English

Inversion of the Laplace transform from the real axis using an adaptive iterative method

Numerical Analysis 2009-11-18 v3 Mathematical Physics math.MP

Abstract

In this paper a new method for inverting the Laplace transform from the real axis is formulated. This method is based on a quadrature formula. We assume that the unknown function f(t)f(t) is continuous with (known) compact support. An adaptive iterative method and an adaptive stopping rule, which yield the convergence of the approximate solution to f(t)f(t), are proposed in this paper.

Keywords

Cite

@article{arxiv.0910.3385,
  title  = {Inversion of the Laplace transform from the real axis using an adaptive iterative method},
  author = {Sapto W. Indratno and A. G. Ramm},
  journal= {arXiv preprint arXiv:0910.3385},
  year   = {2009}
}

Comments

38 pages, 12 figures

R2 v1 2026-06-21T13:59:50.751Z