Fast and accurate solvers for weakly singular integral equations

DOI10.1007/s11075-022-01376-xOpenAlexW4289524030WikidataQ114224261 ScholiaQ114224261MaRDI QIDQ2691896

Laurence Grammont, Rekha P. Kulkarni, Paulo B. Vasconcelos

Publication date: 30 March 2023

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-022-01376-x

zbMATH Keywords

collocation methodproduct integrationlogarithmic singularitygraded meshweakly singular integral operatorpiecewise polynomial approximationinterpolatory projectionalgebraic singularity

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Theoretical approximation of solutions to integral equations (45L05)

Uses Software

• Algorithm 876

Cites Work

• Numerical solutions for weakly singular Hammerstein equations and their superconvergence
• Singularity preserving Galerkin methods for weakly singular Fredholm integral equations
• Discrete modified projection method for Urysohn integral equations with smooth kernels
• Approximate solution of multivariable integral equations of the second kind
• Algorithm 876
• Piecewise Continuous Collocation for Integral Equations
• Product Integration for Weakly Singular Integral Equations
• A piecewise polynomial approximation to the solution of an integral equation with weakly singular kernel
• Galerkin Methods for Second Kind Integral Equations with Singularities
• The discrete collocation method for nonlinear integral equations
• The Numerical Solution of Integral Equations of the Second Kind
• A superconvergence result for solutions of compact operator equations
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