| 输运方程特征值问题的高精度求积方法 |
| |
| 引用本文： | 王丽,吕涛.输运方程特征值问题的高精度求积方法[J].高等学校计算数学学报,2010,32(1). |
| |
| 作者姓名： | 王丽 吕涛 |
| |
| 作者单位： | 1. 中国民航飞行学院计算机学院,广汉,618307
2. 四川大学数学学院,成都,610064 |
| |
| 摘 要： | <正>1引言考虑平板各向异性散射和裂变的输运方程:其中,2a为平板厚度.-a≤x≤a,-1≤μ,μ′≤1,V是临界特征值.如何求解输运方程的最大的简单特征值问题是一个重要课题1].关于它的存在性已
|
| 关 键 词： | 积分算子 周期化 求积方法 求积公式 高精度 临界特征 特征值问题 输运方程 近似算子 简单特征值 |
QUADRATURE METHODS WITH HIGH ACCURACY FOR SOLVING EIGENVALUE PROBLEMS OF THE TRANSPORT EQUATION |
| |
| Wang Li,L Tao.QUADRATURE METHODS WITH HIGH ACCURACY FOR SOLVING EIGENVALUE PROBLEMS OF THE TRANSPORT EQUATION[J].Numerical Mathematics A Journal of Chinese Universities,2010,32(1). |
| |
| Authors: | Wang Li L Tao |
| |
| Institution: | Wang Li (School of Computer Science of China Civil Aviation Flight College,Guanghan 618307) L(u|¨) Tao (Mathematical College,Sichuan University,Chengdu 610064) |
| |
| Abstract: | By means of the compact operators,eigenvalue problems of transport equation are transformed into eigenvalue problems of weakly singular integral operators. Applying Side's quadrature rules,we present the quadrature methods with high accuracy for solving eigenvalue problems of the transport equation.An asymptotic expansion of the errors with O(h~3) is shown.Then using extrapolation we improve the accuracy order of approximations. |
| |
| Keywords: | eigenvalue problems of transport equation Side's quadrature rules extrapolation |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
