Accuracy optimal methods for evaluating hypersingular integrals

DOI10.1016/j.apnum.2008.08.004zbMath1179.65028OpenAlexW2022757125MaRDI QIDQ1015923

E. S. Ventsel, A. I. Boykova, Ilia V. Boikov

Publication date: 30 April 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2008.08.004

zbMATH Keywords

quadrature formulaCauchy principal value integralHadamard's finite part integralhypersinglar integral

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (6)

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 ⋮ A novel collocation method for numerical solution of hypersingular integral equation with singular right-hand function ⋮ The Cauchy principal value and the Hadamard finite part integral as values of absolutely convergent integrals ⋮ Euler-Maclaurin expansions and approximations of hypersingular integrals

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