Publication Date

1992

Document Type

Dissertation/Thesis

First Advisor

Shaffer, John C., 1938-2017

Degree Name

M.S. (Master of Science)

Legacy Department

Department of Physics

LCSH

Transformations (Mathematics)

Abstract

An attempt was made to find a method for generating a useful analytic expression for the Laplace or inverse Laplace transform of a given set of data. The method attempted involved first fitting the data to Laguerre functions. In the process, computer algorithms for doing a Laguerre transform were found. However, the analytic expression for the Laplace transform that results from this method is not directly useful because it is usually hundreds of terms long. The Laguerre transform routines are comprehensive, including methods for estimating the number of Laguerre functions needed for the transform to be representative of the original data. The transform is considered representative of the original data if the inverse transform returns the original data within a small x2- Fourier transform methods are used in this estimate. The methods developed here for the Laguerre transform can be generalized to transforms using other recursively generated sets of orthogonal functions.

Comments

Includes bibliographical references (leaf 37)

Extent

x, 177 pages

Language

eng

Publisher

Northern Illinois University

Rights Statement

In Copyright

Rights Statement 2

NIU theses are protected by copyright. They may be viewed from Huskie Commons for any purpose, but reproduction or distribution in any format is prohibited without the written permission of the authors.

Media Type

Text

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