High-order symplectic integration: an assessment

被引：89

作者：

Schlier, C ^{[1
]}

Seiter, A ^{[1
]}

机构：

[1] Univ Freiburg, Fak Phys, D-79104 Freiburg, Germany

来源：

COMPUTER PHYSICS COMMUNICATIONS | 2000年 / 130卷 / 1-2期

关键词：

ordinary differential equations; numerical integration; Hamiltonian systems; symplectic dynamics; classical trajectories;

D O I：

10.1016/S0010-4655(00)00011-4

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We report tests of some new symplectic integration routines of sixth and eighth order applied to the integration of classical trajectories for a triatomic model molecule. This system has mixed regular and chaotic phase space. Especially for long-lived trajectories, which are trapped in the stochastic layers of the phase space, the eighth-order integrators are very powerful. Among a great number of integrating routines tested by the authors they are the most efficient ones, i.e. they need the smallest computational expense at a prescribed accuracy level. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：176 / 189

页数：14

共 19 条

[1]

BENNETIN G, 1979, 2 NUOVO CIMENTO B, V50, P211

[2]

BENNETIN G, 1978, 2 NUOVO CIMENTO B, V44, P183

[3] ON THE EFFECTS OF AN UNCERTAINTY ON THE EVOLUTION LAW IN DYNAMICAL-SYSTEMS [J].