Fast solvers of integral equations of the second kind: wavelet methods

DOI10.1016/j.jco.2004.07.002zbMath1071.65185OpenAlexW2070349581MaRDI QIDQ1772688

Andi Kivinukk, Jüri Lippus, Gennadi Vainikko

Publication date: 21 April 2005

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jco.2004.07.002

zbMATH Keywords

waveletsGalerkin methodFredholm integral equationsGMRESGauss methodfast solversreal line

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical methods for wavelets (65T60) Fredholm integral equations (45B05)

Related Items (11)

A wavelet method for solving singular integral equation of MHD ⋮ Approximating solutions of Fredholm integral equations via a general spline maximum entropy method ⋮ The Coiflet-Galerkin method for linear Volterra integral equations ⋮ Solving Volterra integral equations of the second kind by wavelet-Galerkin scheme ⋮ What is the complexity of periodic weakly singular integral equations? ⋮ Existence and uniqueness of nontrivial collocation solutions of implicitly linear homogeneous Volterra integral equations ⋮ Numerical solution of Fredholm integral equations of the second kind by using integral mean value theorem ⋮ FAST SOLVERS OF WEAKLY SINGULAR INTEGRAL EQUATIONS OF THE SECOND KIND ⋮ A Quasi-Fast Solver for Weakly Singular Integral Equations of the Second Kind ⋮ Fast solvers of integral equations of the second kind: quadrature methods ⋮ Exponential convergence for numerical solution of integral equations using radial basis functions

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