High-resolution exponential analysis via regularized numerical inversion of Laplace transforms

DOI10.1016/j.jcp.2004.02.017zbMath1057.65100OpenAlexW2028453333MaRDI QIDQ1883501

V. V. Kryzhniy

Publication date: 12 October 2004

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2004.02.017

zbMATH Keywords

Laplace transformnumerical examplesinverse Laplace transformationRegularizationNumerical inversionExponential analysis

Mathematics Subject Classification ID

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

Related Items (3)

High-resolution exponential analysis via regularized numerical inversion of Laplace transforms ⋮ Rethinking the ill-posedness of the spectral function reconstruction -- why is it fundamentally hard and how artificial neural networks can help ⋮ A continuous-time semi-markov bayesian belief network model for availability measure estimation of fault tolerant systems

Uses Software

• UNCMND
• InvertLT
• pchip
• Algorithm 368

Cites Work

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• Regularized inversion of noisy Laplace transforms
• On spline regularized inversion of noisy Laplace transforms
• High-resolution exponential analysis via regularized numerical inversion of Laplace transforms
• On the numerical inversion of the Laplace transform for nuclear magnetic resonance relaxometry
• Regularization of a Fourier series method for the Laplace transform inversion with real data
• On the recovery and resolution of exponential relaxation rates from experimental data: a singular-value analysis of the Laplace transform inversion in the presence of noise
• On the regularized inversion of the Laplace transform
• A Regularization Method for the Numerical Inversion of the Laplace Transform
• Direct regularization of the inversion of real-valued Laplace transforms
• Regularized inversion of integral transformations of Mellin convolution type
• On the recovery and resolution of exponential relaxational rates from experimental data: Laplace transform inversions in weighted spaces

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