Convergence of a subsequence of approximate solutions arising from a full discretization is shown for a general class of quasi-linear parabolic problems. The numerical method combines the backward ...

This is a preview. Log in through your library . Abstract We propose and analyze a second order pure Lagrangian method for variable coefficient convection (possibly degenerate) diffusion equations ...

This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...

In this research field we are developing advanced computational methods centered around efficient solution strategies for partial differential equations. In numerical analysis, we focus on developing ...

General aspects of polynomial interpolation theory. Formulations in different basis, e.g. Lagrange, Newton etc. and their approximation and computational properties ...