Symplectic Schemes for Quasilinear Wave Equations of Klein-Gordon and Sine-Gordon Type

Symplectic Schemes for Quasilinear Wave Equations of Klein-Gordon and Sine-Gordon Type

Year:    2001

Author:    Xiao-Wu Lu

Journal of Computational Mathematics, Vol. 19 (2001), Iss. 5 : pp. 475–488

Abstract

A class of finite difference methods of first- and second-order accuracy for the computation of solutions to the quasilinear wave equations is presented. These difference methods are constructed based on the symplectic schemes to the infinite-dimensional Hamiltonian system. Numerical experiments are presented to demonstrate the superior performance of these methods.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2001-JCM-9000

Journal of Computational Mathematics, Vol. 19 (2001), Iss. 5 : pp. 475–488

Published online:    2001-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Symplectic integration Sine-Gordon equations Finite difference method.

Author Details

Xiao-Wu Lu