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Author : Leonid S. Frank
Publisher :
ISBN 13 :
Total Pages : 382 pages
Book Rating : 4.E/5 ( download)
Download or read book Singular Perturbations in Elasticity Theory written by Leonid S. Frank and published by . This book was released on 1997 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : L.S. Frank
Publisher : Elsevier
ISBN 13 : 0080875440
Total Pages : 581 pages
Book Rating : 4.0/5 (88 download)
Download or read book Singular Perturbations I written by L.S. Frank and published by Elsevier. This book was released on 1990-08-16 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singular perturbations, one of the central topics in asymptotic analysis, also play a special role in describing physical phenomena such as the propagation of waves in media in the presence of small energy dissipations or dispersions, the appearance of boundary or interior layers in fluid and gas dynamics, as well as in elasticity theory, semi-classical asymptotic approximations in quantum mechanics etc. Elliptic and coercive singular perturbations are of special interest for the asymptotic solution of problems which are characterized by boundary layer phenomena, e.g. the theory of thin buckling plates, elastic rods and beams. This first volume deals with linear singular perturbations (on smooth manifolds without boundary) considered as equicontinuous linear mappings between corresponding families of Sobolev-Slobodetski's type spaces of vectorial order.
Author : E.M. de Jager
Publisher : Elsevier
ISBN 13 : 0080542751
Total Pages : 353 pages
Book Rating : 4.0/5 (85 download)
Download or read book The Theory of Singular Perturbations written by E.M. de Jager and published by Elsevier. This book was released on 1996-11-08 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of this textbook is the mathematical theory of singular perturbations, which despite its respectable history is still in a state of vigorous development. Singular perturbations of cumulative and of boundary layer type are presented. Attention has been given to composite expansions of solutions of initial and boundary value problems for ordinary and partial differential equations, linear as well as quasilinear; also turning points are discussed. The main emphasis lies on several methods of approximation for solutions of singularly perturbed differential equations and on the mathematical justification of these methods. The latter implies a priori estimates of solutions of differential equations; this involves the application of Gronwall's lemma, maximum principles, energy integrals, fixed point theorems and Gåding's theorem for general elliptic equations. These features make the book of value to mathematicians and researchers in the engineering sciences, interested in the mathematical justification of formal approximations of solutions of practical perturbation problems. The text is selfcontained and each chapter is concluded with some exercises.
Author : L. S. Frank
Publisher :
ISBN 13 :
Total Pages : 194 pages
Book Rating : 4.:/5 (897 download)
Download or read book Singular Perturbations IV: Coercive Singular Perturbations in the Elasticity Theory written by L. S. Frank and published by . This book was released on 1989 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Donald R. Smith
Publisher : Cambridge University Press
ISBN 13 : 9780521300421
Total Pages : 532 pages
Book Rating : 4.3/5 (4 download)
Download or read book Singular-Perturbation Theory written by Donald R. Smith and published by Cambridge University Press. This book was released on 1985-08-30 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to singular perturbation problems. Since the nature of the nonuniformity can vary from case to case, the author considers and solves a variety of problems, mostly for ordinary differential equations.
Author : S. A. Lomov
Publisher : American Mathematical Soc.
ISBN 13 : 9780821897416
Total Pages : 402 pages
Book Rating : 4.8/5 (974 download)
Download or read book Introduction to the General Theory of Singular Perturbations written by S. A. Lomov and published by American Mathematical Soc.. This book was released on with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Leonid S. Frank
Publisher :
ISBN 13 :
Total Pages : 555 pages
Book Rating : 4.:/5 (15 download)
Download or read book Singular Perturbations 1 written by Leonid S. Frank and published by . This book was released on 1990 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lindsay A. Skinner
Publisher : Springer Science & Business Media
ISBN 13 : 1441999582
Total Pages : 95 pages
Book Rating : 4.4/5 (419 download)
Download or read book Singular Perturbation Theory written by Lindsay A. Skinner and published by Springer Science & Business Media. This book was released on 2011-05-11 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Michael P. Mortell
Publisher : SIAM
ISBN 13 : 0898715970
Total Pages : 356 pages
Book Rating : 4.8/5 (987 download)
Download or read book Singular Perturbations and Hysteresis written by Michael P. Mortell and published by SIAM. This book was released on 2005-06-01 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book unifies many important recent developments in the analysis of singular perturbation and hysteresis phenomena in an accessible and comprehensive fashion. In April 2002 at University College Cork in Ireland, the editors conducted a workshop to provide a forum for experts to share their interests and knowledge. For this book, the editors have compiled research from those practitioners in areas such as reacting systems, semiconductor lasers, shock phenomena in economic modeling, and fluid mechanics, all with an emphasis on hysteresis and singular perturbations. A basic introduction to hysteresis and singular perturbation theory is included, with simple examples from both physics and mathematics. Later chapters address: applications of hysteresis to economics; various aspects of the asymptotic theory of singularly perturbed systems; typical problems of the asymptotic theory of contrast structures; and the geometrical approach to an investigation of models with singular perturbations and hysteresis.
Author : Robert E. Jr. O'Malley
Publisher : Elsevier
ISBN 13 : 0323162274
Total Pages : 215 pages
Book Rating : 4.3/5 (231 download)
Download or read book Introduction to Singular Perturbations written by Robert E. Jr. O'Malley and published by Elsevier. This book was released on 2012-12-02 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Leonid S. Frank
Publisher : Elsevier Health Sciences
ISBN 13 :
Total Pages : 620 pages
Book Rating : 4.:/5 (44 download)
Download or read book Spaces and Singular Perturbations on Manifolds Without Boundary written by Leonid S. Frank and published by Elsevier Health Sciences. This book was released on 1990 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singular perturbations, one of the central topics in asymptotic analysis, also play a special role in describing physical phenomena such as the propagation of waves in media in the presence of small energy dissipations or dispersions, the appearance of boundary or interior layers in fluid and gas dynamics, as well as in elasticity theory, semi-classical asymptotic approximations in quantum mechanics etc. Elliptic and coercive singular perturbations are of special interest for the asymptotic solution of problems which are characterized by boundary layer phenomena, e.g. the theory of thin buckling plates, elastic rods and beams. This first volume deals with linear singular perturbations (on smooth manifolds without boundary) considered as equicontinuous linear mappings between corresponding families of Sobolev-Slobodetski's type spaces of vectorial order.
Author : W. Eckhaus
Publisher : Springer
ISBN 13 : 3540393323
Total Pages : 371 pages
Book Rating : 4.5/5 (43 download)
Download or read book Theory and Applications of Singular Perturbations written by W. Eckhaus and published by Springer. This book was released on 2007-01-05 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James Alan Cochran
Publisher :
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.F/5 ( download)
Download or read book Problems in Singular Perturbation Theory written by James Alan Cochran and published by . This book was released on 1962 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Elena Shchepakina
Publisher : Springer
ISBN 13 : 3319095706
Total Pages : 224 pages
Book Rating : 4.3/5 (19 download)
Download or read book Singular Perturbations written by Elena Shchepakina and published by Springer. This book was released on 2014-10-06 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Jacob Johannes Heijstek
Publisher :
ISBN 13 : 9789090030173
Total Pages : 91 pages
Book Rating : 4.0/5 (31 download)
Download or read book On a Singular Perturbation in the Theory of Elastic Rods written by Jacob Johannes Heijstek and published by . This book was released on 1989 with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Leonid S. Frank
Publisher :
ISBN 13 :
Total Pages : 37 pages
Book Rating : 4.:/5 (633 download)
Download or read book Coercive singular perturbations and the theory of thin elastic plates written by Leonid S. Frank and published by . This book was released on 1980 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M.D. Ardema
Publisher : Springer
ISBN 13 : 370912638X
Total Pages : 337 pages
Book Rating : 4.7/5 (91 download)
Download or read book Singular Perturbations in Systems and Control written by M.D. Ardema and published by Springer. This book was released on 2014-05-04 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt:
