Quadrature formulae for the Hadamard integral over a curvilinear surface

被引：2

作者：

Lifanov, IK ^{[1
]}

Poltavskii, LM ^{[1
]}

机构：

[1] NE Zhukovskii Air Force Engn Acad, Moscow 125190, Russia

来源：

RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING | 1998年 / 13卷 / 01期

关键词：

D O I：

10.1515/rnam.1998.13.1.27

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we investigate the convergence of quadrature formulae obtained by the method analogous to the method of discrete closed vortex frames for an integral of third-degree singularity over a curvilinear surface, which implies the Hadamard finite part.

引用

页码：27 / 44

页数：18

共 50 条

[31] SOME QUADRATURE FORMULAE FOR SINGULAR INTEGRALS
杜金元
ActaMathematicaScientia, 1984, (02) : 233 - 242
[32] OPTIMUN ADDITION OF POINTS TO QUADRATURE FORMULAE
PATTERSON, TN
MATHEMATICS OF COMPUTATION, 1968, 22 (104) : 847 - +
[33] Gaussian quadrature formulae with multiple nodes
Degeratu, Lurentia
IPB Buletin Stiintific - Electrical Engineering, 1992, 54 (1-2):
[34] On quadrature formulae based on derivative collocation
Welfert, B. D.
APPLIED MATHEMATICS AND COMPUTATION, 2008, 204 (02) : 647 - 657
[35] On quadrature formulae based on derivative collocation
Department of Mathematics and Statistics, Arizona State University, Tempe, AZ 85287-1804, United States
Appl. Math. Comput., 2 (647-657):
[36] Gauss Legendre Quadrature Formulae for Tetrahedra
Rathod, H. T.
Venkatesudu, B.
Nagaraja, K. V.
INTERNATIONAL JOURNAL FOR COMPUTATIONAL METHODS IN ENGINEERING SCIENCE & MECHANICS, 2005, 6 (03): : 179 - 186
[37] Generalized quadrature formulae for analytic functions
Milovanovic, Gradimir V.
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (17) : 8537 - 8551
[38] Interpolatory quadrature formulae with Chebyshev abscissae
Notaris, SE
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2001, 133 (1-2) : 507 - 517
[39] ON QUADRATURE FORMULAE INVOLVING VALUES OF DERIVATIVES
SEGETH, K
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1968, 48 (08): : T104 - &
[40] Quadrature formulae connected to σ-orthogonal polynomials
Milovanovic, GV
Spalevic, MM
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 140 (1-2) : 619 - 637

← 1 2 3 4 5 →