Asymptotic Expansions: Their Derivation and Interpretation PDF Download
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Author: Robert B. Dingle
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 556
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Book Description
Author: Robert B. Dingle
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 556
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Book Description
Author: R. B. Dingle
Publisher:
ISBN:
Category : Asymptotic expansions
Languages : en
Pages : 521
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Book Description
Author: E. T. Copson
Publisher: Cambridge University Press
ISBN: 9780521604826
Category : Mathematics
Languages : en
Pages : 136
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Book Description
Asymptotic representation of a function os of great importance in many branches of pure and applied mathematics.
Author: Wolfgang Wasow
Publisher: Courier Dover Publications
ISBN: 0486824586
Category : Mathematics
Languages : en
Pages : 385
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Book Description
This outstanding text concentrates on the mathematical ideas underlying various asymptotic methods for ordinary differential equations that lead to full, infinite expansions. "A book of great value." — Mathematical Reviews. 1976 revised edition.
Author: Norman Bleistein
Publisher: Courier Corporation
ISBN: 0486650820
Category : Mathematics
Languages : en
Pages : 453
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Book Description
Excellent introductory text, written by two experts, presents a coherent and systematic view of principles and methods. Topics include integration by parts, Watson's lemma, LaPlace's method, stationary phase, and steepest descents. Additional subjects include the Mellin transform method and less elementary aspects of the method of steepest descents. 1975 edition.
Author: S. Jorna
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author:
Publisher: Elsevier
ISBN: 0080871178
Category : Mathematics
Languages : en
Pages : 153
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Book Description
Matched Asymptotic Expansions and Singular Perturbations
Author: Ovidiu Costin
Publisher: CRC Press
ISBN: 1420070320
Category : Mathematics
Languages : en
Pages : 266
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Book Description
Incorporating substantial developments from the last thirty years into one resource, Asymptotics and Borel Summability provides a self-contained introduction to asymptotic analysis with special emphasis on topics not covered in traditional asymptotics books. The author explains basic ideas, concepts, and methods of generalized Borel summability, tr
Author: Augustin Fruchard
Publisher: Springer
ISBN: 3642340350
Category : Mathematics
Languages : en
Pages : 169
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Book Description
The purpose of these lecture notes is to develop a theory of asymptotic expansions for functions involving two variables, while at the same time using functions involving one variable and functions of the quotient of these two variables. Such composite asymptotic expansions (CAsEs) are particularly well-suited to describing solutions of singularly perturbed ordinary differential equations near turning points. CAsEs imply inner and outer expansions near turning points. Thus our approach is closely related to the method of matched asymptotic expansions. CAsEs offer two unique advantages, however. First, they provide uniform expansions near a turning point and away from it. Second, a Gevrey version of CAsEs is available and detailed in the lecture notes. Three problems are presented in which CAsEs are useful. The first application concerns canard solutions near a multiple turning point. The second application concerns so-called non-smooth or angular canard solutions. Finally an Ackerberg-O’Malley resonance problem is solved.
Author: Johannes Gualtherus Corput
Publisher:
ISBN:
Category : Asymptotic expansions
Languages : en
Pages : 518
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