Composition methods for differential equations with processing

被引：15

作者：

Blanes, S ^{[1
]}

Casas, F

Murua, A

机构：

[1] Univ Politecn Valencia, Inst Matemat Multidisciplinar, Valencia 46022, Spain

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

[3] UPV, EHU, Informat Fak, San Sebastian, Spain

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2006年 / 27卷 / 06期

关键词：

composition methods; geometric integrators; processing technique; cheap postprocessor; initial value problems;

D O I：

10.1137/030601223

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct numerical integrators for differential equations up to order 12 obtained by composition of basic integrators. The following cases are considered: ( i) composition for a system separable in two solvable parts, ( ii) composition using as basic methods a first-order integrator and its adjoint, ( iii) composition using second-order symmetric methods, and ( iv) composition using fourth-order symmetric methods. Each scheme is implemented with a processor or corrector to improve their efficiency, and this can be done virtually cost-free.

引用

页码：1817 / 1843

页数：27

共 26 条

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