On the numerical solution of hypersingular and singular integral equations on the circle

DOI10.1023/B:DIEQ.0000011292.27341.04zbMath1070.65137OpenAlexW2067819853MaRDI QIDQ1778165

I. K. Lifanov, L. N. Poltavskii

Publication date: 17 June 2005

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:dieq.0000011292.27341.04

zbMATH Keywords

interpolationstabilityconvergencesingular integral equationsquadrature formulasLaplace equationNeumann problemhypersingular integral equationsdouble layer potentialgas dynamicsWeyl operatorsSobolev-Slobodetskii spacesfractional integration and differentiationmethod of discrete vortex pairsspaces of fractional quotients of periodic functions

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Gas dynamics (general theory) (76N15) Fractional derivatives and integrals (26A33) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical quadrature and cubature formulas (65D32) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (5)

Error expansion of classical mid-point rectangle rule for computing Cauchy principal value integrals on an interval ⋮ Extrapolation methods to compute hypersingular integral in boundary element methods ⋮ Compact numerical quadrature formulas for hypersingular integrals and integral equations ⋮ Analysis of errors in some recent numerical quadrature formulas for periodic singular and hypersingular integrals via regularization ⋮ Simpson's rule to approximate Hilbert integral and its application

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