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A novel mollifier inversion scheme for the Laplace transform

✍ Scribed by T. Schuster

Publisher: John Wiley and Sons
Year: 2002
Weight: 92 KB
Volume: 1
Category: Article
ISSN: 1617-7061
DOI: 10.1002/1617-7061(200203)1:1<422::aid-pamm422>3.0.co;2-n

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✦ Synopsis

A novel mollifier inversion scheme for the Laplace transform

In this article we present a novel inversion method for the Laplace transform for non-equidistant scanning points applying the approximate inverse to this transform. The approximate inverse is a regularization technique for inverse problems based on evaluations of scalar products of the given data with so called reconstruction kernels. Each kernel solves a system of linear equations defined by the adjoint of the Laplace transform and dilatation invariant mollifiers, which are designed particularly for this operator. The paper includes numerical results.

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