Numerical solution of the Fredholm integral equations of the first kind by using multi-projection methods

DOI10.1007/978-981-19-9307-7_50MaRDI QIDQ6629162

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Publication date: 29 October 2024

zbMATH Keywords

ill-posed problemsLegendre polynomialsTikhonov regularization methodFredholm integral equation of the first kindmulti-Galerkin methodArcangeli's discrepancy

Mathematics Subject Classification ID

Numerical analysis (65-XX)

Cites Work

• Title not available (Why is that?)
• Projected Tikhonov regularization method for Fredholm integral equations of the first kind
• Convergence of numerical solution of the Fredholm integral equation of the first kind with degenerate kernel
• Convergence analysis of a regularized degenerate kernel method for Fredholm integral equations of the first kind
• Discrepancy principles for Tikhonov regularization of ill-posed problems leading to optimal convergence rates
• Solving frontier problems of physics: the decomposition method
• A modified convergence analysis for solving Fredholm integral equations of the first kind
• Legendre spectral projection methods for Fredholm integral equations of first kind
• Legendre spectral multi-projection methods for Fredholm integral equations of the first kind
• A Variant of Projection-Regularization Method for Ill-Posed Linear Operator Equations
• Fast collocation methods for solving ill-posed integral equations of the first kind
• Solving Fredholm integral equations of the first kind by using wavelet bases
• Spectral Methods
• A fast multiscale Galerkin method for the first kind ill‐posed integral equations via Tikhonov regularization
• An introduction to the mathematical theory of inverse problems

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