Numerical regularization of a real inversion formula based on the Laplace transform's eigenfunction expansion of the inverse function

DOI10.1088/0266-5611/23/2/015zbMath1122.65128OpenAlexW2042961395MaRDI QIDQ3435909

Almerico Murli, Ardelio Galletti, Luisa D'Amore, Salvatore Cuomo

Publication date: 7 May 2007

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/23/2/015

zbMATH Keywords

regularization error bound eigenfunction expansion real inversion formula inverse Laplace function Laplace transform's eigenfunction

Mathematics Subject Classification ID

Laplace transform (44A10) Numerical methods for integral transforms (65R10) Numerical methods for ill-posed problems for integral equations (65R30)

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Quality assurance of Gaver’s formula for multi-precision Laplace transform inversion in real case ⋮ On the use of Laplace transform inversion for reconstruction of relaxation spectra ⋮ Piecewise Hermite interpolation via barycentric coordinates ⋮ Computational error bounds for Laplace transform inversion based on smoothing splines ⋮ Laplace transform inversion using Bernstein operational matrix of integration and its application to differential and integral equations ⋮ A class of piecewise interpolating functions based on barycentric coordinates ⋮ Remarks on numerical algorithms for computing the inverse Laplace transform ⋮ Inversion of the Laplace transform from the real axis using an adaptive iterative method ⋮ A note on domain decomposition approaches for solving 3D variational data assimilation models ⋮ Algorithm 946

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