I am a research staff at the Department of Mathematics and Education at the Jülich Supercomputing Centre in Germany . I enjoy understanding and developing numerical methods/algorithms for complex multi-physics problems. My research in general focuses on developing, analyzing and high performance implementation of fast and accurate numerical solution techniques for complex physical applications in fluid dynamics, magnetohydrodynamics, atmospheric modeling, subsurface flows etc. In the recent years I have been doing research mostly in advanced numerical techniques for plasma physics. I am always open for collaborations and if you have some interesting idea to discuss please drop an email.

Research Interests

• High Performance Scientific Computing

• Numerical Analysis

• High-order numerical methods

  • Spatial discretization : Finite Element Methods, Discontinuous Galerkin (DG), Hybridized DG (HDG), compact Finite Difference

  • Time integration : Explicit, Implicit, Implicit-Explicit (IMEX)

• Preconditioners and Fast scalable solvers

  • Multigrid and Multilevel solvers

  • Domain decomposition solvers

  • Block preconditioners for multi-physics problems

  • Newton, Picard and IMEX nonlinear solvers

• Particle-in-cell schemes and noise reduction strategies

• Sparse grids

• Deterministic and Bayesian inversion, optimization algorithms

• Uncertainty quantification

• Machine learning

• Physical applications

  • Fluid dynamics, Plasma physics, Electromagnetics and Magnetohydrodynamics