Numerical methods of computation of singular and hypersingular integrals

DOI10.1155/S0161171201010924zbMath1029.65020MaRDI QIDQ1599779

Ilia V. Boikov

Publication date: 21 January 2004

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/50530

zbMATH Keywords

numerical integrationquadrature formulasunbounded domainssingular integralssurvey paperbest constantshypersingular integralsoptimal formulas

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (11)

On one method of constructing quadrature formulas for computing hypersingular integrals ⋮ On a method of calculation of hypersingular integrals ⋮ The practical Gauss type rules for Hadamard finite-part integrals using Puiseux expansions ⋮ Overcoming instability in evaluation of generalized hypergeometric integrals in the case of crowding of singular points ⋮ An approximate method for evaluating hypersingular integrals ⋮ An automatic quadrature schemes and error estimates for semibounded weighted Hadamard type hypersingular integrals ⋮ Fundamental solutions for thick sandwich plates ⋮ Construction of generalized Gauss-Jacobi quadratures by means of computer algebra methods ⋮ The Cauchy principal value and the Hadamard finite part integral as values of absolutely convergent integrals ⋮ Accuracy optimal methods for evaluating hypersingular integrals ⋮ Euler-Maclaurin expansions and approximations of hypersingular integrals

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