An integral evolution formula for the wave equation

Citation
B. Alpert et al., An integral evolution formula for the wave equation, J COMPUT PH, 162(2), 2000, pp. 536-543
Citations number
5
Categorie Soggetti
Physics
Journal title
JOURNAL OF COMPUTATIONAL PHYSICS
ISSN journal
00219991 → ACNP
Volume
162
Issue
2
Year of publication
2000
Pages
536 - 543
Database
ISI
SICI code
0021-9991(20000810)162:2<536:AIEFFT>2.0.ZU;2-N
Abstract
We present a new time-symmetric evolution formula for the scalar wave equat ion. It is simply related to the classical D'Alembert or spherical means re presentations, but applies equally well in two space dimensions. It can be used to develop stable, robust numerical schemes on irregular meshes. (C) 2 000 Academic Press.