| 偏微分方程的一阶系统数值方法 |
| |
| 引用本文： | 田益民.偏微分方程的一阶系统数值方法[J].北方交通大学学报,2011(6):144-146. |
| |
| 作者姓名： | 田益民 |
| |
| 作者单位： | 北京印刷学院基础部,北京102600 |
| |
| 基金项目： | 国家自然科学基金资助项目（61178092,60850007）;北京市属高校人才强教计划项目资助（201107145）;北京自然科学基金资助项目（A1092012）;北京市优秀人才培养项目资助（201113005004000002） |
| |
| 摘 要： | 对于偏微分方程来说，尽管方程在某些意义上是等价的，其数值方法的效果却可以很不相同，正是因为这个原因，用一阶系统极小二乘方法来处理偏微分方程是有意义的．最简单的一阶椭圆系统是柯西黎曼方程，本文对这一系统的差分格式进行了一些讨论．
|
| 关 键 词： | 计算数学 一阶系统 柯西黎曼方程 差分格式 |
On numerical method for first order system of partial differential equations |
| |
| TIAN Yimin.On numerical method for first order system of partial differential equations[J].Journal of Northern Jiaotong University,2011(6):144-146. |
| |
| Authors: | TIAN Yimin |
| |
| Institution: | TIAN Yimin (Mathematics and Physics Division, Beijing Institute of Graphic Communication, Beijing 102600, China) |
| |
| Abstract: | The idea to use first order system least squares in solving second partial differential equations is meaningful, since the effect of the numeric method is very different, though the differential equation is equivalent. The simplest case of the first order elliptic system is Cauchy-Riemann equation. Some difference schemes of this equation is studied in this paper. |
| |
| Keywords: | computational mathematics first order system Cauchy-Riemann equation difference schemes |
| 本文献已被 维普 等数据库收录！ |
