Introduction to the General Theory of Singular Perturbations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to the General Theory of Singular Perturbations write by S. A. Lomov. This book was released on . Introduction to the General Theory of Singular Perturbations available in PDF, EPUB and Kindle. 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.
Methods and Applications of Singular Perturbations
Methods and Applications of Singular Perturbations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Methods and Applications of Singular Perturbations write by Ferdinand Verhulst. This book was released on 2006-06-04. Methods and Applications of Singular Perturbations available in PDF, EPUB and Kindle. Contains well-chosen examples and exercises A student-friendly introduction that follows a workbook type approach
Singular-Perturbation Theory
Singular-Perturbation Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Singular-Perturbation Theory write by Donald R. Smith. This book was released on 1985-08-30. Singular-Perturbation Theory available in PDF, EPUB and Kindle. 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.
Geometric Singular Perturbation Theory Beyond the Standard Form
Geometric Singular Perturbation Theory Beyond the Standard Form - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Singular Perturbation Theory Beyond the Standard Form write by Martin Wechselberger. This book was released on 2020-02-21. Geometric Singular Perturbation Theory Beyond the Standard Form available in PDF, EPUB and Kindle. 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.
The Theory of Singular Perturbations
The Theory of Singular Perturbations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Theory of Singular Perturbations write by E.M. de Jager. This book was released on 1996-11-08. The Theory of Singular Perturbations available in PDF, EPUB and Kindle. 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.
