Matched Asymptotic Expansions
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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
Matched Asymptotic Expansions In Reaction Diffusion Theory
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Author : J.A. Leach
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Matched Asymptotic Expansions In Reaction Diffusion Theory written by J.A. Leach 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 volume contains a wealth of results and methodologies applicable to a wide range of problems arising in reaction-diffusion theory. It can be viewed both as a handbook, and as a detailed description of the methodology. The authors present new methods based on matched asymptotic expansions.
Matching Of Asymptotic Expansions Of Solutions Of Boundary Value Problems
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Author : A. M. Ilʹin A. M. Il'in
language : en
Publisher: American Mathematical Soc.
Release Date : 1992
Matching Of Asymptotic Expansions Of Solutions Of Boundary Value Problems written by A. M. Ilʹin A. M. Il'in 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 1992 with Asymptotic expansions categories.
Asymptotic Analysis And Boundary Layers
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Author : Jean Cousteix
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-03-22
Asymptotic Analysis And Boundary Layers written by Jean Cousteix 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 2007-03-22 with Science categories.
This book presents a new method of asymptotic analysis of boundary-layer problems, the Successive Complementary Expansion Method (SCEM). The first part is devoted to a general presentation of the tools of asymptotic analysis. It gives the keys to understand a boundary-layer problem and explains the methods to construct an approximation. The second part is devoted to SCEM and its applications in fluid mechanics, including external and internal flows.
Perturbation Methods
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Author : E. J. Hinch
language : en
Publisher: Cambridge University Press
Release Date : 1991-10-25
Perturbation Methods written by E. J. Hinch and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-10-25 with Mathematics categories.
A textbook presenting the theory and underlying techniques of perturbation methods in a manner suitable for senior undergraduates from a broad range of disciplines.
Matched Asymptotic Expansions
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Author : P.A. Lagerstrom
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Matched Asymptotic Expansions written by P.A. Lagerstrom 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 2013-03-09 with Mathematics categories.
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 Methods For Relaxation Oscillations And Applications
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Author : Johan Grasman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Asymptotic Methods For Relaxation Oscillations And Applications written by Johan Grasman 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 Science categories.
In various fields of science, notably in physics and biology, one is con fronted with periodic phenomena having a remarkable temporal structure: it is as if certain systems are periodically reset in an initial state. A paper of Van der Pol in the Philosophical Magazine of 1926 started up the investigation of this highly nonlinear type of oscillation for which Van der Pol coined the name "relaxation oscillation". The study of relaxation oscillations requires a mathematical analysis which differs strongly from the well-known theory of almost linear oscillations. In this monograph the method of matched asymptotic expansions is employed to approximate the periodic orbit of a relaxation oscillator. As an introduction, in chapter 2 the asymptotic analysis of Van der Pol's equation is carried out in all detail. The problem exhibits all features characteristic for a relaxation oscillation. From this case study one may learn how to handle other or more generally formulated relaxation oscillations. In the survey special attention is given to biological and chemical relaxation oscillators. In chapter 2 a general definition of a relaxation oscillation is formulated.
Introduction To Perturbation Methods
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Author : Mark H. Holmes
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Introduction To Perturbation Methods written by Mark H. Holmes 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 2013-12-01 with Mathematics categories.
This book is an introductory graduate text dealing with many of the perturbation methods currently used by applied mathematicians, scientists, and engineers. The author has based his book on a graduate course he has taught several times over the last ten years to students in applied mathematics, engineering sciences, and physics. The only prerequisite for the course is a background in differential equations. Each chapter begins with an introductory development involving ordinary differential equations. The book covers traditional topics, such as boundary layers and multiple scales. However, it also contains material arising from current research interest. This includes homogenization, slender body theory, symbolic computing, and discrete equations. One of the more important features of this book is contained in the exercises. Many are derived from problems of up- to-date research and are from a wide range of application areas.
Perturbation Methods In Fluid Mechanics
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Author : Milton Van Dyke
language : en
Publisher: Parabolic Press, Incorporated
Release Date : 1975
Perturbation Methods In Fluid Mechanics written by Milton Van Dyke and has been published by Parabolic Press, Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Science categories.
Matched Asymptotic Expansions To Similarity Solutions Of Shock Diffraction
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Author : Institute for Computer Applications in Science and Engineering
language : en
Publisher:
Release Date : 1985
Matched Asymptotic Expansions To Similarity Solutions Of Shock Diffraction written by Institute for Computer Applications in Science and Engineering and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.