Method of moments in the problem of inversion of the Laplace transform and its regularization

DOI10.1134/S1063454122010071zbMath1502.65276MaRDI QIDQ2674726

V. M. Ryabov, A. V. Lebedeva

Publication date: 14 September 2022

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

zbMATH Keywords

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

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Laplace transform (44A10) Numerical methods for ill-posed problems for integral equations (65R30)

Related Items (1)

On the properties of some inversion methods of the Laplace transform

Cites Work

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• Series in Faber polynomials and several generalizations
• Numerical solution of systems of linear algebraic equations with ill-conditioned matrices
• Numerical methods for Laplace transform inversion
• On regularization of the solution of integral equations of the first kind using quadrature formulas
• A new method of inversion of the Laplace transform
• On the regularized inversion of the Laplace transform
• On the Condition of a Matrix Arising in the Numerical Inversion of the Laplace Transform

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