期刊文献+
共找到1篇文章
< 1 >
每页显示 20 50 100
The Lanczos-Chebyshev Pseudospectral Method for Solution of Differential Equations 被引量:2
1
作者 Peter Y. P. Chen 《Applied Mathematics》 2016年第9期927-938,共12页
In this paper, we propose to replace the Chebyshev series used in pseudospectral methods with the equivalent Chebyshev economized power series that can be evaluated more rapidly. We keep the rest of the implementation... In this paper, we propose to replace the Chebyshev series used in pseudospectral methods with the equivalent Chebyshev economized power series that can be evaluated more rapidly. We keep the rest of the implementation the same as the spectral method so that there is no new mathematical principle involved. We show by numerical examples that the new approach works well and there is indeed no significant loss of solution accuracy. The advantages of using power series also include simplicity in its formulation and implementation such that it could be used for complex systems. We investigate the important issue of collocation point selection. Our numerical results indicate that there is a clear accuracy advantage of using collocation points corresponding to roots of the Chebyshev polynomial. 展开更多
关键词 solution of differential equations Chebyshev Economized Power Series Collocation Point Selection Lanczos-Chebyshev Pseudospectral Method
下载PDF
上一页 1 下一页 到第
使用帮助 返回顶部