ORDER-PRESERVING MESH SPACING FOR COMPOUND QUADRATURE-FORMULAS AND FUNCTIONS WITH END-POINT SINGULARITIES

被引：0

作者：

KOHLER, P

机构：

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1995年 / 32卷 / 02期

关键词：

COMPOUND QUADRATURE FORMULAS; END-POINT SINGULARITIES; MESH SPACING;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For compound quadrature formulas for the numerical evaluation of integral(a)(b) w(x)f(x)dx, where the function f as well as the weight function w are allowed to have singularities at the endpoints a and b, we show how to preserve the order of convergence, which is obtained for smooth w and f, by an appropriate choice of the meshpoints. The main emphasis is on singularities of algebraic and logarithmic type.

引用

页码：671 / 686

页数：16

共 11 条

[1] COMPOUND QUADRATURE-FORMULAS FOR FUNCTIONS WITH SINGULARITIES NEAR THE INTERVAL OF INTEGRATION
KOHLER, P
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1994, 74 (06): : T693 - T695
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[3] POLYNOMIAL APPROXIMATIONS OF FUNCTIONS WITH END-POINT SINGULARITIES AND PRODUCT INTEGRATION FORMULAS
MASTROIANNI, G
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MATHEMATICS OF COMPUTATION, 1994, 62 (206) : 725 - 738
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ANGEWANDTE INFORMATIK, 1974, (02): : 65 - 68
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ROKHLIN, V
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[6] EFFICIENT QUADRATURE-RULES WITH A PRIORI ERROR-ESTIMATES FOR INTEGRANDS WITH END-POINT SINGULARITIES
AMINI, S
BIT NUMERICAL MATHEMATICS, 1986, 26 (02) : 200 - 208
[7] POLYNOMIAL SERIES VERSUS SINC EXPANSIONS FOR FUNCTIONS WITH CORNER OR END-POINT SINGULARITIES
BOYD, JP
JOURNAL OF COMPUTATIONAL PHYSICS, 1986, 64 (01) : 266 - 270
[8] EXTENSION OF NUMERICAL QUADRATURE FORMULAS TO CATER FOR END-POINT SINGULAR BEHAVIORS OVER FINITE INTERVALS
HARRIS, CG
EVANS, WAB
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1977, 6 (03) : 219 - 227
[9] Recovering exponential accuracy from collocation point values of smooth functions with end-point singularities*
Chen, Zheng
Shu, Chi-Wang
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 265 : 83 - 95
[10] LOW-ORDER METHODS FOR CAUCHY PRINCIPAL VALUE INTEGRALS WITH END-POINT SINGULARITIES
POTRA, FA
VENTURINO, E
IMA JOURNAL OF NUMERICAL ANALYSIS, 1994, 14 (02) : 295 - 310

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