TY - JOUR
T1 - High Order Pade Schemes for Nonlinear Wave Propagation Problems
AU - P. L. Li & R. X. Liu
JO - Numerical Mathematics, a Journal of Chinese Universities
VL - 4
SP - 370
EP - 382
PY - 2007
DA - 2007/11
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/nm/10066.html
KW - 
AB - 
Split-step Pad\'{e} method and split-step fourier method are applied
to the higher-order nonlinear Schr\"{o}dinger equation. It is
proved that a combination of Pad\'{e} scheme and spectral method is
the most effective method, which has a spectral-like resolution and
good stability nature. In particular, we propose an unconditional
stable implicit Pad\'{e} scheme to solve odd order nonlinear
equations. Numerical results demonstrate the excellent performance
of Pad\'{e} schemes for high order nonlinear equations.