@Article{NM-16-370,
author = {P. L. Li and R. X. Liu},
title = {High Order Pade Schemes for Nonlinear Wave Propagation Problems},
journal = {Numerical Mathematics, a Journal of Chinese Universities},
year = {2007},
volume = {16},
number = {4},
pages = {370--382},
abstract = {
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.},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/nm/10066.html}
}