Quadruple and octuple layer potentials in two dimensions. I: Analytical apparatus.

DOI10.1016/S1063-5203(03)00004-6zbMath1139.35397MaRDI QIDQ1873789

Petter Kolm, Shidong Jiang, Vladimir Rokhlin

Publication date: 27 May 2003

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

zbMATH Keywords

Laplace equationPotential theoryPseudo-differential operatorsHypersingular integral equations

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

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Cites Work

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• On integral equations of the first kind with logarithmic kernels
• Quadruple and octuple layer potentials in two dimensions. I: Analytical apparatus.
• High-Order Corrected Trapezoidal Quadrature Rules for Singular Functions
• Nonlinear Optimization, Quadrature, and Interpolation
• Multipole Translation Theory for the Three-Dimensional Laplace and Helmholtz Equations
• The application of integral equation methods to the numerical solution of some exterior boundary-value problems
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• Numerical quadratures for singular and hypersingular integrals
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