Nystrom methods for Cauchy Singular Integral Equations. A survey

被引：0

作者：

De Bonis, Maria Carmela ^{[1
]}

Laurita, Concetta ^{[1
]}

机构：

[1] Univ Basilicata, Dept Math & Comp Sci, Viale Ateneo Lucano 10, I-85100 Potenza, Italy

来源：

RIVISTA DI MATEMATICA DELLA UNIVERSITA DI PARMA | 2008年 / 8卷

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper the Authors make a short survey on the numerical treatment of CSIE s with constant coefficients on the interval [-1,1]. They describe some direct methods but their attention is mainly focused on the indirect methods, in particular on the Nystrom method.

引用

页码：139 / 169

页数：31

共 50 条

[1] NYSTROM ITERATIVE VARIANT METHODS FOR THE SOLUTION OF CAUCHY SINGULAR INTEGRAL-EQUATIONS
GERASOULIS, A
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1989, 26 (02) : 430 - 441
[2] Nystrom method for Cauchy singular integral equations with negative index
De Bonis, M. C.
Laurita, C.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 232 (02) : 523 - 538
[3] A category of singular integral equations.
Wiener, N
Hope, E
SITZUNGSBERICHTE DER PREUSSICHEN AKADEMIE DER WISSENSCHAFTEN PHYSIKALISCH-MATHEMATISCHE KLASSE, 1931, : 696 - 706
[4] On a few singular integral equations.
Goursat, E
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1913, 157 : 843 - 846
[5] Collocation methods for Cauchy singular integral equations on the interval
Junghanns, P
Rogozhin, A
ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 2004, 17 : 11 - 75
[6] THE COLLOCATION METHODS FOR SINGULAR INTEGRAL EQUATIONS WITH CAUCHY KERNELS
杜金元
Acta Mathematica Scientia, 2000, (03) : 289 - 302
[7] On a few singular integral equations.
Zarlatte, FS
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1913, 157 : 198 - 201
[8] Classification of a singular integral equations.
Bochner, S
SITZUNGSBERICHTE DER PREUSSICHEN AKADEMIE DER WISSENSCHAFTEN PHYSIKALISCH-MATHEMATISCHE KLASSE, 1930, : 403 - 411
[9] The collocation methods for singular integral equations with Cauchy kernels
Du, JY
ACTA MATHEMATICA SCIENTIA, 2000, 20 (03) : 289 - 302
[10] On collocation methods for nonlinear Cauchy singular integral equations
Junghanns, P
Müller, K
Rost, K
TOEPLITZ MATRICES AND SINGULAR INTEGRAL EQUATIONS: THE BERND SILBERMANN ANNIVERSARY VOL, 2002, 135 : 209 - 233

← 1 2 3 4 5 →