Numerical inversion of two-dimensional Laplace transforms -- Fourier series representation
type: Item
instance of: scholarly article
title: Numerical inversion of two-dimensional Laplace transforms -- Fourier series representation
zbMATH Open document ID: 0833.65141
DOI: 10.1016/0168-9274(95)00015-M
author: M. V. Moorthy
published in: Applied Numerical Mathematics
publication date: 1996-03-14T00:00:00Z
review text: The Laplace transform provides a powerful method for analyzing linear systems. It is heavily used in solving differential and integral equations. In a wide variety of applied problems, the solution requires the inversion of Laplace transforms involving numerous functions. Unfortunately, many problems of physical interest lead to Laplace transforms whose inverses are not readily expressed in terms of tabulated functions. Therefore, it is highly desirable to have methods for numerical inversion. In this paper an algorithm to numerically invert two-dimensional Laplace transforms is presented. This two-dimensional inverse Laplace transforms technique is an extension of the one-dimensional methods based on the representation of the inverse function in terms of Fourier series.
Mathematics Subject Classification ID: 65R10
Mathematics Subject Classification ID: 65R30
Mathematics Subject Classification ID: 44A10
zbMATH DE Number: 770318
zbMATH Keywords: orthogonal polynomials
zbMATH Keywords: Laplace transform
zbMATH Keywords: linear systems
zbMATH Keywords: numerical inversion
zbMATH Keywords: two-dimensional inverse Laplace transforms
zbMATH Keywords: Fourier series
reviewed by: G. Dimitriu
MaRDI profile type: Publication
cites work: Numerical Inversion of Laplace Transforms Using a Fourier Series Approximation
cites work: Q5725893
cites work: Numerical Inversion of Laplace Transforms by Relating Them to the Finite Fourier Cosine Transform
cites work: A method for the numerical inversion of Laplace transforms
cites work: Q5332373
cites work: Numerical Inversion of Laplace Transforms Using Laguerre Functions
Wikidata QID: Q127532884
full work available at URL: 0168-9274(95)00015-m
OpenAlex ID: W2016892808
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description: scientific article; zbMATH DE number 770318