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Laguerre polynomials and the inverse Laplace transform using discrete data

Abstract : We consider the problem of finding a function defined on $(0,\infty)$ from a countable set of values of its Laplace transform. The problem is severely ill-posed. We shall use the expansion of the function in a series of Laguerre polynomials to convert the problem in an analytic interpolation problem. Then, using the coefficients of Lagrange polynomials we shall construct a stable approximation solution.
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https://hal.archives-ouvertes.fr/hal-00098062
Contributor : Alain Pham Ngoc Dinh <>
Submitted on : Saturday, May 19, 2007 - 2:06:23 PM
Last modification on : Tuesday, December 18, 2018 - 10:56:29 AM
Document(s) archivé(s) le : Friday, November 25, 2016 - 3:34:05 PM

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  • HAL Id : hal-00098062, version 4
  • ARXIV : 0705.2825

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Tran Ngoc Lien, Dang Duc Trong, Alain Pham Ngoc Dinh. Laguerre polynomials and the inverse Laplace transform using discrete data. Journal of Mathematical Analysis and Applications, Elsevier, 2008, 337, pp.1302-1314. ⟨hal-00098062v4⟩

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