Numerical integrators that contract volume

✍ Scribed by Robert I. McLachlan; G.R.W. Quispel

• Book ID: 104308736
• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 78 KB
• Volume: 34
• Category: Article
• ISSN: 0168-9274
• DOI: 10.1016/s0168-9274(99)00131-2

✦ Synopsis

We study numerical integrators that contract phase space volume even when the ODE does so at an arbitrarily small rate. This is done by a splitting into two-dimensional contractive systems. We prove a sufficient condition for Runge-Kutta methods to have the appropriate contraction property for these two-dimensional systems; the midpoint rule is an example.