A Nyström method for Fredholm integral equations on the real line

DOI10.1216/JIE-2011-23-2-253zbMath1219.65163MaRDI QIDQ548804

Giuseppe Mastroianni, Incoronata Notarangelo

Publication date: 30 June 2011

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

Full work available at URL: https://projecteuclid.org/euclid.jiea/1308577871

zbMATH Keywords

convergenceerror estimatesFredholm integral equationnumerical examplesHilbert transformNyström 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) Fredholm integral equations (45B05)

Related Items (5)

A Nyström method for a class of Fredholm integral equations on the real semiaxis ⋮ On Nyström and Product Integration Methods for Fredholm Integral Equations ⋮ A Nyström method for a class of Fredholm integral equations of the third kind on unbounded domains ⋮ An exclusive spectral computational approach based on quadratic orthoexponential polynomials for solving integro-differential equations with delays on the real line ⋮ Numerical treatment of a class of systems of Fredholm integral equations on the real line

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Cites Work

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• On the numerical solution of Fredholm integral equations on unbounded intervals
• Numerical methods for some special Fredholm integral equations on the real line.
• Ul'yanov and Nikol'skii-type inequalities
• Approximation of the Hilbert Transform on the Real Line Using Freud Weights
• A Lagrange-type projector on the real line
• The Numerical Solution of Integral Equations of the Second Kind
• Algorithm 726: ORTHPOL–a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules
• Approximation of the Hilbert Transform on the real line using Hermite zeros
• Calculation of Gauss Quadrature Rules
• Some Modified Matrix Eigenvalue Problems
• Projection Methods and Condition Numbers in Uniform Norm for Fredholm and Cauchy Singular Integral Equations
• Orthogonal polynomials for exponential weights
• Jackson and smoothness theorems for Freud weights in \(L_ p (0<p\leq\infty)\)

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