Fast solution methods for Fredholm integral equations of the second kind

DOI10.1007/BF01386439zbMath0706.65143OpenAlexW2030716156MaRDI QIDQ918650

Lothar Reichel

Publication date: 1990

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133477

zbMATH Keywords

convergenceiterative schemeFredholm integral equations of the second kindpreconditionerNyström methodsmooth kernelfast solution methodChebyshev-Galerkin methodnon-smooth right-hand side

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05)

Related Items (12)

Nyström-Clenshaw-Curtis quadrature for integral equations with discontinuous kernels ⋮ Fast solution of a class of periodic pseudodifferential equations ⋮ A fast boundary element method for the two-dimensional Helmholtz equation ⋮ Multistep collocation method for Fredholm integral equations of the second kind ⋮ Analysis of multivariate Gegenbauer approximation in the hypercube ⋮ On using a modified Nyström method to solve the 2-D potential problem ⋮ A fast Nyström-Broyden solver by Chebyshev compression ⋮ Adaptive bivariate Chebyshev approximation ⋮ A parallel wavelet-based pricing procedure for Asian options ⋮ Option pricing, maturity randomization and distributed computing ⋮ A simple Taylor-series expansion method for a class of second kind integral equations ⋮ Fast solvers of integral equations of the second kind: quadrature methods

Uses Software

• NAG
• nag
• D05ABF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Zur angenäherten ganzrationalen Tschebyscheff-Approximation mit Hilfe trigonometrischer Interpolation
• Computational Methods for Integral Equations
• A Fast Galerkin Algorithm for Singular Integral Equations
• A set of modules for the solution of integral equations
• Multiple Grid Methods for the Solution of Fredholm Integral Equations of the Second Kind
• A Fast Method for the Solution of Fredholm Integral Equations
• The fast Fourier transform algorithm: Programming considerations in the calculation of sine, cosine and Laplace transforms

This page was built for publication: Fast solution methods for Fredholm integral equations of the second kind