On the piecewise constant collocation method for multidimensional weakly singular integral equations

DOI10.1216/jiea/1181075714zbMath0767.65097OpenAlexW2040940154MaRDI QIDQ1208137

Gennadi Vainikko

Publication date: 16 May 1993

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181075714

zbMATH Keywords

convergence ratesmultidimensional weakly singular integral equationsalgorithms of optimal computational complexitycubature formula methodpiecewise constant collocation method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Cites Work

• Volume integrals for boundary element methods
• Iterative variants of the Nystrom method for the numerical solution of integral equations
• Collocation methods for two dimensional weakly singular integral equations
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