A numerical wave model is developed to simulate freak wave generation,which is based on the modified four-order nonlinear Schrdinger equation governing the slow variation of complex envelope in deep water and a standard split-step,pseudo-spectral method.

Based on pseudo-spectral method,this article calculates focusing and active sonar of time reversal in shallow water environment and introduces evolution process of forward modeling sound field distribution and back analysis sound field distribution for noise source frequency of 100Hertz.

In this paper,the four-order nonlinear Schrodinger equations and the pseudo-spectral method are introduced to develop a 2-D numerical water flume based on the Benjamin-Feir instability of random wave trains,which is adopted to simulate the freak waves in deep water.

Calculations of high order harmonic generation and ionization probability of o ne-dimensional atom in the intense laser field with pseudospectral method;

In this paper, we propose a new numerical method which is a least squares approximation based on pseudospectral method for the biharmonic equation with nonhomogeneous boundary conditions in a two dimensional domain.

We solve time-dependent Schrodinger equation of one-dimensional atom in intense laser field with pseudospectral method by introducing nonlinear space transformation.