We consider implicit-explicit (IMEX) Runge--Kutta (RK) schemes for hyperbolic systems with
stiff relaxation in the so-called diffusion limit. In such a regime the system relaxes towards a …

We propose a second order finite volume scheme for nonlinear degenerate parabolic
equations which admit an entropy functional. For some of these models (porous media …

This paper presents a class of semi-implicit finite difference weighted essentially non-
oscillatory (WENO) schemes for solving the nonlinear heat equation. For the discretization of …

High order accurate weighted essentially nonoscillatory (WENO) schemes are usually
designed to solve hyperbolic conservation laws or to discretize the first derivative convection …

The generalized finite difference method (GFDM) has been proved to be a good meshless
method to solve several linear partial differential equations (PDEs): wave propagation …

In this research the numerical solution of nonlinear degenerate parabolic equations is
investigated by a new sixth‐order finite difference weighted essentially nonoscillatory …

In this paper, we propose a new finite difference weighted essentially non-oscillatory
(WENO) scheme for nonlinear degenerate parabolic equations which may contain non …

In this paper, a new modification of the weighted essentially non-oscillatory (WENO) method
for solving nonlinear degenerate parabolic equations is developed using deep learning …

We study solutions to nonlinear hyperbolic systems with fully nonlinear relaxation terms in
the limit of, both, infinitely stiff relaxation and arbitrary late time. In this limit, the dynamics is …

In this paper, we present a systematic framework to derive a variational Lagrangian scheme
for porous medium type generalized diffusion equations by employing a discrete energetic …