摘要
在解非线性的进化型偏微分方程时,为了数值计算的稳定性常常采用无条件稳定的隐式差分格式.这样会引起两个问题:一是要解线性甚至非线性的代数方程组,这是费时间的;另一是在解代数方程组时,迭代法的收敛性依赖于时间步长,特别是非线性迭代的收敛性会对时间步长加以严格的限制.
In this paper, a conservative difference scheme for the generalizel nonlinear Schrodingerequation is given. A multigrid method and an adaptive algorithm are used to solve the equa-tions. Numerical results are presented and compared, demonstrating that the multigrid methodand adaptive algorithm are efficient and can considerably relax the retriction on the stepsize of time caused by nonlinear iteration.
出处
《计算数学》
CSCD
北大核心
1991年第4期393-402,共10页
Mathematica Numerica Sinica
