Inverse Lax-Wendroff Boundary Treatment: A Survey

Year:    2022

Author:    Chi-Wang Shu

Communications in Mathematical Research , Vol. 38 (2022), Iss. 3 : pp. 333–350

Abstract

The inverse Lax-Wendroff (ILW) procedure is a numerical boundary treatment technique, which allows finite difference schemes and other schemes to achieve stability and high order accuracy when using cartesian meshes to solve boundary value problems defined on complex computational domain. In this short survey we summarize the main ingredients of the ILW procedure, discuss its applicability and stability properties, and provide possible directions of its future development.

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cmr.2022-0015

Communications in Mathematical Research , Vol. 38 (2022), Iss. 3 : pp. 333–350

Published online:    2022-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:    Inverse Lax-Wendroff procedure boundary treatment high order accuracy stability complex geometry.

Author Details

Chi-Wang Shu