Investigation of some hypersingular integral equations on the sphere

DOI10.1023/A:1013380501396zbMATH Open1018.65137MaRDI QIDQ1874787

E. V. Zakharov, P. I. Lifanov, Ivan K. Lifanov

Publication date: 25 May 2003

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

zbMATH Keywords

convergencespherical functionsnumerical experimentsspherequadrature formulasintegral equation methodNeumann problemhypersingular integral equationsLaplace and Helmholtz equationsspectral relations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Boundary element methods for boundary value problems involving PDEs (65N38) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items (4)

A hypergeometric integral with applications to the fundamental solution of Laplace's equation on hyperspheres ⋮ Hypersingular integral equations in diffraction problems on a cube ⋮ Title not available (Why is that?) ⋮ On a uniform approximation of a hypersingular integral equation on the torus

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