Asymptotic Methods And Singular Perturbations
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Asymptotic Methods And Singular Perturbations
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Author : Robert E. O'Malley
language : en
Publisher: American Mathematical Soc.
Release Date : 1976
Asymptotic Methods And Singular Perturbations written by Robert E. O'Malley and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Mathematics categories.
Introduction To The General Theory Of Singular Perturbations
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Author : S. A. Lomov
language : en
Publisher: American Mathematical Soc.
Release Date :
Introduction To The General Theory Of Singular Perturbations written by S. A. Lomov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
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.
Asymptotic Methods And Singular Perturbations
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Author :
language : en
Publisher:
Release Date : 1976
Asymptotic Methods And Singular Perturbations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with categories.
The Boundary Function Method For Singular Perturbed Problems
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Author : Adelaida B. Vasil'eva
language : en
Publisher: SIAM
Release Date : 1995-01-01
The Boundary Function Method For Singular Perturbed Problems written by Adelaida B. Vasil'eva and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Mathematics categories.
This book is devoted solely to the boundary function method, which is one of the asymptotic methods.
Introduction To Asymptotic Methods
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Author : David Y. Gao
language : en
Publisher: CRC Press
Release Date : 2006-05-03
Introduction To Asymptotic Methods written by David Y. Gao and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-03 with Mathematics categories.
Among the theoretical methods for solving many problems of applied mathematics, physics, and technology, asymptotic methods often provide results that lead to obtaining more effective algorithms of numerical evaluation. Presenting the mathematical methods of perturbation theory, Introduction to Asymptotic Methods reviews the most important m
Introduction To Singular Perturbations
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Author : Robert E. Jr. O'Malley
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Introduction To Singular Perturbations written by Robert E. Jr. O'Malley and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Mathematics categories.
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 Perturbations
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Author : Elena Shchepakina
language : en
Publisher: Springer
Release Date : 2014-10-06
Singular Perturbations written by Elena Shchepakina and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-06 with Mathematics categories.
These lecture notes provide a fresh approach to investigating singularly perturbed systems using asymptotic and geometrical techniques. It gives many examples and step-by-step techniques, which will help beginners move to a more advanced level. Singularly perturbed systems appear naturally in the modelling of many processes that are characterized by slow and fast motions simultaneously, for example, in fluid dynamics and nonlinear mechanics. This book’s approach consists in separating out the slow motions of the system under investigation. The result is a reduced differential system of lesser order. However, it inherits the essential elements of the qualitative behaviour of the original system. Singular Perturbations differs from other literature on the subject due to its methods and wide range of applications. It is a valuable reference for specialists in the areas of applied mathematics, engineering, physics, biology, as well as advanced undergraduates for the earlier parts of the book, and graduate students for the later chapters.
Asymptotic Methods And Singular Perturbations
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Author : American Mathematical Society
language : en
Publisher:
Release Date : 1976
Asymptotic Methods And Singular Perturbations written by American Mathematical Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Asymptotic expansions categories.
Matched Asymptotic Expansions And Singular Perturbations
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Author :
language : en
Publisher: Elsevier
Release Date : 2011-08-26
Matched Asymptotic Expansions And Singular Perturbations written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-26 with Mathematics categories.
Matched Asymptotic Expansions and Singular Perturbations
Singular Perturbation Methods For Ordinary Differential Equations
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Author : Robert E., Jr. O'Malley
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Singular Perturbation Methods For Ordinary Differential Equations written by Robert E., Jr. O'Malley and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This book results from various lectures given in recent years. Early drafts were used for several single semester courses on singular perturbation meth ods given at Rensselaer, and a more complete version was used for a one year course at the Technische Universitat Wien. Some portions have been used for short lecture series at Universidad Central de Venezuela, West Vir ginia University, the University of Southern California, the University of California at Davis, East China Normal University, the University of Texas at Arlington, Universita di Padova, and the University of New Hampshire, among other places. As a result, I've obtained lots of valuable feedback from students and listeners, for which I am grateful. This writing continues a pattern. Earlier lectures at Bell Laboratories, at the University of Edin burgh and New York University, and at the Australian National University led to my earlier works (1968, 1974, and 1978). All seem to have been useful for the study of singular perturbations, and I hope the same will be true of this monograph. I've personally learned much from reading and analyzing the works of others, so I would especially encourage readers to treat this book as an introduction to a diverse and exciting literature. The topic coverage selected is personal and reflects my current opin ions. An attempt has been made to encourage a consistent method of ap proaching problems, largely through correcting outer limits in regions of rapid change. Formal proofs of correctness are not emphasized.