My research is situated in the broad field of computational mathematics. My current work focuses primarily on numerical methods for deterministic and stochastic partial differential equations.
I have worked with integral equations, partial differential equations (both deterministic and stochastic). Apart from designing numerical methods and proving convergence, I have also designed techniques to accelerate the solution process, the so-called preconditioning techniques. Estimation of errors and adaptivity are other aspects of my research interests.
Numerical methods for the Maxwell-Landau-Lifshitz-Gilbert equations.
Numerical methods for the stochastic Maxwell-Landau-Lifshitz-Gilbert equations.
Shape calculus for solving exterior boundary value problems.
If you are interested in any of the above topics, please write to me.
The Computational Mathematics Group at UNSW is a vibrant group with extensive international collaborations and connections. If you are an enthusiastic student with strong mathematical talents and minimum skills in mathematical computing, you will find this group an attractive team to be with for a few years of your life.
MATH3361/5361 (Stochastic Differential Equations: Theory, Applications, and Numerical Methods) - Term 1, 2020
MATH1251 (Mathematics for Actuarial Studies and Finance 1B - Calculus) - Term 2, 2020
External Assessor, Universiti Putra Malaysia