Multisymplectic Fourier Pseudospectral Method for the Nonlinear Schrödinger Equations with Wave Operator
Year: 2007
Journal of Computational Mathematics, Vol. 25 (2007), Iss. 1 : pp. 31–48
Abstract
In this paper, the multisymplectic Fourier pseudospectral scheme for initial-boundary value problems of nonlinear Schrödinger equations with wave operator is considered. We investigate the local and global conservation properties of the multisymplectic discretization based on Fourier pseudospectral approximations. The local and global spatial conservation of energy is proved. The error estimates of local energy conservation law are also derived. Numerical experiments are presented to verify the theoretical predications.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2007-JCM-8671
Journal of Computational Mathematics, Vol. 25 (2007), Iss. 1 : pp. 31–48
Published online: 2007-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Multisymplecticity Fourier pseudospectral method Local conservation laws.