On comparison of spline regularization with exponential sampling method for Laplace transform inversion

DOI10.1016/0010-4655(95)00026-CzbMath0888.65136MaRDI QIDQ1378190

J. Ning

Publication date: 8 February 1998

Published in: Computer Physics Communications (Search for Journal in Brave)

zbMATH Keywords

comparisonLaplace transformill-posed problemtest examplesspline regularization methodexponential sampling methodfirst kind convolution integral equation

Mathematics Subject Classification ID

Laplace transform (44A10) Numerical methods for integral transforms (65R10) Numerical methods for ill-posed problems for integral equations (65R30) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (3)

Laplace transform inversion using Bernstein operational matrix of integration and its application to differential and integral equations ⋮ Numerical inverse Laplace transform for solving a class of fractional differential equations ⋮ Analytical and numerical inversion of the Laplace-Carson transform by a differential method

Cites Work

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• A class of integrable conformally self-dual metrics
• A criterion for the choice of a sampling parameter in the problem of Laplace transform inversion
• Exponential-sampling method for Laplace and other dilationally invariant transforms: I. Singular-system analysis
• Exponential-sampling method for Laplace and other dilationally invariant transforms: II. Examples in photon correlation spectroscopy and Fraunhofer diffraction

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