A symplectic algorithm for wave equations

被引：16

作者：

Lu, XW ^{[1
]}

Schmid, R ^{[1
]}

机构：

[1] EMORY UNIV, DEPT MATH & COMP SCI, ATLANTA, GA 30322 USA

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 1997年 / 43卷 / 01期

关键词：

D O I：

10.1016/S0378-4754(96)00052-3

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Numerical schemes for finite-dimensional Hamiltonian system which preserve the symplectic structure are generalized to infinite-dimensional Hamiltonian systems and applied to construct finite difference schemes for the nonlinear wave equation. The numerical results show that these schemes compare favorably with conventional difference methods. Furthermore, the successful long-term tracking capability for these Hamiltonian schemes is remarkable and striking.

引用

页码：29 / 38

页数：10

共 8 条

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