Asymptotic Analysis Of Singular Perturbations

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Asymptotic Analysis Of Singular Perturbations
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Author : W. Eckhaus
language : en
Publisher: Elsevier
Release Date : 2011-08-30
Asymptotic Analysis Of Singular Perturbations written by W. Eckhaus and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-30 with Mathematics categories.
Asymptotic Analysis of Singular Perturbations
Methods And Applications Of Singular Perturbations
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Author : Ferdinand Verhulst
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-04
Methods And Applications Of Singular Perturbations written by Ferdinand Verhulst 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 2006-06-04 with Mathematics categories.
Contains well-chosen examples and exercises A student-friendly introduction that follows a workbook type approach
Algebraic Analysis Of Singular Perturbation Theory
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Author : Takahiro Kawai
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Algebraic Analysis Of Singular Perturbation Theory written by Takahiro Kawai 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 2005 with Mathematics categories.
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.
Singular Perturbations And Asymptotic Analysis In Control Systems
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Author : Petar V. Kokotovic
language : en
Publisher: Springer
Release Date : 1987-02-27
Singular Perturbations And Asymptotic Analysis In Control Systems written by Petar V. Kokotovic and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-02-27 with Language Arts & Disciplines categories.
Singular Perturbation Theory
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Author : Lindsay A. Skinner
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-05-11
Singular Perturbation Theory written by Lindsay A. Skinner 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 2011-05-11 with Mathematics categories.
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.
Asymptotic Analysis Of Singular Perturbations
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Author : Wiktor Eckhaus
language : nl
Publisher:
Release Date : 1979
Asymptotic Analysis Of Singular Perturbations written by Wiktor Eckhaus and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.
Introduction To Singular Perturbations
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Author : Robert E. O'Malley
language : en
Publisher: Academic Press
Release Date : 1974-01-28
Introduction To Singular Perturbations written by Robert E. O'Malley and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-01-28 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.
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 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.