The conditioning of some numerical methods for first kind boundary integral equations

被引：23

作者：

Christiansen, S

Saranen, J

机构：

[1] TECH UNIV DENMARK, INST MATH MODELLING, DK-2800 LYNGBY, DENMARK

[2] UNIV OULU, DEPT MATH, SF-90570 OULU, FINLAND

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1996年 / 67卷 / 01期

关键词：

integral equation; logarithmic kernel; Matrix equation; condition numbers;

D O I：

10.1016/0377-0427(94)00121-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the sensitivity of the matrix equations which arise when solving boundary integral equations of negative order, specifically in case of the typical example of the operator with logarithmic kernel. The sensitivity is expressed using condition numbers and it turns out that the local condition number is a very good indicator, in contrast to the ordinary condition number, traditionally used.

引用

页码：43 / 58

页数：16

共 18 条

[1]

[Anonymous], 1983, NUMERICAL METHODS SO

[2]

Atkinson K. E., 1988, J INTEGRAL EQUAT, V1, P343

[3] EFFECTIVELY WELL-CONDITIONED LINEAR-SYSTEMS [J].

CHAN, TF ;

FOULSER, DE .

SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1988, 9 (06) :963-969

[4]

Christiansen C., 1981, Math. Methods Appl. Sci, V3, P364

[5] THE EFFECTIVE CONDITION NUMBER APPLIED TO ERROR ANALYSIS OF CERTAIN BOUNDARY COLLOCATION METHODS [J].

CHRISTIANSEN, S ;

HANSEN, PC .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1994, 54 (01) :15-36

[6]

Christiansen S., 1971, BIT (Nordisk Tidskrift for Informationsbehandling), V11, P276, DOI 10.1007/BF01931809

[7] ON THE CONDITION OF THE LINEAR-SYSTEMS ASSOCIATED WITH DISCRETIZED BVPS OF ODES [J].

DEBOOR, C ;

KREISS, HO .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1986, 23 (05) :936-939

[8]

Golub G, 2013, Matrix Computations, V4th

[9]

Jaswon M. A., 1977, Integral equation methods in potential theory and elastostatics

[10]

LANDKOF NS, 1972, F MODERN POTENTIAL T

← 1 2 →