A version of the projection-iterative method for the solution of Fredholm integral equations of the second kind

DOI10.1007/s11253-018-1543-7zbMath1432.65194OpenAlexW2902791854MaRDI QIDQ2274561

V. A. Feruk

Publication date: 20 September 2019

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-018-1543-7

zbMATH Keywords

Fredholm integral equationsAlpert's multiwavelets

Mathematics Subject Classification ID

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

Cites Work

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• Generalized inverse operators and Fredholm boundary-value problems. Translated from the Russian by P. V. Malyshev
• The Petrov-Galerkin method for second kind integral equations. II: Multiwavelet schemes
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• Wavelet applications to the Petrov--Galerkin method for Hammerstein equations
• Information complexity of multivariate Fredholm integral equations in Sobolev classes
• Iteration methods for Fredholm integral equations of the second kind based on spline quasi-interpolants
• Weakly perturbed integral equations
• Using the WPG method for solving integral equations of the second kind
• Nyström methods for Fredholm integral equations using equispaced points
• Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
• The Numerical Solution of Integral Equations of the Second Kind
• A Class of Bases in $L^2$ for the Sparse Representation of Integral Operators
• The Petrov--Galerkin and Iterated Petrov--Galerkin Methods for Second-Kind Integral Equations

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