Numerical treatment of a class of systems of Fredholm integral equations on the real line

DOI10.1090/S0025-5718-2013-02727-5zbMath1285.65087OpenAlexW2038845940MaRDI QIDQ2871183

Giuseppe Mastroianni, Maria Carmela De Bonis

Publication date: 22 January 2014

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-2013-02727-5

zbMATH Keywords

convergencesystem of Fredholm integral equationsGaussian quadrature method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Systems of nonsingular linear integral equations (45F05)

Related Items (5)

A product integration rule for hypersingular integrals on \((0,+\infty)\) ⋮ Nyström methods for approximating the solutions of an integral equation arising from a problem in mathematical biology ⋮ On the Hermite-Fejér interpolation based at the zeros of generalized Freud polynomials ⋮ Convergence analysis of Galerkin and multi-Galerkin methods on unbounded interval using Hermite polynomials ⋮ Error bounds for a Gauss-type quadrature rule to evaluate hypersingular integrals

Uses Software

• OrthogonalPolynomials

Cites Work

• A Nyström method for Fredholm integral equations on the real line
• Gaussian rules on unbounded intervals
• Polynomial approximation on infinite intervals with weights having inner zeros
• A Lagrange-type projector on the real line
• The Numerical Solution of Integral Equations of the Second Kind
• Truncated Quadrature Rules Over $(0,\infty)$ and Nyström-Type Methods
• Orthogonal polynomials for exponential weights
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