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| 广义KdV方程Fourier谱逼近的最优误差估计 | |
| 引用本文： | 邓镇国,马和平. 广义KdV方程Fourier谱逼近的最优误差估计[J]. 应用数学和力学(英文版), 2009, 30(1): 29-38. DOI: 10.1007/s10483-009-0104-1 |
| 作者姓名： | 邓镇国 马和平 |
| 作者单位： | Zhen-guo DENG(Department of Mathematics, Shanghai University,Shanghai 200444, P. R. China;School of Mathematics and Information Science,Guangxi University, Nanning 530004, P. R. China);He-ping MA(School of Mathematics and Information Science,Guangxi University, Nanning 530004, P. R. China) |
| 基金项目： | 国家自然科学基金，上海市重点学科建设项目 |
| 摘 要： | A Fourier spectral method for the generalized Korteweg-de Vries equation with periodic boundary conditions is analyzed, and a corresponding optimal error estimate in L^2-norm is obtained. It improves the result presented by Maday and Quarteroni. A modified Fourier pseudospectral method is also presented, with the same convergence properties as the Fourier spectral method. |
| 关 键 词： | 偏微分方程 数值解法 计算数学 近似值 |
| 收稿时间： | 2008-03-05 |
Optimal error estimates for Fourier spectral approximation of the generalized KdV equation |
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| Zhen-guo Deng,He-ping Ma. Optimal error estimates for Fourier spectral approximation of the generalized KdV equation[J]. Applied Mathematics and Mechanics(English Edition), 2009, 30(1): 29-38. DOI: 10.1007/s10483-009-0104-1 | |
| Authors: | Zhen-guo Deng He-ping Ma |
| Affiliation: | 1. Department of Mathematics, Shanghai University,Shanghai 200444, P. R. China;2. School of Mathematics and Information Science,Guangxi University, Nanning 530004, P. R. China |
| Abstract: | A Fourier spectral method for the generalized Korteweg-de Vrics equation with periodic boundary conditions is analyzed, and a corresponding optimal error esti-mate in L2-norm is obtained. It improves the result presented by Maday and Quarteroni. A modified Fourier pseudospectral method is also presented, with the same convergence properties as the Fourier spectral method. |
| Keywords: | Fourier spectral method modified Fourier pseudospectral method gener-alized Korteweg-de Vries equation error estimate |
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