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arXiv · 0705.2825

Laguerre polynomials and the inverse Laplace transform using discrete data

Tran Ngoc Lien·Dang Duc Trong·Alain Pham Ngoc Dinh
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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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Tran Ngoc Lien, Dang Duc Trong, Alain Pham Ngoc Dinh. 2007-05-19. Laguerre polynomials and the inverse Laplace transform using discrete data. https://doi.org/10.1016/j.jmaa.2007.04.066

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