| SPECTRAL METHOD IN TIME FOR KdV EQUATIONS |
| |
| 引用本文： | 吴声昌,刘小清. SPECTRAL METHOD IN TIME FOR KdV EQUATIONS[J]. 应用数学和力学(英文版), 1996, 17(4): 373-378. DOI: 10.1007/BF00193801 |
| |
| 作者姓名： | 吴声昌 刘小清 |
| |
| 作者单位： | Institute of Applied Mathematics，Academia Sinica; Laboratory of Management Decison andInformation Systems，Academia Sinica，Beijing 100080，P.R.China |
| |
| 摘 要： | ＳＰＥＣＴＲＡＬＭＥＴＨＯＤＩＮＴＩＭＥＦＯＲＫｄＶＥＱＵＡＴＩＯＮＳＳＰＥＣＴＲＡＬＭＥＴＨＯＤＩＮＴＩＭＥＦＯＲＫｄＶＥＱＵＡＴＩＯＮＳ￥ＷｕＳｈｅｎｇｃｈａｎｇ（吴声昌）；ＬｉｕＸｉａｏｑｉｎｇ（刘小清）（ＲｅｃｅｉｖｅｄＦｅｂ．２２，１９９５...
|
| 收稿时间： | 1995-02-22 |
Spectral method in time for KdV equations |
| |
| Wu Shengchang,Liu Xiaoqing. Spectral method in time for KdV equations[J]. Applied Mathematics and Mechanics(English Edition), 1996, 17(4): 373-378. DOI: 10.1007/BF00193801 |
| |
| Authors: | Wu Shengchang Liu Xiaoqing |
| |
| Affiliation: | (1) Institute of Applied Mathematics, Academic Sinica, 100080 Beijing, P. R. China;(2) Laboratory of Management Decison and Information Systems, Academia Sinica, 100080 Beijing, P. R. China |
| |
| Abstract: | This paper presents a fully spectral discretization method for solving KdV equations with periodic boundary conditions.Chebyshev pseudospectral approximation in the time direction and Fourier Galerkin approximation in the spatial direction.The expansion coefficients are determined by minimizing an object funictional.Rapid convergence of the method is proved. |
| |
| Keywords: | KdV equation spectral method Galerkin approximation pseudospectral approximation |
| 本文献已被 CNKI SpringerLink 等数据库收录！ |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
|
点击此处可从《应用数学和力学(英文版)》下载全文 |
