Journal ArticleDOI
Numerical inversion of Laplace transform
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An explicit formula for the inversion of the Laplace transform is derived in this article, and the formula permits the inverse to be readily evaluated numerically, which is the case of the inverse in this paper.Abstract:
An explicit formula for the inversion of the Laplace transform is derived The formula permits the inverse to be readily evaluated numericallyread more
Citations
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Journal ArticleDOI
Numerical Inversion of the Laplace Transform: A Survey and Comparison of Methods
Brian Davies,Brian Martin +1 more
TL;DR: In this paper, a large number of different methods for numerically inverting the Laplace transform are tested and evaluated according to the criteria of applicability to actual inversion problems, applicability of various types of functions, numerical accuracy, computational efficiency, and ease of programming and implementation.
Journal ArticleDOI
Exponential analysis in physical phenomena
Andrei A. Istratov,O. F. Vyvenko +1 more
TL;DR: In this paper, the authors discuss the fundamental mathematical limitations of exponential analysis, outlines the critical aspects of acquisition of exponential transients for subsequent analysis, and gives a comprehensive overview of numerical algorithms used in exponential analysis.
Journal ArticleDOI
Numerical inversion of Laplace transforms.: A useful tool for evaluation of chemical diffusion coefficients in ion-insertion electrodes investigated by PITT
TL;DR: In this article, the authors show that the value of chemical diffusion coefficient of lithium-ion evaluated by graphical processing techniques is often erroneous, and non-linear curve fitting is a better approach for accurate determination of thermodynamic, kinetic and diffusion parameters of ion-insertion electrodes from PITT data.
Journal ArticleDOI
A Unified Framework for Numerically Inverting Laplace Transforms
Joseph Abate,Ward Whitt +1 more
TL;DR: A framework for constructing algorithms to invert Laplace transforms numerically and it is shown that it can be advantageous to use different one-dimensional algorithms in the inner and outer loops.
Journal ArticleDOI
Transient thermal stress analysis of an edge crack in a functionally graded material
Zhi-He Jin,Glaucio H. Paulino +1 more
TL;DR: In this article, an edge crack in a strip of a functionally graded material (FGM) was studied under transient thermal loading conditions, where the FGM is assumed having constant Young's modulus and Poisson's ratio, but the thermal properties of the material vary along the thickness direction of the strip.
References
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Book
Numerical Inversion of the Laplace Transform: Applications to Biology, Economics Engineering, and Physics
TL;DR: Guidelines for the Calibration and Testing of EDM Instruments, South Africa and the Transvaal War Volume 8, Through the Air to the North Pole Or, the Wonderful Cruise of the Electric Monarch, Learn to Applique with Pat Sloan, Essays on the psychiatric dehumanization of man.
Related Papers (5)
Numerical Inversion of the Laplace Transform: A Survey and Comparison of Methods
Brian Davies,Brian Martin +1 more