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.

引用

页码：347 / 362

页数：16

共 50 条

[21] METHOD FOR SINGULARITY EXCISION FOR ONE CLASS OF SINGULAR INTEGRAL-OPERATORS
PILIDI, VS
IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA, 1990, (02): : 78 - 80
[22] ON THE UNIFORM INVERTIBILITY OF REGULAR APPROXIMATIONS OF ONE-DIMENSIONAL SINGULAR INTEGRAL-OPERATORS
PILIDI, VS
DOKLADY AKADEMII NAUK SSSR, 1988, 299 (06): : 1317 - 1320
[23] SOME CLASSES OF SINGULAR OPERATORS AND THEIR CONNECTION TO SINGULAR INTEGRAL-OPERATORS
MEYER, C
MATHEMATISCHE NACHRICHTEN, 1976, 73 : 171 - 183
[24] SINGULAR INTEGRAL-OPERATORS WITH COMPLEX HOMOGENEITY
ASH, JM
ASH, PF
FEFFERMAN, CL
JONES, RL
STUDIA MATHEMATICA, 1979, 65 (01) : 31 - 50
[25] ON ONE CLASS OF 2-DIMENSIONAL SINGULAR INTEGRAL-OPERATORS WITH SEVERAL FIXED SINGULARITIES
DZHANGIBEKOV, G
DOKLADY AKADEMII NAUK SSSR, 1992, 322 (01): : 22 - 27
[26] HP ESTIMATES FOR WEAKLY STRONGLY SINGULAR INTEGRAL-OPERATORS ON SPACES OF HOMOGENEOUS TYPE
BORDIN, B
STUDIA MATHEMATICA, 1983, 75 (02) : 217 - 234
[27] ON THE LOCAL BOUNDEDNESS OF SINGULAR INTEGRAL-OPERATORS
LECKBAND, M
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 308 (01) : 39 - 56
[28] STRONGLY FRACTIONAL SINGULAR INTEGRAL-OPERATORS
BORDIN, B
ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS, 1980, 52 (02): : 430 - 430
[29] PETTIS INTEGRALS AND SINGULAR INTEGRAL-OPERATORS
JEFFERIES, B
OKADA, S
ILLINOIS JOURNAL OF MATHEMATICS, 1994, 38 (02) : 250 - 272
[30] ON THE REGULARITY OF INVERSES OF SINGULAR INTEGRAL-OPERATORS
CHRIST, M
DUKE MATHEMATICAL JOURNAL, 1988, 57 (02) : 459 - 484

← 1 2 3 4 5 →