Inversion of the Laplace Transform from the Real Axis Using an Adaptive Iterative Method

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) is continuous with (known) compact support. An adaptive iterative method and an adaptive stopping rule, which yield the convergenc...

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Bibliographic Details
Main Authors: Sapto W. Indratno, Alexander G. Ramm
Format: Article
Language:English
Published: Hindawi Limited 2009-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2009/898195