ON THE UNIFORM-CONVERGENCE OF A PERTURBED COLLOCATION METHOD FOR A CLASS OF CAUCHY INTEGRAL-EQUATIONS

被引:4
|
作者
CUMINATO, JA
机构
[1] Instituto de Ciências Matemáticas de São Carlos, Universidade de São Paulo, São Carlos, SP
关键词
D O I
10.1016/0168-9274(95)00004-E
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is concerned with the proof of convergence and derivation of convergence rates of a perturbed polynomial collocation method for the numerical solution of Cauchy-type singular integral equations. The analysis is restricted to the constant coefficients and nonnegative index case. The integrals involved in the compact operator are approximated by quadrature rules.
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页码:439 / 455
页数:17
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