Variable step implementation of geometric integrators

被引：24

作者：

Calvo, MP ^{[1
]}

Lopez-Marcos, MA ^{[1
]}

Sanz-Serna, JM ^{[1
]}

机构：

[1] Univ Valladolid, Fac Ciencias, Dept Matemat Aplicada & Computac, E-47011 Valladolid, Spain

来源：

APPLIED NUMERICAL MATHEMATICS | 1998年 / 28卷 / 01期

关键词：

variable step sizes; symplectic integrators; reversible methods; Kepler's problem;

D O I：

10.1016/S0168-9274(98)00035-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We compare experimentally several techniques for combining geometric integrators with variable time steps. In particular, we study modifications of the Verlet method due to Leimkuhler and a technique for symplectic integration based on Poincare transformations suggested by Hairer and Reich independently. We conclude that it is feasible to develop symplectic variable step size codes that, for Hamiltonian problems, are competitive with standard software. We also analyze the error growth of the new algorithms when integrating periodic orbits. (C) 1998 Elsevier Science B.V. and IMACS. All rights reserved.

引用

页码：1 / 16

页数：16

共 19 条

[1]

[Anonymous], STATE ART NUMERICAL

[2] DANGERS OF MULTIPLE TIME-STEP METHODS [J].