On regularization of the solution of integral equations of the first kind using quadrature formulas

DOI10.1134/S1063454121040129OpenAlexW4285355178WikidataQ113783707 ScholiaQ113783707MaRDI QIDQ2668895

V. M. Ryabov, A. V. Lebedeva

Publication date: 9 March 2022

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1063454121040129

zbMATH Keywords

condition numberregularization methodill-posed problemsill-conditioned problemssystem of linear algebraic equationsintegral equations of the first kind

Mathematics Subject Classification ID

Numerical linear algebra (65Fxx) Numerical analysis (65-XX) Numerical methods for integral equations, integral transforms (65Rxx)

Related Items (4)

Method of moments in the problem of inversion of the Laplace transform and its regularization ⋮ On the properties of some inversion methods of the Laplace transform ⋮ A method for solving the Fredholm integral equation of the first kind ⋮ Regularization of the procedure for inverting the Laplace transform using quadrature formulas

Cites Work

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• Numerical solution of systems of linear algebraic equations with ill-conditioned matrices
• Numerical methods for Laplace transform inversion
• On the regularized inversion of the Laplace transform

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