On the properties of some inversion methods of the Laplace transform

DOI10.1134/S1063454123010089MaRDI QIDQ6040313

A. V. Lebedeva, V. M. Ryabov

Publication date: 25 May 2023

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

zbMATH Keywords

Laplace transformquadrature formulasregularization methodill-posed problemsill-conditioned problemssystem of linear algebraic equationsintegral equations of first kindLaplace-transform inversion

Mathematics Subject Classification ID

Numerical analysis (65-XX) Numerical methods for integral equations, integral transforms (65Rxx) Nontrigonometric harmonic analysis (42Cxx)

Cites Work

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• On integration contour deformation in a Laplace transform inversion formula
• Numerical inversion of the Laplace transform: a survey and comparison of methods
• Series in Faber polynomials and several generalizations
• Evaluation of jumps of originals by its transforms using quadrature formulas
• Numerical methods for Laplace transform inversion
• On regularization of the solution of integral equations of the first kind using quadrature formulas
• Method of moments in the problem of inversion of the Laplace transform and its regularization

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