| Autor: |
Burnton, Christopher, Scherer, Rudolf |
| Zdroj: |
BIT Numerical Mathematics; March 1998, Vol. 38 Issue: 1 p12-21, 10p |
| Abstrakt: |
Abstract: Symplectic Runge-Kutta-Nystrm methods are frequently used to integrate secondorder systems of the special form=f(y), where the functionf is the gradient of a scalar field multiplied by a regular matrix. In this paper Gauss-Runge-Kutta-Nystrm methods, i.e., methods of the highest order, are discussed. It is proved that these methods are always symmetric and that symmetry is equivalent to symplecticness. Furthermore, it is shown that for each stage number the symplectic Gauss-Runge-Kutta-Nystrm methods are given by a family of methods with one free parameter. |
| Databáze: |
Supplemental Index |
| Externí odkaz: |
|
Full text from SpringerLink