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

Joint Authors

Indratno, Sapto W.
Ramm, Alexander G.

Source

International Journal of Mathematics and Mathematical Sciences

Issue

Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-38, 38 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2010-01-05

Country of Publication

Egypt

No. of Pages

38

Main Subjects

Mathematics

Abstract EN

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 convergence of the approximate solution to f(t), are proposed in this paper.

American Psychological Association (APA)

Indratno, Sapto W.& Ramm, Alexander G.. 2010. Inversion of the Laplace Transform from the Real Axis Using an Adaptive Iterative Method. International Journal of Mathematics and Mathematical Sciences،Vol. 2009, no. 2009, pp.1-38.
https://search.emarefa.net/detail/BIM-506451

Modern Language Association (MLA)

Indratno, Sapto W.& Ramm, Alexander G.. Inversion of the Laplace Transform from the Real Axis Using an Adaptive Iterative Method. International Journal of Mathematics and Mathematical Sciences No. 2009 (2009), pp.1-38.
https://search.emarefa.net/detail/BIM-506451

American Medical Association (AMA)

Indratno, Sapto W.& Ramm, Alexander G.. Inversion of the Laplace Transform from the Real Axis Using an Adaptive Iterative Method. International Journal of Mathematics and Mathematical Sciences. 2010. Vol. 2009, no. 2009, pp.1-38.
https://search.emarefa.net/detail/BIM-506451

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-506451