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输运方程特征值问题的高精度求积方法
QUADRATURE METHODS WITH HIGH ACCURACY FOR SOLVING EIGENVALUE PROBLEMS OF THE TRANSPORT EQUATION
【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
【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.
- 【文献出处】 高等学校计算数学学报 ,Numerical Mathematics A Journal of Chinese Universities , 编辑部邮箱 ,2010年01期
- 【分类号】O175.9
- 【被引频次】1
- 【下载频次】75