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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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Numerical Inversion of Laplace Transforms
1978There are many problems whose solution may be found in terms of a Laplace or Fourier transform, which is then too complicated for inversion using the techniques of complex analysis. In this section we discuss some of the methods which have been developed — and in some cases are still being developed — for the numerical evaluation of the Laplace ...
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Real Inversion of Laplace Transform
1995We propose a numerical method for the real inversion of a Laplace Transform based on a Fourier series expansion of the inverse function, including some kind of regularization.
D'AMORE, LUISA, MURLI, ALMERICO
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Optimal Parallel Algorithm of Fast Inverse Laplace Transform for Electromagnetic Analysis
IEEE Antennas and Wireless Propagation Letters, 2020Di Wu +2 more
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