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 and Singular Perturbations
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
Introduction to the General Theory of Singular Perturbations
Introduction to the General Theory 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 Introduction to the General Theory of Singular Perturbations write by S. A. Lomov. This book was released on . Introduction to the General Theory of Singular Perturbations available in PDF, EPUB and Kindle. This book is aimed at researchers and students in physics, mathematics, and engineering. It contains the first systematic presentation of a general approach to the integration of singularly perturbed differential equations describing nonuniform transitions, such as the occurrence of a boundary layer, discontinuities, boundary effects and so on. The method of regularization of singular perturbations presented here can be applied to the asymptotic integration of systems of ordinary and partial differential equations.
Introduction to Singular Perturbations
Introduction to 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 Introduction to Singular Perturbations write by Robert E. Jr. O'Malley. This book was released on 2012-12-02. Introduction to Singular Perturbations available in PDF, EPUB and Kindle. Introduction to Singular Perturbations provides an overview of the fundamental techniques for obtaining asymptomatic solutions to boundary value problems. This text explores singular perturbation techniques, which are among the basic tools of several applied scientists. This book is organized into eight chapters, wherein Chapter 1 discusses the method of matched asymptomatic expansions, which has been frequently applied to several physical problems involving singular perturbations. Chapter 2 considers the nonlinear initial value problem to illustrate the regular perturbation method, and Chapter 3 explains how to construct asymptotic solutions for general linear equations. Chapter 4 discusses scalar equations and nonlinear system, whereas Chapters 5 and 6 explain the contrasts for initial value problems where the outer expansion cannot be determined without obtaining the initial values of the boundary layer correction. Chapters 7 and 8 deal with boundary value problem that arises in the study of adiabatic tubular chemical flow reactors with axial diffusion. This monograph is a valuable resource for applied mathematicians, engineers, researchers, students, and readers whose interests span a variety of fields.
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.
