Pseudospectral vs. finite difference methods for initial value problems with discontinuous coefficients

被引:7
作者
Luo, ED [1 ]
Kreiss, HO
机构
[1] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA
[2] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90024 USA
关键词
pseudospectral; finite difference; initial value problem;
D O I
10.1137/S1064827596301698
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An initial value problem with piecewise-constant coefficients is considered. The accuracies for both finite difference methods and the pseudospectral method are analyzed, and a modification of the initial value problem is suggested. The modified problem is shown to have the same temporal period as the original problem does, and a second-order accuracy is obtained for the pseudospectral method at integral multiples of the temporal period.
引用
收藏
页码:148 / 163
页数:16
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