The analysis of singular perturbed differential equations began early in the twentieth
century, when approximate solutions were constructed from asymptotic expansions …

This book is about adaptive mesh generation and moving mesh methods for the numerical
solution of time-dependent partial differential equations. It presents a general framework and …

Moving Mesh Methods for Computational Fluid Dynamics Page 1 Contemporary Mathematics
Moving Mesh Methods for Computational Fluid Dynamics Tao Tang Abstract. In this paper …

In this paper, we present a new optimal interpolation error estimate in $ L^ p $ norm ($1\leq
p\leq\infty $) for finite element simplicial meshes in any spatial dimension. A sufficient …

The classical discontinuous Galerkin method for a general parabolic equation is analyzed.
Symmetric error estimates for schemes of arbitrary order are presented. The ideas …

Most existent papers have focused on the fixed mesh methods for solving space fractional
differential equations. However since some classes of space fractional differential equations …

Numerical schemes to compute approximate solutions of the evolutionary Stokes and Navier-
Stokes equations are studied. The schemes are discontinuous in time and conforming in …

A moving mesh discontinuous Galerkin method is presented for the numerical solution of
hyperbolic conservation laws. The method is a combination of the discontinuous Galerkin …

The ability to handle complex geometries is an important part of transient calculations;
therefore, the need for fully automatic mesh generation capable of dealing with such …

The aim of this paper is to investigate the stability of time integration schemes for the solution
of a finite element semi-discretization of a scalar convection–diffusion equation defined on a …