A number of finite element discretization techniques based on two (or more) subspaces for nonlinear elliptic partial differential equations (PDEs) is presented. Convergence estimates are derived to ...

For many applications in science and engineering, the ability to efficiently and accurately approximate solutions to elliptic PDEs dictates what physical phenomena can be simulated numerically. In ...

Discretization algorithms serve as a critical pre-processing step within data mining and machine learning, transforming continuous attributes into discrete categories to enhance the interpretability ...

The IMEX schemes apply the implicit temporal method to only a small portion of the domain and use explicit calculations elsewhere, based on a convenient splitting algorithm. IMEX methods effectively ...

My background is in Mathematics with focus on some geometrical and computational aspects. My interests lie within all sorts of numerical methods and discretization techniques for Scientific Computing.