Spatial finite difference approximations for wave-type equations

被引：36

作者：

Fornberg, B ^{[1
]}

Ghrist, M ^{[1
]}

机构：

[1] Univ Colorado, Dept Appl Math, Boulder, CO 80309 USA

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1999年 / 37卷 / 01期

关键词：

finite differences; implicit approximation; compact approximation; staggered grid; pseudospectral method;

D O I：

10.1137/S0036142998335881

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The simplest finite difference approximations for spatial derivatives are centered, explicit, and applied to "regular" equispaced grids. Well-established generalizations include the use of implicit (compact) approximations and staggered grids. We find here that the combination of these two concepts, together with high formal order of accuracy, is very effective for approximating the first derivatives in space that occur in many wave-type PDEs.

引用

页码：105 / 130

页数：26

共 22 条

[1] HIGHLY ACCURATE COMPACT IMPLICIT METHODS AND BOUNDARY-CONDITIONS [J].