10.1216/jiea/1181074209
    Journal articles | 1997
    Emeritus Professor Ian Hugh Sloan
    Lyness JN; Sloan IH, 1997, 'Cubature rules of prescribed merit', SIAM Journal on Numerical Analysis, vol. 34, pp. 586 - 602, http://dx.doi.org/10.1137/S0036142994267485
    Journal articles | 1997
    Emeritus Professor Ian Hugh Sloan
    Ainsworth M; Kelly DW; Sloan IH; Wang S, 1997, 'Post-processing with computable error bounds fro the finite element approximation of a nonlinear heat conduction problem', IMA Journal of Numerical Analysis, vol. 17, pp. 547 - 561, http://dx.doi.org/10.1093/imanum/17.4.547
    Journal articles | 1997
    Emeritus Professor Ian Hugh Sloan
    Grigorieff RD; Sloan IH, 1997, 'Galerkin approximation with quadrature for the screen problem in R3', Journal of Integral Equations and Applications, vol. 9, pp. 293 - 319, http://dx.doi.org/10.1216/jiea/1181076026
    Journal articles | 1997
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Wozniakowski H, 1997, 'An intractability result for multiple integration', Mathematics of Computation, vol. 66, pp. 1119 - 1124
    Journal articles | 1997
    Emeritus Professor Ian Hugh Sloan
    Novak E; Sloan IH; Wozniakowski H, 1997, 'Tractability of tensor product linear operators', Journal of Complexity, vol. 13, pp. 387 - 418, http://dx.doi.org/10.1006/jcom.1997.0454
    Journal articles | 1997
    Emeritus Professor Ian Hugh Sloan
    Monegato G; Sloan IH, 1997, 'Numerical solution of the generalized airfoil equation for an airfoil with a flap', SIAM Journal on Numerical Analysis, vol. 34, pp. 2288 - 2305, http://dx.doi.org/10.1137/S0036142995295054
    Journal articles | 1997
    Emeritus Professor Ian Hugh Sloan
    Reztsov AV; Sloan IH, 1997, 'On 2D packings of cubes in the torus', Proceedings of the American Mathematical Society, vol. 125, pp. 17 - 26
    Journal articles | 1997
    Emeritus Professor Ian Hugh Sloan
    Elschner J; Jeon YJ; Sloan IH; Stephan E, 1997, 'The collocation method for mixed boundary value problems on domains with curved polygonal boundaries', Numerische Mathematik, vol. 76, pp. 355 - 381, http://dx.doi.org/10.1007/s002110050267
    Journal articles | 1997
    Emeritus Professor Ian Hugh Sloan
    Jeon YJ; Sloan IH; Stephan E; Elschner J, 1997, 'Discrete qualocation methods for logarithmic-kernel integral equations on a piecewise smooth boundary', Advances in Computational Mathematics, vol. 7, pp. 547 - 571, http://dx.doi.org/10.1023/A:1018967424040
    Journal articles | 1997
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Atkinson K, 1997, 'Semi-discrete Galerkin methods for the single layer equation on Lipschitz curves', Journal of Integral Equations and Applications, vol. 9, pp. 279 - 292, http://dx.doi.org/10.1216/jiea/1181076016
    Journal articles | 1997
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1997, 'Review of `Integral Equations: Theory and Numerical Treatment` by Wolfgang Hackbusch', SIAM Review, pp. 333 - 374
    Journal articles | 1996
    Emeritus Professor Ian Hugh Sloan
    Schatz AH; Sloan IH; Wahlbin LB, 1996, 'Superconvergence in finite element methods and meshes that are locally symmetric with respect to a point', SIAM Journal on Numerical Analysis, vol. 33, pp. 505 - 521, http://dx.doi.org/10.1137/0733027
    Journal articles | 1996
    Emeritus Professor Ian Hugh Sloan
    Lubich CH; Sloan IH; Thomee V, 1996, 'Nonsmooth data error estimates for approximations of an evolution equation with a positive type memory term', Mathematics of Computation, vol. 65, pp. 1 - 17, http://dx.doi.org/10.1090/S0025-5718-96-00677-1
    Journal articles | 1996
    Emeritus Professor Ian Hugh Sloan
    Cools R; Sloan IH, 1996, 'Minimal cubature formulae of trigonometric degree', Mathematics of Computation, vol. 65, pp. 1583 - 1600, http://dx.doi.org/10.1090/S0025-5718-96-00767-3
    Journal articles | 1996
    Emeritus Professor Ian Hugh Sloan
    Elschner J; Prossdorf S; Sloan IH, 1996, 'The qualocation method for Symm`s integral equation on a polygon', Mathematische Nachrichten, vol. 177, pp. 81 - 108, http://dx.doi.org/10.1002/mana.19961770107
    Journal articles | 1996
    Emeritus Professor Ian Hugh Sloan
    Grigorieff RD; Sloan IH, 1996, 'Spline Petrov-Galerkin methods with quadrature', Numerical Functional Analysis and Optimization, vol. 17, pp. 755 - 784, http://dx.doi.org/10.1080/01630569608816723
    Journal articles | 1996
    Emeritus Professor Ian Hugh Sloan
    Niederreiter H; Sloan IH, 1996, 'Variants of the Koksma-Hlawka inequality for vertex-modified quasi-Monte Carlo integration rules', Mathematical and Computer Modelling, vol. 23, pp. 69 - 77, http://dx.doi.org/10.1016/0895-7177(96)00040-4
    Journal articles | 1996
    Emeritus Professor Ian Hugh Sloan
    Wang S; Sloan IH; Kelly DW, 1996, 'Pointwise a posteriori upper bounds for derivatives of a Newmann problem', Comp. Techniques and Applications, pp. 771 - 778
    Journal articles | 1995
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1995, 'Polynomial interpolation and hyperinterpolation over general regions', Journal of Approximation Theory, vol. 83, pp. 238 - 254, http://dx.doi.org/10.1006/jath.1995.1119
    Journal articles | 1994
    Emeritus Professor Ian Hugh Sloan
    Niederreiter H; Ian H. S, 1994, 'Integration of nonperiodic functions of two variables by Fibonacci lattice rules', Journal of Computational and Applied Mathematics, vol. 51, pp. 57 - 70, http://dx.doi.org/10.1016/0377-0427(92)00004-S
    Journal articles | 1994
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Joe S, 1994, 'Lattice Methods for Multiple Integration', Journal of Computational and Applied Mathematics, vol. 12-13, http://dx.doi.org/10.1016/0377-0427(85)90012-3
    Journal articles | 1994
    Emeritus Professor Ian Hugh Sloan
    Mclean W; Sloan IH, 1994, 'A fully discrete and symmetric boundary element method', IMA Journal of Numerical Analysis, vol. 14, pp. 311 - 345, http://dx.doi.org/10.1093/imanum/14.3.311
    Journal articles | 1994
    Emeritus Professor Ian Hugh Sloan
    JOE S; SLOAN IH, 1994, 'IMPLEMENTATION OF A LATTICE METHOD FOR NUMERICAL MULTIPLE INTEGRATION (VOL 19, PG 523, 1993)', ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, vol. 20, pp. 245 - 245, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1994PE56100005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1
    Journal articles | 1993
    Emeritus Professor Ian Hugh Sloan
    Joe S; Sloan IH, 1993, 'Implementation of a Lattice Method for Numerical Multiple Integration', ACM Transactions on Mathematical Software (TOMS), vol. 19, pp. 523 - 545, http://dx.doi.org/10.1145/168173.168425
    Journal articles | 1993
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Tran D; Fairweather G, 1993, 'A fourth-order cubic spline method for linear second-order two-point boundary-value problems', IMA Journal of Numerical Analysis, vol. 13, pp. 591 - 607, http://dx.doi.org/10.1093/imanum/13.4.591
    Journal articles | 1993
    Emeritus Professor Ian Hugh Sloan
    Kress R; Sloan IH, 1993, 'On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation', Numerische Mathematik, vol. 66, pp. 199 - 214, http://dx.doi.org/10.1007/BF01385694
    Journal articles | 1993
    Emeritus Professor Ian Hugh Sloan
    PROSSDORF S; SARANEN J; SLOAN IH, 1993, 'A DISCRETE METHOD FOR THE LOGARITHMIC-KERNEL INTEGRAL-EQUATION ON AN OPEN ARC', JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, vol. 34, pp. 401 - 418, http://dx.doi.org/10.1017/S0334270000009000
    Journal articles | 1992
    Emeritus Professor Ian Hugh Sloan
    SLOAN IH; STEPHAN EP, 1992, 'COLLOCATION WITH CHEBYSHEV POLYNOMIALS FOR SYMM INTEGRAL-EQUATION ON AN INTERVAL', JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, vol. 34, pp. 199 - 211, http://dx.doi.org/10.1017/S0334270000008729
    Journal articles | 1992
    Emeritus Professor Ian Hugh Sloan
    JOE S; SLOAN IH, 1992, 'ON COMPUTING THE LATTICE RULE CRITERION-R', MATHEMATICS OF COMPUTATION, vol. 59, pp. 557 - 568, http://dx.doi.org/10.2307/2153074
    Journal articles | 1992
    Emeritus Professor Ian Hugh Sloan
    Prössdorf S; Sloan IH, 1992, 'Quadrature method for singular integral equations on closed curves', Numerische Mathematik, vol. 61, pp. 543 - 559, http://dx.doi.org/10.1007/BF01385525
    Journal articles | 1992
    Emeritus Professor Ian Hugh Sloan
    Disney S; Sloan IH, 1992, 'Lattice integration rules of maximal rank formed by copying rank 1 rules', SIAM Journal on Numerical Analysis, vol. 29, pp. 566 - 577, http://dx.doi.org/10.1137/0729036
    Journal articles | 1992
    Emeritus Professor Ian Hugh Sloan
    Anselone PM; Sloan IH, 1992, 'Spectral approximations for wiener-hopf operators II', Journal of Integral Equations and Applications, vol. 4, pp. 465 - 489, http://dx.doi.org/10.1216/jiea/1181075710
    Journal articles | 1992
    Emeritus Professor Ian Hugh Sloan
    Joe S; Sloan IH, 1992, 'On computing the lattice rule criterion R', Mathematics of Computation, vol. 59, pp. 557 - 568, http://dx.doi.org/10.1090/S0025-5718-1992-1134733-2
    Journal articles | 1992
    Emeritus Professor Ian Hugh Sloan
    Price JF; Sloan IH, 1992, 'Pointwise convergence of multiple Fourier series: Sufficient conditions and an application to numerical integration', Journal of Mathematical Analysis and Applications, vol. 169, pp. 140 - 156, http://dx.doi.org/10.1016/0022-247X(92)90108-P
    Journal articles | 1992
    Emeritus Professor Ian Hugh Sloan
    Chandler GA; Sloan IH, 1992, 'Spline qualocation methods for boundary integral equations', Numerische Mathematik, vol. 62, pp. 295, http://dx.doi.org/10.1007/BF01396230
    Journal articles | 1992
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1992, 'Error analysis of boundary integral methods', Acta Numerica, vol. 1, pp. 287 - 339, http://dx.doi.org/10.1017/S0962492900002294
    Journal articles | 1992
    Emeritus Professor Ian Hugh Sloan
    Saranen J; Sloan IH, 1992, 'Quadrature methods for logarithmic-kernel integral equations on closed curves', IMA Journal of Numerical Analysis, vol. 12, pp. 167 - 187, http://dx.doi.org/10.1093/imanum/12.2.167
    Journal articles | 1992
    Emeritus Professor Ian Hugh Sloan
    Joe S; Sloan IH, 1992, 'Imbedded lattice rules for multidimensional integration', SIAM Journal on Numerical Analysis, vol. 29, pp. 1119 - 1135, http://dx.doi.org/10.1137/0729068
    Journal articles | 1992
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Burn BJ, 1992, 'An unconventional quadrature method for logarithmic-kernel integral equations on closed curves', Journal of Integral Equations and Applications, vol. 4, pp. 117 - 151, http://dx.doi.org/10.1216/jiea/1181075670
    Journal articles | 1991
    Emeritus Professor Ian Hugh Sloan
    Brown G; Chandler GA; Sloan IH; Wilson DC, 1991, 'Properties of certain trigonometric series arising in numerical analysis', Journal of Mathematical Analysis and Applications, vol. 162, pp. 371 - 380, http://dx.doi.org/10.1016/0022-247X(91)90155-S
    Journal articles | 1991
    Emeritus Professor Ian Hugh Sloan
    Atkinson KE; Sloan IH, 1991, 'The numerical solution of first-kind logarithmic-kernel integral equations on smooth open arcs', Mathematics of Computation, vol. 56, pp. 119 - 139, http://dx.doi.org/10.1090/S0025-5718-1991-1052084-0
    Journal articles | 1991
    Emeritus Professor Ian Hugh Sloan
    ATKINSON KE; SLOAN IH, 1991, 'THE NUMERICAL-SOLUTION OF 1ST-KIND LOGARITHMIC-KERNEL INTEGRAL-EQUATIONS ON SMOOTH OPEN ARCS', MATHEMATICS OF COMPUTATION, vol. 56, pp. 119 - 139, http://dx.doi.org/10.2307/2008533
    Journal articles | 1991
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1991, 'Error bounds for the method of good lattice points', Mathematics of Computation, vol. 56, pp. 257 - 266, http://dx.doi.org/10.1090/S0025-5718-1991-1052090-6
    Journal articles | 1991
    Emeritus Professor Ian Hugh Sloan
    Disney S; Sloan IH, 1991, 'Error Bounds for the Method of Good Lattice Points', Mathematics of Computation, vol. 56, pp. 257 - 257, http://dx.doi.org/10.2307/2008540
    Journal articles | 1990
    Emeritus Professor Ian Hugh Sloan
    LIN Q; SLOAN IH; XIE R, 1990, 'EXTRAPOLATION OF THE ITERATD-COLLOCATION METHOD FOR INTEGRAL-EQUATIONS OF THE 2ND KIND', SIAM JOURNAL ON NUMERICAL ANALYSIS, vol. 27, pp. 1535 - 1541, http://dx.doi.org/10.1137/0727090
    Journal articles | 1990
    Emeritus Professor Ian Hugh Sloan
    Chandler GA; Sloan IH, 1990, 'Spline qualocation methods for boundary integral equations', Numerische Mathematik, vol. 58, pp. 537 - 567, http://dx.doi.org/10.1007/BF01385639
    Journal articles | 1990
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Lyness JN, 1990, 'Lattice rules: Projection regularity and unique representations', Mathematics of Computation, vol. 54, pp. 649 - 660, http://dx.doi.org/10.1090/S0025-5718-1990-1011443-1
    Journal articles | 1990
    Emeritus Professor Ian Hugh Sloan
    Anselone PM; Sloan IH, 1990, 'Spectral approximations for Wiener-Hopf operators', Journal of Integral Equations and Applications, vol. 2, pp. 237 - 261, http://dx.doi.org/10.1216/JIE-1990-2-2-237
    Journal articles | 1990
    Emeritus Professor Ian Hugh Sloan
    Niederreiter H; Sloan IH, 1990, 'Lattice rules for multiple integration and discrepancy', Mathematics of Computation, vol. 54, pp. 303 - 312, http://dx.doi.org/10.1090/S0025-5718-1990-0995212-4
    Journal articles | 1990
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Walsh L, 1990, 'A computer search of rank-2 lattice rules for multidimensional quadrature', Mathematics of Computation, vol. 54, pp. 281 - 302, http://dx.doi.org/10.1090/S0025-5718-1990-1001485-4
    Journal articles | 1990
    Emeritus Professor Ian Hugh Sloan
    SLOAN IH; WALSH L, 1990, 'A COMPUTER-SEARCH OF RANK-2 LATTICE RULES FOR MULTIDIMENSIONAL QUADRATURE', MATHEMATICS OF COMPUTATION, vol. 54, pp. 281 - 302, http://dx.doi.org/10.2307/2008695
    Journal articles | 1990
    Emeritus Professor Ian Hugh Sloan
    NIEDERREITER H; SLOAN IH, 1990, 'LATTICE RULES FOR MULTIPLE INTEGRATION AND DISCREPANCY', MATHEMATICS OF COMPUTATION, vol. 54, pp. 303 - 312, http://dx.doi.org/10.2307/2008696
    Journal articles | 1990
    Emeritus Professor Ian Hugh Sloan
    SLOAN IH; LYNESS JN, 1990, 'LATTICE RULES - PROJECTION REGULARITY AND UNIQUE REPRESENTATIONS', MATHEMATICS OF COMPUTATION, vol. 54, pp. 649 - 660, http://dx.doi.org/10.2307/2008504
    Journal articles | 1989
    Emeritus Professor Ian Hugh Sloan
    Amini S; Sloan IH, 1989, 'Collocation methods for second kind integral equations with non-compact operators', Journal of Integral Equations and Applications, vol. 2, pp. 1 - 30, http://dx.doi.org/10.1216/JIE-1989-2-1-1
    Journal articles | 1989
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Lyness JN, 1989, 'The representation of lattice quadrature rules as multiple sums', Mathematics of Computation, vol. 52, pp. 81 - 94, http://dx.doi.org/10.1090/S0025-5718-1989-0947468-3
    Journal articles | 1989
    Emeritus Professor Ian Hugh Sloan
    Lyness JN; Sloan IH, 1989, 'Some properties of rank-2 lattice rules', Mathematics of Computation, vol. 53, pp. 627 - 637, http://dx.doi.org/10.1090/S0025-5718-1989-0982369-6
    Journal articles | 1989
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Wendland WL, 1989, 'A quadrature based apporach to improving the collocation method for splines of even degree', Zeitschrift für Analysis und ihre Anwendungen, vol. 8, pp. 361 - 376
    Journal articles | 1989
    Emeritus Professor Ian Hugh Sloan
    YAN Y; SLOAN IH, 1989, 'MESH GRADING FOR INTEGRAL-EQUATIONS OF THE 1ST KIND WITH LOGARITHMIC KERNEL', SIAM JOURNAL ON NUMERICAL ANALYSIS, vol. 26, pp. 574 - 587, http://dx.doi.org/10.1137/0726034
    Journal articles | 1989
    Emeritus Professor Ian Hugh Sloan
    LYNESS JN; SLOAN IH, 1989, 'SOME PROPERTIES OF RANK-2 LATTICE RULES', MATHEMATICS OF COMPUTATION, vol. 53, pp. 627 - 637, http://dx.doi.org/10.2307/2008725
    Journal articles | 1989
    Emeritus Professor Ian Hugh Sloan
    SLOAN IH; LYNESS JN, 1989, 'THE REPRESENTATION OF LATTICE QUADRATURE-RULES AS MULTIPLE SUMS', MATHEMATICS OF COMPUTATION, vol. 52, pp. 81 - 94, http://dx.doi.org/10.2307/2008654
    Journal articles | 1988
    Emeritus Professor Ian Hugh Sloan
    Yan Y; Sloan LH, 1988, 'On integral equations of the first kind with logarithmic kernels', Journal of Integral Equations and Applications, vol. 1, pp. 549 - 579, http://dx.doi.org/10.1216/JIE-1988-1-4-549
    Journal articles | 1988
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Spence A, 1988, 'The galerkin method for integral equations of the first kind with logarithmic kernel: Theory', IMA Journal of Numerical Analysis, vol. 8, pp. 105 - 122, http://dx.doi.org/10.1093/imanum/8.1.105
    Journal articles | 1988
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Spence A, 1988, 'The galerkin method for integral equations of the first kind with logarithmic kernel: Applications', IMA Journal of Numerical Analysis, vol. 8, pp. 123 - 140, http://dx.doi.org/10.1093/imanum/8.1.123
    Journal articles | 1988
    Emeritus Professor Ian Hugh Sloan
    Anselone PM; Sloan IH, 1988, 'Numerical solutions of integral equations on the half line II. The Wiener-Hopf case', Journal of Integral Equations and Applications, vol. 1, pp. 203 - 225, http://dx.doi.org/10.1216/JIE-1988-1-2-203
    Journal articles | 1988
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1988, 'A quadrature-based approach to improving the collocation method', Numerische Mathematik, vol. 54, pp. 41 - 56, http://dx.doi.org/10.1007/BF01403890
    Journal articles | 1987
    Emeritus Professor Ian Hugh Sloan
    Kumar S; Sloan IH, 1987, 'A new collocation type method for hammerstein integral equations', Mathematics of Computation, vol. 48, pp. 585 - 593, http://dx.doi.org/10.1090/S0025-5718-1987-0878692-4
    Journal articles | 1987
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Kachoyan PJ, 1987, 'LATTICE METHODS FOR MULTIPLE INTEGRATION: THEORY, ERROR ANALYSIS AND EXAMPLES.', SIAM Journal on Numerical Analysis, vol. 24, pp. 116 - 128, http://dx.doi.org/10.1137/0724010
    Journal articles | 1987
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Osborn TR, 1987, 'Multiple integration over bounded and unbounded regions', Journal of Computational and Applied Mathematics, vol. 17, pp. 181 - 196, http://dx.doi.org/10.1016/0377-0427(87)90046-X
    Journal articles | 1987
    Emeritus Professor Ian Hugh Sloan
    DEHOOG F; SLOAN IH, 1987, 'THE FINITE-SECTION APPROXIMATION FOR INTEGRAL-EQUATIONS ON THE HALF-LINE', JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, vol. 28, pp. 415 - 434, http://dx.doi.org/10.1017/S0334270000005506
    Journal articles | 1987
    Emeritus Professor Ian Hugh Sloan
    Anselone PM; Sloan IH, 1987, 'Numerical solutions of integral equations on the half line - I. The compact case', Numerische Mathematik, vol. 51, pp. 599 - 614, http://dx.doi.org/10.1007/BF01400172
    Journal articles | 1987
    Emeritus Professor Ian Hugh Sloan
    Kumar S; Sloan IH, 1987, 'A New Collocation-Type Method for Hammerstein Integral Equations', Mathematics of Computation, vol. 48, pp. 585 - 585, http://dx.doi.org/10.1090/S0025-5718-1987-0878692-4
    Journal articles | 1986
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Spence A, 1986, 'Projection methods for integral equations on the half-line', IMA Journal of Numerical Analysis, vol. 6, pp. 153 - 172, http://dx.doi.org/10.1093/imanum/6.2.153
    Journal articles | 1986
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Spence A, 1986, 'Integral equations on the half-line: A modified finite-section approximation', Mathematics of Computation, vol. 47, pp. 589 - 595, http://dx.doi.org/10.1090/S0025-5718-1986-0856704-0
    Journal articles | 1986
    Emeritus Professor Ian Hugh Sloan
    Joe S; Sloan IH, 1986, 'On Bateman's method for second kind integral equations', Numerische Mathematik, vol. 49, pp. 499 - 510, http://dx.doi.org/10.1007/BF01389702
    Journal articles | 1986
    Emeritus Professor Ian Hugh Sloan
    SLOAN IH; THOMEE V, 1986, 'TIME DISCRETIZATION OF AN INTEGRODIFFERENTIAL EQUATION OF PARABOLIC TYPE', SIAM JOURNAL ON NUMERICAL ANALYSIS, vol. 23, pp. 1052 - 1061, http://dx.doi.org/10.1137/0723073
    Journal articles | 1986
    Emeritus Professor Ian Hugh Sloan
    SLOAN IH; SPENCE A, 1986, 'INTEGRAL-EQUATIONS ON THE HALF-LINE - A MODIFIED FINITE-SECTION APPROXIMATION', MATHEMATICS OF COMPUTATION, vol. 47, pp. 589 - 595, http://dx.doi.org/10.2307/2008174
    Journal articles | 1985
    Emeritus Professor Ian Hugh Sloan
    Graham IG; Joe S; Sloan LH, 1985, 'Iterated galerkin versus iterated collocation for integral equations of the second kind', IMA Journal of Numerical Analysis, vol. 5, pp. 355 - 369, http://dx.doi.org/10.1093/imanum/5.3.355
    Journal articles | 1985
    Emeritus Professor Ian Hugh Sloan
    Anselone PM; Sloan IH, 1985, 'INTEGRAL EQUATIONS ON THE HALF LINE.', Journal of integral equations, vol. 9, pp. 3 - 23
    Journal articles | 1985
    Emeritus Professor Ian Hugh Sloan
    SLOAN IH; THOMEE V, 1985, 'SUPERCONVERGENCE OF THE GALERKIN ITERATES FOR INTEGRAL-EQUATIONS OF THE 2ND KIND', JOURNAL OF INTEGRAL EQUATIONS, vol. 9, pp. 1 - 23, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1985ALK2600001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1
    Journal articles | 1984
    Emeritus Professor Ian Hugh Sloan
    Rabinowitz P; Sloan IH, 1984, 'PRODUCT INTEGRATION IN THE PRESENCE OF A SINGULARITY.', SIAM Journal on Numerical Analysis, vol. 21, pp. 149 - 166, http://dx.doi.org/10.1137/0721010
    Journal articles | 1984
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1984, 'Four variants of the galerkin method for integral equations of the second kind', IMA Journal of Numerical Analysis, vol. 4, pp. 9 - 17, http://dx.doi.org/10.1093/imanum/4.1.9
    Journal articles | 1983
    Emeritus Professor Ian Hugh Sloan
    ATKINSON K; GRAHAM I; SLOAN I, 1983, 'PIECEWISE CONTINUOUS COLLOCATION FOR INTEGRAL-EQUATIONS', SIAM JOURNAL ON NUMERICAL ANALYSIS, vol. 20, pp. 172 - 186, http://dx.doi.org/10.1137/0720012
    Journal articles | 1983
    Emeritus Professor Ian Hugh Sloan
    Smith WE; Sloan IH; Opie AH, 1983, 'Product integration over infinite intervals i. rules based on the zeros of hermite polynomials', Mathematics of Computation, vol. 40, pp. 519 - 535, http://dx.doi.org/10.1090/S0025-5718-1983-0689468-1
    Journal articles | 1983
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1983, 'Nonpolynomial interpolation', Journal of Approximation Theory, vol. 39, pp. 97 - 117, http://dx.doi.org/10.1016/0021-9045(83)90085-0
    Journal articles | 1983
    Emeritus Professor Ian Hugh Sloan
    Smith WE; Sloan IH; Opie AH, 1983, 'Product Integration Over Infinite Intervals I. Rules Based on the Zeros of Hermite Polynomials', Mathematics of Computation, vol. 40, pp. 519 - 519, http://dx.doi.org/10.2307/2007528
    Journal articles | 1982
    Emeritus Professor Ian Hugh Sloan
    SLOAN IH; SMITH WE, 1982, 'PROPERTIES OF INTERPOLATORY PRODUCT INTEGRATION RULES', SIAM JOURNAL ON NUMERICAL ANALYSIS, vol. 19, pp. 427 - 442, http://dx.doi.org/10.1137/0719027
    Journal articles | 1981
    Emeritus Professor Ian Hugh Sloan
    SLOAN IH, 1981, 'QUADRATURE METHODS FOR INTEGRAL-EQUATIONS OF THE 2ND KIND OVER INFINITE INTERVALS', MATHEMATICS OF COMPUTATION, vol. 36, pp. 511 - 523, http://dx.doi.org/10.2307/2007656
    Journal articles | 1981
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1981, 'Quadrature methods for integral equations of the second kind over infinite intervals', Mathematics of Computation, vol. 36, pp. 511 - 523, http://dx.doi.org/10.1090/S0025-5718-1981-0606510-2
    Journal articles | 1981
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1981, 'Analysis of general quadrature methods for integral equations of the second kind', Numerische Mathematik, vol. 38, pp. 263 - 278, http://dx.doi.org/10.1007/BF01397095
    Journal articles | 1981
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1981, 'Mathematical and computational methods', Nuclear Physics, Section A, vol. 353, pp. 365 - 374, http://dx.doi.org/10.1016/0375-9474(81)90722-3
    Journal articles | 1981
    Emeritus Professor Ian Hugh Sloan
    Chandler C; Sloan IH, 1981, 'Addendum: Spurious solutions to N-particle scattering equations', Nuclear Physics, Section A, vol. 361, pp. 521 - 522, http://dx.doi.org/10.1016/0375-9474(81)90650-3
    Journal articles | 1981
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1981, 'Comment on "failure of the connected-kernel method"', Physical Review C, vol. 23, pp. 1289 - 1292, http://dx.doi.org/10.1103/PhysRevC.23.1289
    Journal articles | 1980
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Smith WE, 1980, 'Product integration with the Clenshaw-Curtis points: Implementation and error estimates', Numerische Mathematik, vol. 34, pp. 387 - 401, http://dx.doi.org/10.1007/BF01403676
    Journal articles | 1980
    Emeritus Professor Ian Hugh Sloan
    SMITH WE; SLOAN IH, 1980, 'PRODUCT-INTEGRATION RULES BASED ON THE ZEROS OF JACOBI-POLYNOMIALS', SIAM JOURNAL ON NUMERICAL ANALYSIS, vol. 17, pp. 1 - 13, http://dx.doi.org/10.1137/0717001
    Journal articles | 1980
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1980, 'The numerical solution of Fredholm equations of the second kind by polynomial interpolation', Journal of Integral Equations, vol. 2, pp. 265 - 279
    Journal articles | 1979
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1979, 'On choosing the points in product integration', Journal of Mathematical Physics, vol. 21, pp. 1032 - 1039, http://dx.doi.org/10.1063/1.524552
    Journal articles | 1979
    Emeritus Professor Ian Hugh Sloan
    Graham IG; Sloan IH, 1979, 'On the compactness of certain integral operators', Journal of Mathematical Analysis and Applications, vol. 68, pp. 580 - 594, http://dx.doi.org/10.1016/0022-247X(79)90138-0
    Journal articles | 1979
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Noussair E; Burn BJ, 1979, 'Projection methods for equations of the second kind', Journal of Mathematical Analysis and Applications, vol. 69, pp. 84 - 103, http://dx.doi.org/10.1016/0022-247X(79)90179-3
    Journal articles | 1979
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Burn BJ, 1979, 'Collocation wth polynomials for integral equations of the second kind', Journal of Integral Equations, vol. 1, pp. 77 - 94
    Journal articles | 1978
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Smith WE, 1978, 'Product-integration with the Clenshaw-Curtis and related points - Convergence properties', Numerische Mathematik, vol. 30, pp. 415 - 428, http://dx.doi.org/10.1007/BF01398509
    Journal articles | 1978
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1978, 'On the numerical evaluation of singular integrals', BIT, vol. 18, pp. 91 - 102, http://dx.doi.org/10.1007/BF01947747
    Journal articles | 1978
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1978, 'Comment on 'The collocation variational method for solving Fredholm integral equations...'', Journal of Physics A: Mathematical and General, vol. 11, pp. 1195 - 1197, http://dx.doi.org/10.1088/0305-4470/11/6/020
    Journal articles | 1976
    Emeritus Professor Ian Hugh Sloan
    SLOAN IH, 1976, 'IMPROVEMENT BY ITERATION FOR COMPACT OPERATOR EQUATIONS', MATHEMATICS OF COMPUTATION, vol. 30, pp. 758 - 764, http://dx.doi.org/10.2307/2005396
    Journal articles | 1976
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1976, 'Convergence of degenerate-kernel methods', The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, vol. 19, pp. 422 - 431, http://dx.doi.org/10.1017/s0334270000001296
    Journal articles | 1976
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1976, 'Improvement by iteration for compact operator equations', Mathematics of Computation, vol. 30, pp. 758 - 764, http://dx.doi.org/10.1090/S0025-5718-1976-0474802-4
    Journal articles | 1976
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1976, 'ITERATED GALERKIN METHOD FOR EIGENVALUE PROBLEMS.', SIAM Journal on Numerical Analysis, vol. 13, pp. 753 - 760, http://dx.doi.org/10.1137/0713061
    Journal articles | 1975
    Emeritus Professor Ian Hugh Sloan
    Adhikari SK; Sloan IH, 1975, 'Separable operator expansions for the t-matrix', Nuclear Physics, Section A, vol. 241, pp. 429 - 442, http://dx.doi.org/10.1016/0375-9474(75)90396-6
    Journal articles | 1975
    Emeritus Professor Ian Hugh Sloan
    Adhikari SK; Sloan IH, 1975, 'Separable expansion of the t-matrix in the 3S1-3D1 channel', Nuclear Physics, Section A, vol. 251, pp. 297 - 304, http://dx.doi.org/10.1016/0375-9474(75)90072-X
    Journal articles | 1975
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1975, 'Error analysis for a class of degenerate-kernel methods', Numerische Mathematik, vol. 25, pp. 231 - 238, http://dx.doi.org/10.1007/BF01399412
    Journal articles | 1975
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Burn BJ; Datyner N, 1975, 'A new approach to the numerical solution of integral equations', Journal of Computational Physics, vol. 18, pp. 92 - 105, http://dx.doi.org/10.1016/0021-9991(75)90104-7
    Journal articles | 1975
    Emeritus Professor Ian Hugh Sloan
    Adhikari SK; Sloan IH, 1975, 'Method for three-body equations', Physical Review C, vol. 12, pp. 1152 - 1157, http://dx.doi.org/10.1103/PhysRevC.12.1152
    Journal articles | 1975
    Emeritus Professor Ian Hugh Sloan
    Adhikari SK; Sloan IH, 1975, 'Separable expansion of the t matrix with analytic form factors', Physical Review C, vol. 11, pp. 1133 - 1140, http://dx.doi.org/10.1103/PhysRevC.11.1133
    Journal articles | 1974
    Emeritus Professor Ian Hugh Sloan
    Brady TJ; Sloan IH, 1974, 'Variational method for off-shell three- body amplitudes', Physical Review C, vol. 9, pp. 4 - 15, http://dx.doi.org/10.1103/PhysRevC.9.4
    Journal articles | 1974
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Adhikari SK, 1974, 'Method for Lippmann-Schwinger equations', Nuclear Physics, Section A, vol. 235, pp. 352 - 360, http://dx.doi.org/10.1016/0375-9474(74)90197-3
    Journal articles | 1973
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1973, 'Sturmian expansion of the coulomb t matrix', Physical Review A, vol. 7, pp. 1016 - 1023, http://dx.doi.org/10.1103/PhysRevA.7.1016
    Journal articles | 1973
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Gray JD, 1973, 'Separable expansions of thet-matrix', Physics Letters B, vol. 44, pp. 354 - 356, http://dx.doi.org/10.1016/0370-2693(73)90405-X
    Journal articles | 1973
    Emeritus Professor Ian Hugh Sloan
    Journal articles | 1972
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1972, 'A three-nucleon scattering calculation using perturbation theory', Nuclear Physics, Section A, vol. 188, pp. 193 - 204, http://dx.doi.org/10.1016/0375-9474(72)90194-7
    Journal articles | 1972
    Emeritus Professor Ian Hugh Sloan
    Doleschall P; Aarons JC; Sloan IH, 1972, 'Exact calculations of N-d polarization', Physics Letters B, vol. 40, pp. 605 - 606, http://dx.doi.org/10.1016/0370-2693(72)90606-5
    Journal articles | 1972
    Emeritus Professor Ian Hugh Sloan
    Brady TJ; Sloan IH, 1972, 'Padé approximants and nucleon-deuteron scattering', Physics Letters B, vol. 40, pp. 55 - 57, http://dx.doi.org/10.1016/0370-2693(72)90280-8
    Journal articles | 1972
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Aarons JC, 1972, 'Vector and tensor polarizations in nucleon-deuteron scattering (II)', Nuclear Physics, Section A, vol. 198, pp. 321 - 342, http://dx.doi.org/10.1016/0375-9474(72)90692-6
    Journal articles | 1972
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Brady TJ, 1972, 'Variational approach to the on- and off-shell T matrix', Physical Review C, vol. 6, pp. 701 - 709, http://dx.doi.org/10.1103/PhysRevC.6.701
    Journal articles | 1972
    Emeritus Professor Ian Hugh Sloan
    Aarons JC; Sloan IH, 1972, 'Vector and tensor polarizations in nucleon-deuteron scattering', Nuclear Physics, Section A, vol. 182, pp. 369 - 384, http://dx.doi.org/10.1016/0375-9474(72)90284-9
    Journal articles | 1972
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1972, 'Equations for Four-Particle Scattering', Physical Review C, vol. 6, pp. 1945 - 1955, http://dx.doi.org/10.1103/PhysRevC.6.1945
    Journal articles | 1972
    Emeritus Professor Ian Hugh Sloan
    Aarons JC; Sloan IH, 1972, 'Krauss-kowalski calculations of nucleon-deuteron polarization', Physical Review C - Nuclear Physics, vol. 5, pp. 582 - 585, http://dx.doi.org/10.1103/PhysRevC.5.582
    Journal articles | 1972
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1972, 'Separable expansions and perturbation theory for three-body collisions', Nuclear Physics, Section A, vol. 182, pp. 549 - 557, http://dx.doi.org/10.1016/0375-9474(72)90534-9
    Journal articles | 1972
    Emeritus Professor Ian Hugh Sloan
    Cahill RT; Sloan IH, 1972, 'The n-d initial-state interaction in n-d break-up', Nuclear Physics, Section A, vol. 194, pp. 589 - 598, http://dx.doi.org/10.1016/0375-9474(72)91005-6
    Journal articles | 1972
    Emeritus Professor Ian Hugh Sloan
    SLOAN IH; BRADY TJ, 1972, 'VARIATIONAL CALCULATIONS OF OFF-SHELL T-MATRIX', BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, vol. 17, pp. 608 - &, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1972M058801069&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1
    Journal articles | 1971
    Emeritus Professor Ian Hugh Sloan
    Cahill RT; Sloan IH, 1971, 'Theory of neutron-deuteron break-up at 14.4 MeV', Nuclear Physics, Section A, vol. 165, pp. 161 - 179, http://dx.doi.org/10.1016/0375-9474(71)90156-4
    Journal articles | 1971
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1971, 'Phase parameters for nucleon-deuteron scattering', Nuclear Physics, Section A, vol. 168, pp. 211 - 224, http://dx.doi.org/10.1016/0375-9474(71)90659-2
    Journal articles | 1971
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1971, 'Levinson's theorem and S-wave neutron-deuteron scattering', Physics Letters B, vol. 34, pp. 243 - 244, http://dx.doi.org/10.1016/0370-2693(71)90592-2
    Journal articles | 1971
    Emeritus Professor Ian Hugh Sloan
    Journal articles | 1970
    Emeritus Professor Ian Hugh Sloan
    Cahill RT; Sloan IH, 1970, 'Neutron-deuteron scattering with soft-core', Physics Letters B, vol. 31, pp. 353 - 354, http://dx.doi.org/10.1016/0370-2693(70)90192-9
    Journal articles | 1970
    Emeritus Professor Ian Hugh Sloan
    Cahill RT; Sloan IH, 1970, 'Neutron-deuteron breakup models', Physics Letters B, vol. 33, pp. 195 - 196, http://dx.doi.org/10.1016/0370-2693(70)90569-1
    Journal articles | 1969
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1969, 'Multiple-scattering analysis on a soluble neutron-deuteron model', Physical Review, vol. 185, pp. 1361 - 1370, http://dx.doi.org/10.1103/PhysRev.185.1361
    Journal articles | 1969
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1969, 'Tensor force in the separable potential model of neutron-deuteron collisions', Nuclear Physics, Section A, vol. 139, pp. 337 - 352, http://dx.doi.org/10.1016/0375-9474(69)91114-2
    Journal articles | 1968
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1968, 'The numerical evaluation of principal-value integrals', Journal of Computational Physics, vol. 3, pp. 332 - 333, http://dx.doi.org/10.1016/0021-9991(68)90028-4
    Journal articles | 1968
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1968, 'Note errors in the numerov and Runge-Kutta methods', Journal of Computational Physics, vol. 2, pp. 414 - 416, http://dx.doi.org/10.1016/0021-9991(68)90047-8
    Journal articles | 1968
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1968, 'Method for the numerical solution of linear second-order differential equations', Journal of Computational Physics, vol. 3, pp. 40 - 45, http://dx.doi.org/10.1016/0021-9991(68)90004-1
    Journal articles | 1968
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Moore EJ, 1968, 'Integral equation approach to electron-hydrogen collisions', Journal of Physics B: Atomic and Molecular Physics, vol. 1, pp. 414 - 422, http://dx.doi.org/10.1088/0022-3700/1/3/311
    Journal articles | 1968
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1968, 'Approximation Method for Three-Body Collisions', Physical Review, vol. 165, pp. 1587 - 1594, http://dx.doi.org/10.1103/PhysRev.165.1587
    Journal articles | 1967
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1967, 'Unitary modification of the impulse-pickup approximation', Physics Letters B, vol. 25, pp. 84 - 85, http://dx.doi.org/10.1016/0370-2693(67)90184-0
    Journal articles | 1967
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1967, 'Unitary modifications of the impulse approximation', Physical Review, vol. 162, pp. 855 - 858, http://dx.doi.org/10.1103/PhysRev.162.855
    Journal articles | 1965
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1965, 'The ionization of neutral helium by electron impact', Proceedings of the Physical Society, vol. 85, pp. 435 - 442, http://dx.doi.org/10.1088/0370-1328/85/3/304
    Journal articles | 1964
    Emeritus Professor Ian Hugh Sloan
    SLOAN IH, 1964, 'METHOD OF POLARIZED ORBITALS FOR ELASTIC SCATTERING OF SLOW ELECTRONS BY IONIZED HELIUM + ATOMIC HYDROGEN', PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, vol. 281, pp. 151 - +, http://dx.doi.org/10.1098/rspa.1964.0175
    Journal articles |
    Emeritus Professor Ian Hugh Sloan
    Gilbert AD; Kuo FY; Sloan IH, 'Equivalence between Sobolev spaces of first-order dominating mixed smoothness and unanchored ANOVA spaces on $\mathbb{R}^d$', , http://arxiv.org/abs/2103.16075v1
    Journal articles |
    Emeritus Professor Ian Hugh Sloan
    Kaarnioja V; Kazashi Y; Kuo FY; Nobile F; Sloan IH, 'Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification', , http://arxiv.org/abs/2007.06367v2
  • Conference Papers | 2019
    Emeritus Professor Ian Hugh Sloan
    Kazashi Y; Kuo FY; Sloan IH, 2019, 'Derandomised lattice rules for high dimensional integration', in CTAC 2018 Computational Techniques and Applications Conference, Australian Mathematical Society, Newcastle, Australia, pp. C247 - C260, presented at CTAC 2018 Computational Techniques and Applications Conference, Newcastle, Australia, 27 November 2019 - 30 November 2019, http://dx.doi.org/10.21914/anziamj.v60i0.14110
    Conference Papers | 2016
    Emeritus Professor Ian Hugh Sloan
    Giles MB; Kuo FY; Sloan IH, 2016, 'Combining sparse grids, multilevel MC and QMC for elliptic PDEs with random coefficients', in Springer Proceedings in Mathematics and Statistics, Stanford, USA, pp. 265 - 281, presented at Monte Carlo and Quasi-Monte Carlo Methods 2016, Stanford, USA, 14 August 2016 - 19 August 2016, http://dx.doi.org/10.1007/978-3-319-91436-7_14
    Conference Papers | 2015
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 2015, 'What's new in high-dimensional integration? - Designing Quasi Monte Carlo for applications', in Guo L; Ma Z-M (ed.), Proceedings of the 8th International Congress on Industrial and Applied Mathematics, Higher Education Press, Beijing, China, pp. 365 - 386, presented at 8th International Congress on Industrial and Applied Mathematics, Beijing, China, 10 August 2015 - 14 August 2015
    Conference Proceedings (Editor of) | 2013
    Emeritus Professor Ian Hugh Sloan
    2013, 'Monte Carlo and Quasi-Monte Carlo Methods 2012', Springer Science & Business Media, Vol. 65, http://dx.doi.org/10.1007/978-3-642-41095-6
    Conference Papers | 2013
    Emeritus Professor Ian Hugh Sloan
    Dick J; Kuo FY; Peters GW; Sloan IH, 2013, 'Preface', in Springer Proceedings in Mathematics and Statistics
    Conference Papers | 2005
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Hesse K, 2005, 'Optimal order integration on the sphere', in Li T; Zhang P (ed.), Contemporary Applied Mathematics, World Scientific, Beijing, pp. 59 - 70, presented at Contemporary Applied mathematics, Beijing, -
    Conference Papers | 2004
    Emeritus Professor Ian Hugh Sloan
    Kuo FY; Sloan IH; Wozniakowski H, 2004, 'Lattice rules for multivariate approximation in the worst case setting', in Monte Carlo and Quasi-Monte Carlo Methods 2004, France, pp. 475 - 493, presented at Monte Carlo and Quasi-Monte Carlo Methods 2004, France, 07 June 2004 - 10 June 2004, http://dx.doi.org/10.1007/s00365-009-9075-x
    Conference Papers | 2004
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 2004, 'Applied Mathematics Entering the 21st Century: Invited Talks from the ICIAM 2003 Congress: Preface', in Applied Mathematics Entering the 21st Century: Invited Talks from the ICIAM 2003 Congress
    Conference Papers | 2002
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 2002, 'QMC integration - Beating intractability by weighting the coordinate directions', in Fang KT; Hickernell FJ; Niederreiter H (eds.), Monte Carlo and Quasi-Monte Carlo Methods 2000, SPRINGER-VERLAG BERLIN, Hong Kong, pp. 103 - 123, presented at Monte Carlo and Quasi-Monte Carlo Methods 2000, Hong Kong, 27 November 2002 - 01 December 2002, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000175526000007&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a
    Conference Papers | 2002
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Wozniakowski H, 2002, 'When does Monte Carlo Depend Polynomially on the Number of Variables?', in Niederreiter H (ed.), 5th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing (MCQMC 2002), SPRINGER-VERLAG BERLIN, National University of Singapore, pp. 407 - 437, presented at 5th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing (MCQMC 2002), National University of Singapore, 25 November 2002 - 28 November 2002, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000189463200026&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a
    Conference Papers | 2002
    Emeritus Professor Ian Hugh Sloan
    Hickernell FJ; Sloan IH; Wasilkowski GW, 2002, 'The strong tractability of multivariate integration using lattice rules', in Niederreiter H (ed.), 5th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing (MCQMC 2002), SPRINGER-VERLAG BERLIN, National University of Singapore, pp. 259 - 273, presented at 5th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing (MCQMC 2002), National University of Singapore, 25 November 2002 - 28 November 2002, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000189463200015&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a
    Conference Papers | 2002
    Emeritus Professor Ian Hugh Sloan
    Hickernell FJ; Sloan IH; Wasilkowski GW, 2002, 'On tractability of weighted integration for certain Banach spaces of functions', in Niederreiter H (ed.), 5th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing (MCQMC 2002), SPRINGER-VERLAG BERLIN, National University of Singapore, pp. 51 - 71, presented at 5th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing (MCQMC 2002), National University of Singapore, 25 November 2002 - 28 November 2002, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000189463200003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a
    Conference Papers | 2002
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Womersley RS, 2002, 'The uniform error of hyperinterpolation on the sphere', in Haussmann W; Jetter K; Reimer M (eds.), 3rd International conference on multivariate approximation theory, WILEY-V C H VERLAG GMBH, Witten-Bommerholz, Germany, pp. 289 - 306, presented at 5th International Conference on Multivariate Approximation, Witten-Bommerholz, Germany, 22 September 2002 - 27 September 2002, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000169367700020&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a
    Conference Papers | 1999
    Emeritus Professor Ian Hugh Sloan
    Cao HT; Kelly DW; Sloan IH, 1999, 'Pointwise error estimates for stress in two dimensional elasticity', in ACAM 99 2nd Australasian congress on applied mechanics, ACAM 99 2nd Australasian congress on applied mechanics, ADFA, Canberra, presented at ACAM 99 2nd Australasian congress on applied mechanics, ADFA, Canberra, 10 February 1999 - 12 February 1999
    Conference Papers | 1999
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Womersley RS, 1999, 'The search for good polynomial interpolation points on the sphere', in Griffiths DF; Watson GA (ed.), 18th Dundee Biennial Conference on Numerical Analysis, CHAPMAN & HALL/CRC PRESS, University of Dundee, pp. 211 - 229, presented at 18th Dundee Biennial Conference on Numerical Analysis, University of Dundee, 29 June 1999 - 02 July 1999, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000086825900011&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a
    Conference Papers | 1998
    Emeritus Professor Ian Hugh Sloan
    Mauersberger D; Sloan IH, 1998, 'A simplified approach to the semi-discrete Galerkin method for the single-layer equation for a plate', in Bonnet M; Sandig AM; Wendland WL (eds.), MATHEMATICAL ASPECTS OF BOUNDARY ELEMENT METHODS, CHAPMAN & HALL/CRC PRESS, ECOLE POLYTECH, PALAISEAU, FRANCE, pp. 178 - 190, presented at Minisymposium on Mathematical Aspects of Boundary Element Methods, ECOLE POLYTECH, PALAISEAU, FRANCE, 25 May 1998 - 29 May 1998, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000084220000015&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1
    Conference Papers | 1997
    Emeritus Professor Ian Hugh Sloan
    Cao HT; Kelly DW; Sloan IH, 1997, 'Post-processing for pointwise local error bounds for derivatives in finite element solutions', in Design, Simulation and Optimisation Reliability and Applicability of Computational Methods, Design, Simulation and Optimisation Reliability and Applicability of Computational Methods, Universitat of Stuttgart, Germany, presented at Design, Simulation and Optimisation Reliability and Applicability of Computational Methods, Universitat of Stuttgart, Germany, 09 April 1997 - 11 April 1997
    Conference Papers | 1997
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Wozniakowski H, 1997, 'Multiple integrals in many dimensions', in Chen Z; Li Y; Micchelli CA; Xu Y (eds.), Guangzhou international sysmposium, MARCEL DEKKER, Zhongshan University, Guangzhou China, pp. 507 - 516, presented at Guangzhou international sysmposium, Zhongshan University, Guangzhou China, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000075974400032&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a
    Conference Papers | 1997
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1997, 'Interpolation and hyperinterpolation on the sphere', in 2nd Intern. Conference on Multivariate Approx. Haus Bommerholz 1996, 2nd Intern. Conference on Multivariate Approx. Haus Bommerholz 1996, presented at 2nd Intern. Conference on Multivariate Approx. Haus Bommerholz 1996
    Conference Papers | 1995
    Emeritus Professor Ian Hugh Sloan
    Wang S; Sloan IH; Kelly DW, 1995, 'Pointwise a posteriori upper error bounds for derivatives of a Neumann problem', in Computational Techniques and Applications: Proceedings, Computational Techniques and Applications: CTAC 1995, Singapore, presented at Computational Techniques and Applications: CTAC 1995, Singapore, 11 July 1995 - 14 July 1995
    Conference Papers | 1995
    Emeritus Professor Ian Hugh Sloan
    Grigorieff RD; Sloan IH, 1995, 'High-order spline Petrov-Galerkin methods with quadrature', in ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, AKADEMIE VERLAG GMBH, HAMBURG, GERMANY, pp. 15 - 18, presented at 3rd International Congress on Industrial and Applied Mathematics (ICIAM 95), HAMBURG, GERMANY, 03 July 1995 - 07 July 1995, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1996VG25400005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1
    Conference Papers | 1995
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1995, 'Lattice rules of moderate order', in Fang K-T; Hickernell FJ (ed.), Proceedings Workshop on Quasi-Monte Carlo Methods and their Applications, Statistics Research and Consultancy Unit, Hong Kong Baptist University, Hong Kong Baptist University, presented at Workshop on Quasi-Monte Carlo Methods and their Applications, Hong Kong Baptist University, -
    Conference Papers | 1992
    Emeritus Professor Ian Hugh Sloan
    NIEDERREITER H; SLOAN IH, 1992, 'QUASI-MONTE-CARLO METHODS WITH MODIFIED VERTEX WEIGHTS', in Brass H; Hammerlin G (ed.), NUMERICAL INTEGRATION IV, BIRKHAUSER VERLAG, MATH RES INST, OBERWOLFACH, GERMANY, pp. 253 - 265, presented at 4th Symposium on Numerical Integration, MATH RES INST, OBERWOLFACH, GERMANY, 08 November 1992 - 14 November 1992, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1993BA17Z00020&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1
    Conference Papers | 1991
    Emeritus Professor Ian Hugh Sloan
    SLOAN IH, 1991, 'NUMERICAL-INTEGRATION IN HIGH DIMENSIONS - THE LATTICE RULE APPROACH', in ESPELID TO; GENZ A (ed.), NUMERICAL INTEGRATION, KLUWER ACADEMIC PUBL, BERGEN, NORWAY, pp. 55 - 69, presented at NATO ADVANCED RESEARCH WORKSHOP ON NUMERICAL INTEGRATION : RECENT DEVELOPMENTS, SOFTWARE AND APPLICATIONS, BERGEN, NORWAY, 17 June 1991 - 21 June 1991, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1992BV16V00005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1
    Conference Papers | 1991
    Emeritus Professor Ian Hugh Sloan
    SLOAN IH, 1991, 'UNCONVENTIONAL METHODS FOR BOUNDARY INTEGRAL-EQUATIONS IN THE PLANE', in Griffiths DF; Watson GA (ed.), NUMERICAL ANALYSIS 1991, LONGMAN SCIENTIFIC & TECHNICAL, UNIV DUNDEE, DUNDEE, SCOTLAND, pp. 194 - 218, presented at 14TH BIENNIAL DUNDEE CONF ON NUMERICAL ANALYSIS, UNIV DUNDEE, DUNDEE, SCOTLAND, 25 June 1991 - 28 June 1991, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1992BY14D00012&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1
    Conference Papers | 1984
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1984, 'FAST CONVERGENCE OF THE ITERATED GALERKIN METHOD FOR INTEGRAL EQUATIONS.', in FAST CONVERGENCE OF THE ITERATED GALERKIN METHOD FOR INTEGRAL EQUATIONS., pp. 352 - 358
    Conference Papers | 1984
    Emeritus Professor Ian Hugh Sloan
    Sloan IH; Kachoyan PJ, 1984, 'Lattices for Multiple Integration', in Gustafson S-A; Womersley RS (ed.), Lattices for Multiple Integration, Centre for Mathematical Analysis, Australian National University, Canberra, pp. 147 - 165, presented at Mathematical Programming and NumerAustraliical Analysis Workshop, Canberra, -
    Conference Papers | 1984
    Emeritus Professor Ian Hugh Sloan
    Sloan IH, 1984, 'The iterated Galerkin method for integral equations of the second kind', in Jefferies B; McIntosh A (ed.), Miniconference on Partial Differential Eqautions, Centre for Mathematical Analysis, Australian National University, Canberra, presented at Miniconference on Partial Differential Equations, Canberra, -
    Working Papers |
    Emeritus Professor Ian Hugh Sloan
    Gia QTL; Sloan IH; Womersley RS; Wang YG, Sparse Isotropic Regularization for Spherical Harmonic Representations of Random Fields on the Sphere, http://dx.doi.org, http://arxiv.org/abs/1801.03212v1
    Working Papers |
    Emeritus Professor Ian Hugh Sloan
    Kazashi Y; Kuo FY; Sloan IH, Derandomised lattice rules for high dimensional integration, http://dx.doi.org, http://arxiv.org/abs/1903.05145v1
    Working Papers |
    Emeritus Professor Ian Hugh Sloan
    Cools R; Kuo FY; Nuyens D; Sloan IH, Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters, http://dx.doi.org, http://arxiv.org/abs/1910.06604v1
    Working Papers |
    Emeritus Professor Ian Hugh Sloan
    Cools R; Kuo FY; Nuyens D; Sloan IH, Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights, http://dx.doi.org, http://arxiv.org/abs/1910.06606v1
    Working Papers |
    Emeritus Professor Ian Hugh Sloan
    Hamann J; Gia QTL; Sloan IH; Wang YG; Womersley RS, A New Probe of Gaussianity and Isotropy applied to the CMB Maps, http://dx.doi.org, http://arxiv.org/abs/1911.11442v2
    Working Papers |
    Emeritus Professor Ian Hugh Sloan
    Brown B; Griebel M; Kuo FY; Sloan IH, On the expected uniform error of geometric Brownian motion approximated by the Lévy-Ciesielski construction, http://dx.doi.org, http://arxiv.org/abs/1706.00915v1
    Working Papers |
    Emeritus Professor Ian Hugh Sloan
    Kuo FY; Schwab C; Sloan IH, Multi-level quasi-Monte Carlo finite element methods for a class of elliptic partial differential equations with random coefficients, http://dx.doi.org, http://arxiv.org/abs/1208.6349v2

Awards

Grants

"Innovations in spherical approximation - construction analysis and applications. (I H Sloan, E. Saff (Vanderbilt) and H. Wendland (Oxford)).

"Very high dimensional computation - the new frontier in numerical analysis" (I H Sloan,  F Y  Kuo,  M. Griebel (Bonn), and H. Wozniakowski (Warsaw and Columbia)).

2018 - 2020 :Uncertainty on spheres and shells: mathematics and methods for applications". (Q T Le Gia, I H Sloan and Brzezniak) DP180100506

2018 - 2020 "Towards a science of high-dimensional computation" {F Y Kuo and I H Sloan) DP180101356

2021 - 2023  "High dimensional computation and uncertainty" (F Y Kuo and I H Sloan) DP210100831

 

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