Approximation Schemes for Singular Integrals and Their Application to Some Boundary Problems

DOI10.2478/CMAM-2004-0006zbMath1049.65020OpenAlexW2087570502MaRDI QIDQ4809788

D. G. Sanikidze, Manana Mirianashvili

Publication date: 31 August 2004

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/cmam-2004-0006

zbMATH Keywords

Dirichlet problemsingular integralnumerical examplesconformal mappingquadrature formulasintegral equation methodCauchy kernelLyapunov boundaries

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Boundary element methods for boundary value problems involving PDEs (65N38) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Schwarz-Christoffel-type mappings (30C30)

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