TY - JOUR
T1 - Multisymplectic Fourier Pseudospectral Method for the Nonlinear Schrödinger Equations with Wave Operator
AU - Jian Wang
JO - Journal of Computational Mathematics
VL - 1
SP - 31
EP - 48
PY - 2007
DA - 2007/02
SN - 25
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8671.html
KW - Multisymplecticity, Fourier pseudospectral method, Local conservation laws.
AB - <p style="text-align: justify;">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.</p>