Results 21 to 30 of about 7,891,501 (248)
Numerical quadrature methods for singular and nearly singular integrals [PDF]
, 2001 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis is concerned with the development, design, and analysis of simple and efficient numerical quadrature methods for integrals on finite intervals ...
Chunrungsikul, Sumlearng
core +7 more sources
The evaluation of cauchy principal value integrals in the boundary element method—a review
Mathematical and Computer Modelling, 1991 The concept of the Cauchy principle value (CPV) integral \(\oint^{b}_{a}g(x)dx:=\lim_{\epsilon \to 0^+}[\int^{s- \epsilon}_{a}g(x)dx+\int^{b}_{s+\epsilon}g(x)dx]\) and its relationship to the boundary integral equations from boundary element methods are surveyed. The evaluation of CPV integrals can be classified as indirect or direct approaches.
GUIGGIANI, MASSIMO
openaire +2 more sources
Noninterpolatory integration rules for Cauchy principal value integrals [PDF]
Mathematics of Computation, 1989 Let w ( x ) w(x)
Rabinowitz, P., Lubinsky, D. S.
openaire +2 more sources
Principal values for the Cauchy integral and rectifiability [PDF]
Proceedings of the American Mathematical Society, 2000 We give a geometric characterization of those positive finite measures μ \mu
openaire +2 more sources
Extrapolation Algorithm for Computing Multiple Cauchy Principal Value Integrals [PDF]
Mathematical Problems in Engineering, 2020 In this paper, the computation of multiple (including two dimensional and three dimensional) Cauchy principal integral with generalized composite rectangle rule was discussed, with the density function approximated by the middle rectangle rule, while the singular kernel was analytically calculated.
Jin Li, Yongling Cheng
openaire +1 more source
Further convergence results for two quadrature rules for Cauchy type principal value integrals [PDF]
, 1982 summary:New convergence and rate-of-convergence results are established for two well-known quadrature rules for the numerical evaluation of Cauchy type principal value integrals along a finite interval, namely the Gauss quadrature rule and a similar ...
Ioakimidis, Nikolaos I.
core +1 more source
On integral equations with Weakly Singular kernel by using Taylor series and Legendre polynomials
Open Physics, 2015 This paper is concerned with the numerical solution for a class of weakly singular Fredholm integral equations of the second kind. The Taylor series of the unknown function, is used to remove the singularity and the truncated Taylor series to second ...
Babolian Esmail +4 more
doaj +1 more source
Journal of Numerical Analysis and Approximation Theory, 1983 It is shown how the construction of Gaussian quadrature rules for Cauchy type principal value integrals, as well as for finite-part integrals with an algebraic singularity, can be based on the theory of Gaussian quadrature rules for ordinary integrals ...
N. I. Ioakimidis
doaj +2 more sources
International Journal of Mathematics and Mathematical Sciences, 1983 A numerical technique, first reported in 1979 in refs.[1] and [2], for the numerical evaluation of two-dimensional Cauchy-type principal-value integrals, is extended in this paper to include several cubature formlas of the Radau and Lobatto types.
P. S. Theocaris
doaj +1 more source
Generalized noninterpolatory rules for Cauchy principal value integrals [PDF]
Mathematics of Computation, 1990 Consider the Cauchy principal value integral \[ I ( k f ;
openaire +1 more source