| 二维线性Sobolev方程广义差分法 |
| |
| 引用本文： | 曹艳华. 二维线性Sobolev方程广义差分法[J]. 计算数学, 2005, 27(3): 243-256 |
| |
| 作者姓名： | 曹艳华 |
| |
| 作者单位： | 首都师范大学数学系,北京,100037 |
| |
| 基金项目： | 国家自然科学基金（No.10471100,40437017）和北京市自然科学基金资助项目. |
| |
| 摘 要： | 本文考虑了二维线性Sobolev方程的一阶广义差分法．把Sobolev方程从一维区间推广到二维区域时会产生许多的问题．本文将证明其半离散广义差分解的存在唯一性，并且通过引入Ritz-Volterra投影给出其L^P模和W^1,P模误差估计．
|
| 关 键 词： | Sobolev方程 一阶广义差分法 误差估计 |
| 收稿时间： | 2003-11-06 |
| 修稿时间： | 2003-11-06 |
THE GENERALIZED DIFFERENCE SCHEME FOR LINEAR SOBOLEV EQUATION IN TWO DIMENSIONS |
| |
| Cao Yanhua. THE GENERALIZED DIFFERENCE SCHEME FOR LINEAR SOBOLEV EQUATION IN TWO DIMENSIONS[J]. Mathematica Numerica Sinica, 2005, 27(3): 243-256 |
| |
| Authors: | Cao Yanhua |
| |
| Affiliation: | Cao Yanhua (Department of Mathematics, Captial Normal University, Beijing 100037, China) |
| |
| Abstract: | In this paper, the first order generalized difference scheme for linear Sobolev equation in two-dimension is considered. When the equation from one-dimension to two-dimension is populized, there will be many new problems. The existence and uniquenss of its semi-discrete generlized difference solutions are proved, and L^P and W^1,P-norm error estimates of u - Uh by means of the Ritz-Volterra projection u - Rh^u are given. |
| |
| Keywords: | Sobolev Equation First Order Generalized Difference Scheme Error Estimates |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《计算数学》浏览原始摘要信息 |
|
点击此处可从《计算数学》下载全文 |
