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Transform methods for solving partial differential equations / Dean G. Duffy.
Author
Duffy, Dean G.
[Browse]
Format
Book
Language
English
Εdition
2nd ed.
Published/Created
Boca Raton : Chapman & Hall/CRC, ©2004.
Description
xvii, 708 p. : ill. ; 25 cm.
Availability
Available Online
SCI-TECHnetBASE
Taylor & Francis eBooks Complete
Copies in the Library
Location
Call Number
Status
Location Service
Notes
Lewis Library - Stacks
QA403.5 .D84 2004
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Details
Subject(s)
Fourier transformations
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Differential equations, Partial
—
Numerical solutions
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Summary note
Transform methods provide a bridge between the commonly used method of separation of variables and numerical techniques for solving linear partial differential equations. While in some ways similar to separation of variables, transform methods can be effective for a wider class of problems. Even when the inverse of the transform cannot be found analytically, numeric and asymptotic techniques now exist for their inversion, and because the problem retains some of its analytic aspect, one can gain greater physical insight than typically obtained from a purely numerical approach. This book illustrates the use of Laplace, Fourier, and Hankel transforms to solve partial differential equations encountered in science and engineering.
Bibliographic references
Includes bibliographical references and index.
Contents
1. The fundamentals
2. Methods involving single-valued laplace transforms
3. Methods involving single-valued fourier and hankel transforms
4. Methods involving multivalued laplace transforms
5. Methods involving multivalued fourier transforms
6. The joint transform method
7. The Wiener-Hopf technique.
Show 4 more Contents items
ISBN
1584884517 ((alk. paper))
9781584884514 ((alk. paper))
LCCN
2004049448
OCLC
55044706
Statement on language in description
Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage.
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Transform methods for solving partial differential equations / Dean G. Duffy.
id
99125283889206421
Transform methods for solving partial differential equations / Dean G. Duffy.
id
99123421123506421