EXPLICIT CANONICAL METHODS FOR HAMILTONIAN-SYSTEMS

被引：66

作者：

OKUNBOR, D

SKEEL, RD

机构：

来源：

MATHEMATICS OF COMPUTATION | 1992年 / 59卷 / 200期

关键词：

HAMILTONIAN SYSTEMS; CANONICAL METHODS; RUNGE-KUTTA METHODS; ADJOINT METHODS; RUNGE-KUTTA-NYSTROM METHODS;

D O I：

10.2307/2153066

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider canonical partitioned Runge-Kutta methods for separable Hamiltonians H = T(p) + V(q) and canonical Runge-Kutta-Nystrom methods for Hamiltonians of the form H = 1/2p(T)M-1p + V(q) with M a diagonal matrix. We show that for explicit methods there is great simplification in their structure. Canonical methods of orders one through four are constructed. Numerical experiments indicate the suitability of canonical numerical schemes for long-time integrations.

引用

页码：439 / 455

页数：17