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
Singular Perturbation Theory
Singular Perturbation 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 Singular Perturbation Theory write by Lindsay A. Skinner. This book was released on 2011-05-11. Singular Perturbation Theory available in PDF, EPUB and Kindle. This book is a rigorous presentation of the method of matched asymptotic expansions, the primary tool for attacking singular perturbation problems. A knowledge of conventional asymptotic analysis is assumed. The first chapter introduces the theory and is followed by four chapters of applications to ordinary differential equation problems of increasing complexity. Exercises are included as well as several Maple programs for computing the terms of the various asymptotic expansions that arise in solving the problems.
Singular Perturbations and Asymptotics
Singular Perturbations and Asymptotics - 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 Singular Perturbations and Asymptotics write by Richard E. Meyer. This book was released on 2014-05-10. Singular Perturbations and Asymptotics available in PDF, EPUB and Kindle. Mathematics Research Center Symposia and Advanced Seminar Series: Singular Perturbations and Asymptotics covers the lectures presented at an Advanced Seminar on Singular Perturbation and Asymptotics, held in Madison, Wisconsin on May 28-30, 1980 under the auspices of the Mathematics Research Center of the University of Wisconsin—Madison. The book focuses on the processes, methodologies, reactions, and principles involved in singular perturbations and asymptotics, including boundary value problems, equations, perturbations, water waves, and gas dynamics. The selection first elaborates on basic concepts in the analysis of singular perturbations, limit process expansions and approximate equations, and results on singularly perturbed boundary value problems. Discussions focus on quasi-linear and nonlinear problems, semilinear systems, water waves, expansion in gas dynamics, asymptotic matching principles, and classical perturbation analysis. The text then takes a look at multiple solutions of singularly perturbed systems in the conditionally stable case and singular perturbations, stochastic differential equations, and applications. The book ponders on connection problems in the parameterless case; general connection-formula problem for linear differential equations of the second order; and turning-point problems for ordinary differential equations of hydrodynamic type. Topics include the comparison equation method, boundary layer flows, compound matrix method, asymptotic solution of the connection-formula problem, and higher order equations. The selection is a valuable source of information for researchers interested in singular perturbations and asymptotics.
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.
Asymptotic Analysis of Singular Perturbations
Asymptotic Analysis of 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 Asymptotic Analysis of Singular Perturbations write by W. Eckhaus. This book was released on 2011-08-30. Asymptotic Analysis of Singular Perturbations available in PDF, EPUB and Kindle. Asymptotic Analysis of Singular Perturbations
