第二类Wiener-Hopf积分方程的复合Nystr?m-Clenshaw-Curtis方法  

Composite Nystr?m-Clenshaw-Curtis Quadratures for Wiener-Hopf Integral Equations of the Second Kind

作　　者：郭魏丽 林福荣[1] GUO Weili;LIN Furong(Department of Mathematics,Shantou University,Shantou 515063,Guangdong,China)

机构地区：[1]汕头大学数学系,广东汕头515063

出　　处：《汕头大学学报（自然科学版）》2018年第3期3-13,共11页Journal of Shantou University：Natural Science Edition

基　　金：国家自然科学基金面上资助项目(11771265)

摘　　要：研究第二类Wiener-Hopf积分方程的高精度数值解法.复合Nystr?m-Clenshaw-Curtis(NCC)求积方法被引入,预处理共轭梯度法被用于求解离散方程组,数值结果用于说明算法的有效性.Highly accurate numerical methods for the solution of Wiener-Hopf integral equations of the second kind are studied. Composite Nystr？m-Clenshaw-Curtis（NCC） quadratures are introduced to discretize the integral equation and the preconditioned conjugate gradient method is applied to solve the corresponding discretization linear system. Numerical results are presented to illustrate the effectiveness of the algorithms.

关 键 词：第二类Wiener-Hopf积分方程 复合NCC求积方法 Toeplitz块矩阵 循环块预处理矩阵 

分 类 号：O221.1[理学—运筹学与控制论]