Regularization of the procedure for inverting the Laplace transform using quadrature formulas

DOI10.1134/S1063454122040136MaRDI QIDQ2688539

A. V. Lebedeva, V. M. Ryabov

Publication date: 3 March 2023

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 kindoscillation matrices

Mathematics Subject Classification ID

Numerical analysis (65-XX) Nontrigonometric harmonic analysis (42Cxx) Numerical analysis in abstract spaces (65Jxx)

Uses Software

• mftoolbox

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
• Functions of Matrices
• On the Condition of a Matrix Arising in the Numerical Inversion of the Laplace Transform

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