Singular Perturbations of Differential Operators 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 Singular Perturbations of Differential Operators PDF full book. Access full book title Singular Perturbations of Differential Operators by Sergio Albeverio. Download full books in PDF and EPUB format.
Author: Sergio Albeverio
Publisher: Cambridge University Press
ISBN: 9780521779128
Category : Mathematics
Languages : en
Pages : 454
Get Book Here
Book Description
This is a systematic mathematical study of differential (and more general self-adjoint) operators.
Author: Sergio Albeverio
Publisher: Cambridge University Press
ISBN: 9780521779128
Category : Mathematics
Languages : en
Pages : 454
Get Book Here
Book Description
This is a systematic mathematical study of differential (and more general self-adjoint) operators.
Author: Martin Wechselberger
Publisher: Springer Nature
ISBN: 3030363996
Category : Mathematics
Languages : en
Pages : 143
Get Book Here
Book Description
This volume provides a comprehensive review of multiple-scale dynamical systems. Mathematical models of such multiple-scale systems are considered singular perturbation problems, and this volume focuses on the geometric approach known as Geometric Singular Perturbation Theory (GSPT). It is the first of its kind that introduces the GSPT in a coordinate-independent manner. This is motivated by specific examples of biochemical reaction networks, electronic circuit and mechanic oscillator models and advection-reaction-diffusion models, all with an inherent non-uniform scale splitting, which identifies these examples as singular perturbation problems beyond the standard form. The contents cover a general framework for this GSPT beyond the standard form including canard theory, concrete applications, and instructive qualitative models. It contains many illustrations and key pointers to the existing literature. The target audience are senior undergraduates, graduate students and researchers interested in using the GSPT toolbox in nonlinear science, either from a theoretical or an application point of view. Martin Wechselberger is Professor at the School of Mathematics & Statistics, University of Sydney, Australia. He received the J.D. Crawford Prize in 2017 by the Society for Industrial and Applied Mathematics (SIAM) for achievements in the field of dynamical systems with multiple time-scales.
Author: Robert E., Jr. O'Malley
Publisher: Springer Science & Business Media
ISBN: 1461209773
Category : Mathematics
Languages : en
Pages : 234
Get Book Here
Book Description
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.
Author: Pavel Kurasov
Publisher: Springer Nature
ISBN: 3030315312
Category : Mathematics
Languages : en
Pages : 627
Get Book Here
Book Description
Boris Pavlov (1936-2016), to whom this volume is dedicated, was a prominent specialist in analysis, operator theory, and mathematical physics. As one of the most influential members of the St. Petersburg Mathematical School, he was one of the founders of the Leningrad School of Non-self-adjoint Operators. This volume collects research papers originating from two conferences that were organized in memory of Boris Pavlov: “Spectral Theory and Applications”, held in Stockholm, Sweden, in March 2016, and “Operator Theory, Analysis and Mathematical Physics – OTAMP2016” held at the Euler Institute in St. Petersburg, Russia, in August 2016. The volume also includes water-color paintings by Boris Pavlov, some personal photographs, as well as tributes from friends and colleagues.
Author: L.S. Frank
Publisher: Elsevier
ISBN: 0080875440
Category : Mathematics
Languages : en
Pages : 581
Get Book Here
Book Description
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: Robert E. O'Malley
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 72
Get Book Here
Book Description
Author: Tosio Kato
Publisher: Springer Science & Business Media
ISBN: 3662126788
Category : Mathematics
Languages : en
Pages : 610
Get Book Here
Book Description
Author: E.M. de Jager
Publisher: Elsevier
ISBN: 0080542751
Category : Mathematics
Languages : en
Pages : 353
Get Book Here
Book Description
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: W. Eckhaus
Publisher: Elsevier
ISBN: 0080875300
Category : Mathematics
Languages : en
Pages : 301
Get Book Here
Book Description
Asymptotic Analysis of Singular Perturbations
Author: Herbert Goering
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3112735935
Category : Mathematics
Languages : en
Pages : 176
Get Book Here
Book Description
No detailed description available for "Singularly Perturbed Differential Equations".
