On the numerical solution of Fredholm integral equations on unbounded intervals

DOI10.1016/S0377-0427(03)00453-9zbMath1032.65143MaRDI QIDQ1410871

C. Laurita, Giuseppe Mastroianni, Carmelina Frammartino

Publication date: 15 October 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

condition numberLagrange interpolationprojection methodFredholm integral equation of the second kind

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 (9)

A Nyström method for a class of Fredholm integral equations on the real semiaxis ⋮ Projection methods for Fredholm integral equations on the real semiaxis ⋮ A new quadrature scheme based on an extended Lagrange interpolation process ⋮ Sinc-Nyström methods for Fredholm integral equations of the second kind over infinite intervals ⋮ Numerical methods for some special Fredholm integral equations on the real line. ⋮ A Nyström method for Fredholm integral equations on the real line ⋮ Convergence analysis of Galerkin and multi-Galerkin methods on unbounded interval using Hermite polynomials ⋮ On the numerical solution of integral equations of the second kind over infinite intervals ⋮ Fourier approximation for integral equations on the real line

Cites Work

• Gaussian rules on unbounded intervals
• Condition numbers in numerical methods for Fredholm integral equations of the second kind
• Numerical approximation of weakly singular integrals on the half line
• Polynomial approximation on infinite intervals with weights having inner zeros
• Truncated Quadrature Rules Over $(0,\infty)$ and Nyström-Type Methods
• Approximation of the Hilbert Transform on the real line using Hermite zeros
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