2 NUMERICAL APPROXIMATIONS FOR A CLASS OF WEAKLY SINGULAR INTEGRAL-OPERATORS

被引：1
|
作者：
AHUES, M
LARGILLIER, A
机构：
[1] Équipe d'Analyse Numérique de Lyon - Saint Étienne, Unité Associée au C.N.R.S. No. 740, 42023 Saint-Étienne, 23, rue Dr. Paul Michelon
来源：
APPLIED NUMERICAL MATHEMATICS | 1995年 / 17卷 / 04期
关键词：
WEAKLY SINGULAR INTEGRAL OPERATORS; COLLECTIVELY COMPACT CONVERGENCE; SINGULARITY SUBTRACTION; SELF-RANGE-UNIFORM CONVERGENCE; EIGENVALUES; EIGENVECTORS;
D O I：
10.1016/0168-9274(95)00072-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the numerical approximation of a class of weakly singular compact integral operators. We present two self-range-uniform discretizations. The first one is defined by truncation followed by a numerical quadrature and the second uses a particular form of singularity subtraction. Numerical experiments are done on spectral computations in order to compare both kinds of approximations.
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页码：347 / 362
页数：16
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