40 citations · 40 across the 1 of their papers we have counts for
4 papers
Uniformly accurate multiscale time integrators for highly oscillatory second order differential equations
Weizhu Bao, Xuanchun Dong, Xiaofei Zhao
In this paper, two multiscale time integrators (MTIs), motivated from two types of multiscale decomposition by either frequency or frequency and amplitude, are proposed and analyze…
Numerical solutions of the coupled nonlinear Klein--Gordon equations by trigonometric integrator pseudospectral discretization
Xuanchun Dong
A scheme stemming from the use of pseudospectral approximations to spatial derivatives followed by a time integrator based on trigonometric polynomials is proposed for the numerica…
A short note on simplified pseudospectral methods for computing ground state and dynamics of spherically symmetric Schrodinger--Poisson--Slater system
Xuanchun Dong
In a recent paper we proposed and compared various approaches to compute the ground state and dynamics of the Schrödinger--Poisson--Slater (SPS) system for general external potenti…
Numerical solutions of the symmetric regularized-long-wave equation by trigonometric integrator pseudospectral discretization
Xuanchun Dong
The computation of the symmetric regularized-long-wave (SRLW) equation, which describes weekly nonlinear ion acoustic and space-charge waves, is dealt with in this paper. The numer…