Numerical P. D. E. and Computational Mathematics: Numerical Analysis; Computational Mathematics; Numerical Approximation of Solutions of P. D. E.
Numerical Analysis, Partial Differential Equations, Fluid Dynamics, Scientific Computing, Applied and Industrial Mathematics, Interdisciplinary Research.
Numerical approximation of solutions of partial differential equations (using the finite element, boundary element, finite volume, and multigrid methods).
- My primary interests are numerical and computational mathematics: Numerical P.D.E., Numerical Analysis, Computational Science, and Modeling and Simulation of Complex Coupled Problems.
- I am particularly interested in complex coupled phenomena, that is, mathematical models of physical systems (or physically motivated problems) which are governed by partial differential equations and which involve multiple components, complex physics or multi-physics, as well as complex, or coupled domains, or multiple scales (multi-scales).
- Complex coupled phenomenon also often exhibit nonlinearities and strong interactions between the governing equations
