Asymptotic Analysis of Singular Perturbations PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Asymptotic Analysis of Singular Perturbations PDF full book. Access full book title Asymptotic Analysis of Singular Perturbations by W. Eckhaus. Download full books in PDF and EPUB format.
Author: W. Eckhaus
Publisher: Elsevier
ISBN: 9780080875309
Category : Mathematics
Languages : en
Pages : 286
Get Book
Book Description
Asymptotic Analysis of Singular Perturbations
Author: W. Eckhaus
Publisher: Elsevier
ISBN: 9780080875309
Category : Mathematics
Languages : en
Pages : 286
Get Book
Book Description
Asymptotic Analysis of Singular Perturbations
Author:
Publisher: Elsevier
ISBN: 0080871178
Category : Mathematics
Languages : en
Pages : 144
Get Book
Book Description
Matched Asymptotic Expansions and Singular Perturbations
Author: Takahiro Kawai
Publisher: American Mathematical Soc.
ISBN: 9780821835470
Category : Mathematics
Languages : en
Pages : 148
Get Book
Book Description
The topic of this book is the study of singular perturbations of ordinary differential equations, i.e., perturbations that represent solutions as asymptotic series rather than as analytic functions in a perturbation parameter. The main method used is the so-called WKB (Wentzel-Kramers-Brillouin) method, originally invented for the study of quantum-mechanical systems. The authors describe in detail the WKB method and its applications to the study of monodromy problems for Fuchsian differential equations and to the analysis of Painleve functions. This volume is suitable for graduate students and researchers interested in differential equations and special functions.
Author: Desineni S. Naidu
Publisher: IET
ISBN: 9780863411076
Category : Technology & Engineering
Languages : en
Pages : 314
Get Book
Book Description
This book presents the twin topics of singular perturbation methods and time scale analysis to problems in systems and control. The heart of the book is the singularly perturbed optimal control systems, which are notorious for demanding excessive computational costs. The book addresses both continuous control systems (described by differential equations) and discrete control systems (characterised by difference equations).
Author: S. A. Lomov
Publisher: American Mathematical Soc.
ISBN: 9780821897416
Category : Mathematics
Languages : en
Pages : 402
Get Book
Book Description
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.
Author: Lindsay A. Skinner
Publisher: Springer Science & Business Media
ISBN: 1441999582
Category : Mathematics
Languages : en
Pages : 95
Get Book
Book Description
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.
Author: Petar V. Kokotovic
Publisher: Springer
ISBN:
Category : Language Arts & Disciplines
Languages : en
Pages : 432
Get Book
Book Description
Author: Gung-Min Gie
Publisher: Springer
ISBN: 3030006387
Category : Mathematics
Languages : en
Pages : 412
Get Book
Book Description
Singular perturbations occur when a small coefficient affects the highest order derivatives in a system of partial differential equations. From the physical point of view singular perturbations generate in the system under consideration thin layers located often but not always at the boundary of the domains that are called boundary layers or internal layers if the layer is located inside the domain. Important physical phenomena occur in boundary layers. The most common boundary layers appear in fluid mechanics, e.g., the flow of air around an airfoil or a whole airplane, or the flow of air around a car. Also in many instances in geophysical fluid mechanics, like the interface of air and earth, or air and ocean. This self-contained monograph is devoted to the study of certain classes of singular perturbation problems mostly related to thermic, fluid mechanics and optics and where mostly elliptic or parabolic equations in a bounded domain are considered. This book is a fairly unique resource regarding the rigorous mathematical treatment of boundary layer problems. The explicit methodology developed in this book extends in many different directions the concept of correctors initially introduced by J. L. Lions, and in particular the lower- and higher-order error estimates of asymptotic expansions are obtained in the setting of functional analysis. The review of differential geometry and treatment of boundary layers in a curved domain is an additional strength of this book. In the context of fluid mechanics, the outstanding open problem of the vanishing viscosity limit of the Navier-Stokes equations is investigated in this book and solved for a number of particular, but physically relevant cases. This book will serve as a unique resource for those studying singular perturbations and boundary layer problems at the advanced graduate level in mathematics or applied mathematics and may be useful for practitioners in other related fields in science and engineering such as aerodynamics, fluid mechanics, geophysical fluid mechanics, acoustics and optics.
Author: W. Eckhaus
Publisher: Springer
ISBN: 3540393323
Category : Mathematics
Languages : en
Pages : 371
Get Book
Book Description
Author: Richard E. Meyer
Publisher: Academic Press
ISBN: 1483264572
Category : Mathematics
Languages : en
Pages : 418
Get Book
Book Description
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.
