COMPOSITION METHODS IN THE PRESENCE OF SMALL PARAMETERS

被引：70

作者：

MCLACHLAN, RI ^{[1
]}

机构：

[1] ETH ZENTRUM,FORSCH INST MATH,CH-8092 ZURICH,SWITZERLAND

来源：

BIT | 1995年 / 35卷 / 02期

关键词：

COMPOSITION METHODS; INITIAL VALUE PROBLEMS; SPLITTING METHODS; SYMPLECTIC INTEGRATORS; SOLAR SYSTEM;

D O I：

10.1007/BF01737165

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

We derive numerical methods for arbitrary small perturbations of exactly solvable differential equations. The methods, based in one instance on Gaussian quadrature, are symplectic if the system is Hamiltonian and are asymptotically more accurate than previously known methods.

引用

页码：258 / 268

页数：11

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