An Integral Evolution Formula for the Wave Equation

✍ Scribed by Bradley Alpert; Leslie Greengard; Thomas Hagstrom

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 54 KB
• Volume: 162
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.2000.6547

✦ Synopsis

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.