@Article{JCM-19-5, author = {Xiao-Wu, Lu}, 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/2001-JCM-9000}, url = {https://global-sci.com/article/85501/symplectic-schemes-for-quasilinear-wave-equations-of-klein-gordon-and-sine-gordon-type} }