A new explicit multisymplectic integrator for the Kawahara-type equation

We derive a new multisymplectic integrator for the Kawahara-type equation which is a fully explicit scheme and thus needs less computation cost. Multisympecticity of such scheme guarantees the long-time numerical behaviors. Nu- merical experiments are presented to verify the accuracy of this scheme...

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Bibliographic Details
Published inChinese physics B Vol. 23; no. 3; pp. 99 - 103
Main Author 蔡文君 王雨顺
Format Journal Article
LanguageEnglish
Published 01.03.2014
Subjects
Accuracy
Computation
Integrators
Invariants
Mathematical analysis
Preservation
保存性能
方程
河滩
积分器
精确度
计算成本
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ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/23/3/030204

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Summary:We derive a new multisymplectic integrator for the Kawahara-type equation which is a fully explicit scheme and thus needs less computation cost. Multisympecticity of such scheme guarantees the long-time numerical behaviors. Nu- merical experiments are presented to verify the accuracy of this scheme as well as the excellent performance on invariant preservation for three kinds of Kawahara-type equations.
Bibliography:11-5639/O4
Kawahara-type equation, multisymplectic integrator, Euler-box scheme, adjoint scheme
We derive a new multisymplectic integrator for the Kawahara-type equation which is a fully explicit scheme and thus needs less computation cost. Multisympecticity of such scheme guarantees the long-time numerical behaviors. Nu- merical experiments are presented to verify the accuracy of this scheme as well as the excellent performance on invariant preservation for three kinds of Kawahara-type equations.
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content type line 23
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/23/3/030204