Integrable discrete systems and numerical integrators

✍ Scribed by B. Grammaticos; B. Dorizzi

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 721 KB
• Volume: 37
• Category: Article
• ISSN: 0378-4754
• DOI: 10.1016/0378-4754(94)00023-9

✦ Synopsis

We present an analysis of various integration schemes which are applied to the numerical integration of, first, a one-dimensional Hamiltonian system and, second, Painlevt equations I and II. Both systems are well-known integrable ones. Integrable integrators are best suited for the simulation of integrable systems since they allow simulations over long times and the use of moderately large integration steps.