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Inverse Laplace transform for heavy-tailed distributions
Applied Mathematics and Computation, 2004Here the Laplace transform inversion on the real line of heavy-tailed (probability) density functions is considered. The method assumes as known a finite set of fractional moments drawn from real values of the Laplace transform by fractional calculus.
Tagliani, Aldo, Y. VELAZQUEZ
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Inversion of Laplace Transforms
2002The problem of the inversion of Laplace transforms is a special case of integral equations of the first kind on the infinite interval (0, ∞). In these equations the free term F(s) is the Laplace transform of an unknown function f(t), 0 < t < ∞, where s is the variable of the transform.
Prem K. Kythe, Pratap Puri
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Review of inverse Laplace transform algorithms for Laplace-space numerical approaches
Numerical Algorithms, 2012A boundary element method (BEM) simulation is used to compare the efficiency of numerical inverse Laplace transform strategies, considering general requirements of Laplace-space numerical approaches.
Kristopher Kuhlman
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arXiv.org
Eigenvalue transformations, which include solving time-dependent differential equations as a special case, have a wide range of applications in scientific and engineering computation.
Dong An +3 more
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Eigenvalue transformations, which include solving time-dependent differential equations as a special case, have a wide range of applications in scientific and engineering computation.
Dong An +3 more
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Numerical inversion of Laplace transform
Calcolo, 1967The paper describes a general method for the numerical calculation of Laplace's inverse transform of a given function. The general method is then specialized to two cases in which the computer is shown to be of great use. An appendix contains the solution of the collateral problem of the numerical derivation of a function.
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Real Variable Inverse Laplace Transform
2019The aim of this work is to provide a review of authors’ contributions to the field of the Laplace transform in the last 20 years.
Vu Kim Tuan, A. Boumenir, Dinh Thanh Duc
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Numerical Inversion of Laplace Transforms
2004In this chapter we present some procedures for numerically computing inverse Laplace transforms. Several methods based on different approaches have been proposed during the past fifty years. The numerical computation of an inverse Laplace transform is not readily done. It is a so-called ill-conditioned or ill-posed problem. In Chapter 6 we saw that the
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The Inverse Bilateral Laplace Transform
2009This chapter contains sections titled: The Inverse Laplace Transform The Linearity Property of the Inverse Laplace Transform The Partial Fraction Expansion Concluding Discussion and Summary This chapter contains sections titled: Problems ]]>
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Inversion of the Laplace transform
Inverse Problems, 1986The author gives an inversion formula for the Laplace transform \(F(p)=\int^{b}_{0}\exp (-pt)f(t)dt,\) \(p>0\), where \(b>0\) is a fixed number, by reducing the inversion problem to solving an Abel type integral equation.
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