A new class of energy-preserving numerical integration methods

被引:348
|
作者
Quispel, G. R. W. [1 ,2 ]
McLaren, D. I. [1 ]
机构
[1] La Trobe Univ, Dept Math, Bundoora, Vic 3086, Australia
[2] La Trobe Univ, Ctr Excellence Math & Stat Complex Syst, Bundoora, Vic 3086, Australia
关键词
D O I
10.1088/1751-8113/41/4/045206
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The first ever energy-preserving B-series numerical integration method for (ordinary) differential equations is presented and applied to several Hamiltonian systems. Related novel Lie algebraic results are also discussed.
引用
收藏
页数:7
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