Processing symplectic methods for near-integrable Hamiltonian systems

被引：19

作者：

Blanes, S ^{[1
]}

Casas, F

Ros, J

机构：

[1] Univ Jaume 1, Dept Matemat, Castellon de La Plana 12071, Spain

[2] Univ Valencia, Dept Fis Teor, E-46100 Burjassot, Spain

[3] Univ Valencia, IFIC, E-46100 Burjassot, Spain

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 2000年 / 77卷 / 01期

关键词：

symplectic integrators; processing technique; near-integrable Hamiltonian systems;

D O I：

10.1023/A:1008311025472

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Processing techniques are used to approximate the exact flow of near-integrable Hamiltonian systems depending on a small perturbation parameter. We study the reduction of the number of conditions for the kernel for this type of Hamiltonians and we build third, fourth and fifth order methods which are shown to be more efficient than previous algorithms for the same class of problems.

引用

页码：17 / 35

页数：19

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