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Author: Institute for Computer Applications in Science and Engineering
Publisher:
ISBN:
Category :
Languages : en
Pages : 40
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Author: Institute for Computer Applications in Science and Engineering
Publisher:
ISBN:
Category :
Languages : en
Pages : 40
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Author: Eduard Harabetian
Publisher:
ISBN:
Category : Diffraction
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:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1390
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Book Description
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Author: P.A. Lagerstrom
Publisher: Springer Science & Business Media
ISBN: 1475719906
Category : Mathematics
Languages : en
Pages : 263
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Book Description
Content and Aims of this Book Earlier drafts of the manuscript of this book (James A. Boa was then coau thor) contained discussions of many methods and examples of singular perturba tion problems. The ambitious plans of covering a large number of topics were later abandoned in favor of the present goal: a thorough discussion of selected ideas and techniques used in the method of matched asymptotic expansions. Thus many problems and methods are not covered here: the method of av eraging and the related method of multiple scales are mentioned mainly to give reasons why they are not discussed further. Examples which required too sophis ticated and involved calculations, or advanced knowledge of a special field, are not treated; for instance, to the author's regret some very interesting applications to fluid mechanics had to be omitted for this reason. Artificial mathematical examples introduced to show some exotic or unexpected behavior are omitted, except when they are analytically simple and are needed to illustrate mathematical phenomena important for realistic problems. Problems of numerical analysis are not discussed.
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:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 284
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Author: F. Verhulst
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 254
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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 24
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Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 1244
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