Laguerre polynomials and the inverse Laplace transform using discrete data
arXiv:0705.2825 · doi:10.1016/j.jmaa.2007.04.066
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.
14 pages