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Condition: As New. Unread book in perfect condition.
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Composite Asymptotic Expansions (Lecture Notes in Mathematics, 2066)
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Composite Asymptotic Expansions
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Condition: New. pp. 176.
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Composite Asymptotic Expansions
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Composite Asymptotic Expansions
Language: English
Published by Springer, Springer Gabler, 2012
ISBN 10: 3642340342 ISBN 13: 9783642340345
Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.
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Taschenbuch. Condition: Neu. Composite Asymptotic Expansions | Augustin Fruchard (u. a.) | Taschenbuch | Lecture Notes in Mathematics | x | Englisch | 2012 | Springer | EAN 9783642340345 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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Condition: new. Questo è un articolo print on demand.
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Condition: New. Print on Demand pp. 176 21 Illus.
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Condition: New. PRINT ON DEMAND pp. 176.
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Composite Asymptotic Expansions
Language: English
Published by Springer Berlin Heidelberg, 2012
ISBN 10: 3642340342 ISBN 13: 9783642340345
Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Presents a comprehensive theory of infinite composite asymptotic expansions (CAsEs), an alternative to the method of matched asymptotic expansionsGeneralizes the classical theory of Gevrey asymptotic expansions to such CAsEs, thus establishing a new pow.
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Composite Asymptotic Expansions
Language: English
Published by Springer, Springer Gabler Dez 2012, 2012
ISBN 10: 3642340342 ISBN 13: 9783642340345
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 176 pp. Englisch.
