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
collocation methodproduct integrationlogarithmic singularitygraded meshweakly singular integral operatorpiecewise polynomial approximationinterpolatory projectionalgebraic singularity
Numerical methods for integral equations (65R20) Theoretical approximation of solutions to integral equations (45L05)
Uses Software
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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