Singularperturbations occur when a small coefficient affects the highest orde...Singular perturbations occur when a small coefficient affects the highest order derivatives in a system of partial differential equations. From the physical point of view singular perturbations generate in the system under consideration thin layers...more
Perturbation theory is a fascinating and fundamental topic in mathematics and ...Perturbation theory is a fascinating and fundamental topic in mathematics and its applications to the natural and engineering sciences. In this workbook each explicit example is studied and methods introduced beginning without proof a learning...more
The book is intended to be used as a textbook and a reference to learn about s...The book is intended to be used as a textbook and a reference to learn about singular perturbation methods and their use in applications. The presentation is closely related to current mathematics and applied literature and is written to be...more
This book is a revised and updated version including a substantial portion of ...This book is a revised and updated version including a substantial portion of new material of our text Perturbation Methods in Applied Mathematics (Springer- Verlag 1981). We present the material at a level that assumes some familiarity with the...more
Our purpose in writing this monograph is twofold. On the one hand we want to c...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...more
Perturbation theory is a fascinating and fundamental topic in mathematics and ...Perturbation theory is a fascinating and fundamental topic in mathematics and its applications to the natural and engineering sciences. In this workbook each explicit example is studied and methods introduced beginning without proof a learning...more
This book is a revised and updated version including a substantial portion of ...This book is a revised and updated version including a substantial portion of new material of our text Perturbation Methods in Applied Mathematics (Springer- Verlag 1981). We present the material at a level that assumes some familiarity with the...more
The book is intended to be used as a textbook and a reference to learn about s...The book is intended to be used as a textbook and a reference to learn about singular perturbation methods and their use in applications. The presentation is closely related to current mathematics and applied literature and is written to be...more
This book is a revised and updated version including a substantial portion of ...This book is a revised and updated version including a substantial portion of new material of J. D. Cole s text Perturbation Methods in Applied Mathe- matics Ginn-Blaisdell 1968. We present the material at a level which assumes some familiarity with...more
This book covers the impact of noise on models that are widely used in science...This book covers the impact of noise on models that are widely used in science and engineering and applies perturbed methods which assume noise changes on a faster time or space scale than the system being studied. The book is written in two parts....more
In the present edition I have included Supplements and Problems located at the...In the present edition I have included Supplements and Problems located at the end of each chapter. This was done with the aim of illustrating the possibilities of the methods contained in the book as well as with the desire to make good on what I...more
Many books have already been written about the perturbation theory of differen...Many books have already been written about the perturbation theory of differential equations with a small parameter. Therefore we would like to give some reasons why the reader should bother with still another book on this topic. Speaking for the...more
This book is a revised and updated version including a substantial portion of ...This book is a revised and updated version including a substantial portion of new material of J. D. Cole s text Perturbation Methods in Applied Mathe- matics Ginn-Blaisdell 1968. We present the material at a level which assumes some familiarity with...more
CONDITION – USED: Books sold are in GOOD or better condition. Good Condition...CONDITION – USED: Books sold are in GOOD or better condition. Good Condition: Minimal damage to the cover dust jacket may not be included minimal wear to binding most of the pages undamaged(e.g. minimal creases or tears) highlighting / underlining...more
This book is an interdisciplinary introduction to optical collapse of laser be...This book is an interdisciplinary introduction to optical collapse of laser beams which is modelled by singular (blow-up) solutions of the nonlinear Schrödinger equation. With great care and detail it develops the subject including the mathematical...more