Laguerre polynomials and the inverse Laplace transform using discrete data
Analysis of PDEs
2015-05-13 v1
Abstract
We consider the problem of finding a function defined on 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.
Cite
@article{arxiv.0705.2825,
title = {Laguerre polynomials and the inverse Laplace transform using discrete data},
author = {Tran Ngoc Lien and Dang Duc Trong and Alain Pham Ngoc Dinh},
journal= {arXiv preprint arXiv:0705.2825},
year = {2015}
}