Matched Asymptotic Expansions and Singular Perturbations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Matched Asymptotic Expansions and Singular Perturbations write by . This book was released on 2011-08-26. Matched Asymptotic Expansions and Singular Perturbations available in PDF, EPUB and Kindle. Matched Asymptotic Expansions and Singular Perturbations
Matched Asymptotic Expansions
Matched Asymptotic Expansions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Matched Asymptotic Expansions write by P.A. Lagerstrom. This book was released on 2013-03-09. Matched Asymptotic Expansions available in PDF, EPUB and Kindle. 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.
Composite Asymptotic Expansions
Composite Asymptotic Expansions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Composite Asymptotic Expansions write by Augustin Fruchard. This book was released on 2012-12-15. Composite Asymptotic Expansions available in PDF, EPUB and Kindle. 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.
Matched Asymptotic Expansions in Reaction-Diffusion Theory
Matched Asymptotic Expansions in Reaction-Diffusion Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Matched Asymptotic Expansions in Reaction-Diffusion Theory write by J.A. Leach. This book was released on 2012-12-06. Matched Asymptotic Expansions in Reaction-Diffusion Theory available in PDF, EPUB and Kindle. This volume contains a wealth of results and methodologies applicable to a wide range of problems arising in reaction-diffusion theory. It can be viewed both as a handbook, and as a detailed description of the methodology. The authors present new methods based on matched asymptotic expansions.
Asymptotic Expansions for Ordinary Differential Equations
Asymptotic Expansions for Ordinary Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Asymptotic Expansions for Ordinary Differential Equations write by Wolfgang Wasow. This book was released on 2018-03-21. Asymptotic Expansions for Ordinary Differential Equations available in PDF, EPUB and Kindle. 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.
