On Two Nonlinear Singularly Perturbed Boundary Value Problems
DOWNLOAD
Download On Two Nonlinear Singularly Perturbed Boundary Value Problems PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get On Two Nonlinear Singularly Perturbed Boundary Value Problems book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
On Two Nonlinear Singularly Perturbed Boundary Value Problems
DOWNLOAD
Author : 趙毅
language : en
Publisher:
Release Date : 2007
On Two Nonlinear Singularly Perturbed Boundary Value Problems written by 趙毅 and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Boundary value problems categories.
Singularly Perturbed Boundary Value Problems
DOWNLOAD
Author : Matteo Dalla Riva
language : en
Publisher: Springer Nature
Release Date : 2021-10-01
Singularly Perturbed Boundary Value Problems written by Matteo Dalla Riva and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-01 with Mathematics categories.
This book is devoted to the analysis of the basic boundary value problems for the Laplace equation in singularly perturbed domains. The main purpose is to illustrate a method called Functional Analytic Approach, to describe the dependence of the solutions upon a singular perturbation parameter in terms of analytic functions. Here the focus is on domains with small holes and the perturbation parameter is the size of the holes. The book is the first introduction to the topic and covers the theoretical material and its applications to a series of problems that range from simple illustrative examples to more involved research results. The Functional Analytic Approach makes constant use of the integral representation method for the solutions of boundary value problems, of Potential Theory, of the Theory of Analytic Functions both in finite and infinite dimension, and of Nonlinear Functional Analysis. Designed to serve various purposes and readerships, the extensive introductory part spanning Chapters 1–7 can be used as a reference textbook for graduate courses on classical Potential Theory and its applications to boundary value problems. The early chapters also contain results that are rarely presented in the literature and may also, therefore, attract the interest of more expert readers. The exposition moves on to introduce the Functional Analytic Approach. A reader looking for a quick introduction to the method can find simple illustrative examples specifically designed for this purpose. More expert readers will find a comprehensive presentation of the Functional Analytic Approach, which allows a comparison between the approach of the book and the more classical expansion methods of Asymptotic Analysis and offers insights on the specific features of the approach and its applications to linear and nonlinear boundary value problems.
Nonlinear Singular Perturbation Phenomena
DOWNLOAD
Author : K. W. Chang
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonlinear Singular Perturbation Phenomena written by K. W. Chang 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.
Our purpose in writing this monograph is twofold. On the one hand, we want to collect in one place many of the recent results on the exist ence and asymptotic behavior of solutions of certain classes of singularly perturbed nonlinear boundary value problems. On the other, we hope to raise along the way a number of questions for further study, mostly ques tions we ourselves are unable to answer. The presentation involves a study of both scalar and vector boundary value problems for ordinary dif ferential equations, by means of the consistent use of differential in equality techniques. Our results for scalar boundary value problems obeying some type of maximum principle are fairly complete; however, we have been unable to treat, under any circumstances, problems involving "resonant" behavior. The linear theory for such problems is incredibly complicated already, and at the present time there appears to be little hope for any kind of general nonlinear theory. Our results for vector boundary value problems, even those admitting higher dimensional maximum principles in the form of invariant regions, are also far from complete. We offer them with some trepidation, in the hope that they may stimulate further work in this challenging and important area of differential equa tions. The research summarized here has been made possible by the support over the years of the National Science Foundation and the National Science and Engineering Research Council.
Singularly Perturbed Boundary Value Problems
DOWNLOAD
Author : Luminita Barbu
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-14
Singularly Perturbed Boundary Value Problems written by Luminita Barbu 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 2007-12-14 with Mathematics categories.
This book offers a detailed asymptotic analysis of some important classes of singularly perturbed boundary value problems which are mathematical models for phenomena in biology, chemistry, and engineering. The authors are particularly interested in nonlinear problems, which have gone little-examined so far in literature dedicated to singular perturbations. The treatment presented here combines successful results from functional analysis, singular perturbation theory, partial differential equations, and evolution equations.
Methods And Applications Of Singular Perturbations
DOWNLOAD
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
Numerical Solution Of Boundary Value Problems For Ordinary Differential Equations
DOWNLOAD
Author : Uri M. Ascher
language : en
Publisher: SIAM
Release Date : 1988-01-01
Numerical Solution Of Boundary Value Problems For Ordinary Differential Equations written by Uri M. Ascher and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-01-01 with Mathematics categories.
This book is the most comprehensive, up-to-date account of the popular numerical methods for solving boundary value problems in ordinary differential equations. It aims at a thorough understanding of the field by giving an in-depth analysis of the numerical methods by using decoupling principles. Numerous exercises and real-world examples are used throughout to demonstrate the methods and the theory. Although first published in 1988, this republication remains the most comprehensive theoretical coverage of the subject matter, not available elsewhere in one volume. Many problems, arising in a wide variety of application areas, give rise to mathematical models which form boundary value problems for ordinary differential equations. These problems rarely have a closed form solution, and computer simulation is typically used to obtain their approximate solution. This book discusses methods to carry out such computer simulations in a robust, efficient, and reliable manner.
Proceedings Of The Tenth International Conference On Mathematics And Computing
DOWNLOAD
Author : Debasis Giri
language : en
Publisher: Springer Nature
Release Date : 2024-07-01
Proceedings Of The Tenth International Conference On Mathematics And Computing written by Debasis Giri and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-01 with Computers categories.
This book features selected papers from the 10th International Conference on Mathematics and Computing (ICMC 2024), held at Kalasalingam Academy of Research and Education (KARE), Krishnankoil, India during 2 – 7 January 2024. It covers recent advances in the field of mathematics, statistics, and scientific computing. The book presents innovative work by leading academics, researchers, and experts from industry in mathematics, statistics, cryptography, network security, cyber security, machine learning, data analytics and blockchain technology in computer science and information technology. The book is divided into two volumes.
Fitted Numerical Methods For Singular Perturbation Problems
DOWNLOAD
Author : John J. H. Miller
language : en
Publisher: World Scientific
Release Date : 2012
Fitted Numerical Methods For Singular Perturbation Problems written by John J. H. Miller and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
Since the first edition of this book, the literature on fitted mesh methods for singularly perturbed problems has expanded significantly. Over the intervening years, fitted meshes have been shown to be effective for an extensive set of singularly perturbed partial differential equations. In the revised version of this book, the reader will find an introduction to the basic theory associated with fitted numerical methods for singularly perturbed differential equations. Fitted mesh methods focus on the appropriate distribution of the mesh points for singularly perturbed problems. The global errors in the numerical approximations are measured in the pointwise maximum norm. The fitted mesh algorithm is particularly simple to implement in practice, but the theory of why these numerical methods work is far from simple. This book can be used as an introductory text to the theory underpinning fitted mesh methods.
Proceedings Of Fourth International Conference On Soft Computing For Problem Solving
DOWNLOAD
Author : Kedar Nath Das
language : en
Publisher: Springer
Release Date : 2014-12-23
Proceedings Of Fourth International Conference On Soft Computing For Problem Solving written by Kedar Nath Das and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-23 with Technology & Engineering categories.
The Proceedings of SocProS 2014 serves as an academic bonanza for scientists and researchers working in the field of Soft Computing. This book contains theoretical as well as practical aspects using fuzzy logic, neural networks, evolutionary algorithms, swarm intelligence algorithms, etc., with many applications under the umbrella of ‘Soft Computing’. The book is beneficial for young as well as experienced researchers dealing across complex and intricate real world problems for which finding a solution by traditional methods is a difficult task. The different application areas covered in the Proceedings are: Image Processing, Cryptanalysis, Industrial Optimization, Supply Chain Management, Newly Proposed Nature Inspired Algorithms, Signal Processing, Problems related to Medical and Healthcare, Networking Optimization Problems, etc.
International Conference On Differential Equations Berlin Germany 1 7 August 1999
DOWNLOAD
Author : Bernold Fiedler
language : en
Publisher: World Scientific
Release Date : 2000
International Conference On Differential Equations Berlin Germany 1 7 August 1999 written by Bernold Fiedler and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Differential equations categories.
This book is a compilation of high quality papers focussing on five major areas of active development in the wide field of differential equations: dynamical systems, infinite dimensions, global attractors and stability, computational aspects, and applications. It is a valuable reference for researchers in diverse disciplines, ranging from mathematics through physics, engineering, chemistry, nonlinear science to the life sciences