An integral evolution formula for the wave equation

被引：21

作者：

Alpert, B

Greengard, L

Hagstrom, T

机构：

[1] Natl Inst Stand & Technol, Boulder, CO 80303 USA

[2] NYU, Courant Inst Math Sci, New York, NY 10012 USA

[3] Univ New Mexico, Dept Math & Stat, Albuquerque, NM 87131 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2000年 / 162卷 / 02期

基金：

美国国家科学基金会;

关键词：

small-cell problem; stability;

D O I：

10.1006/jcph.2000.6547

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We present a new time-symmetric evolution formula for the scalar wave equation. It is simply related to the classical D'Alembert or spherical means representations, but applies equally well in two space dimensions. It can be used to develop stable, robust numerical schemes on irregular meshes. (C) 2000 Academic Press.

引用

页码：536 / 543

页数：8