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Volume 19, Issue 5
Symplectic Schemes for Quasilinear Wave Equations of Klein-Gordon and Sine-Gordon Type

Xiao-Wu Lu

J. Comp. Math., 19 (2001), pp. 475-488.

Published online: 2001-10

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  • 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.

  • Keywords

Symplectic integration, Sine-Gordon equations, Finite difference method.

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COPYRIGHT: © Global Science Press

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@Article{JCM-19-475, author = {Lu , Xiao-Wu}, title = {Symplectic Schemes for Quasilinear Wave Equations of Klein-Gordon and Sine-Gordon Type}, journal = {Journal of Computational Mathematics}, year = {2001}, volume = {19}, number = {5}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9000.html} }
TY - JOUR T1 - Symplectic Schemes for Quasilinear Wave Equations of Klein-Gordon and Sine-Gordon Type AU - Lu , Xiao-Wu JO - Journal of Computational Mathematics VL - 5 SP - 475 EP - 488 PY - 2001 DA - 2001/10 SN - 19 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9000.html KW - Symplectic integration, Sine-Gordon equations, Finite difference method. AB -

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.

Xiao-Wu Lu. (1970). Symplectic Schemes for Quasilinear Wave Equations of Klein-Gordon and Sine-Gordon Type. Journal of Computational Mathematics. 19 (5). 475-488. doi:
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