Random Perturbation Methods With Applications In Science And Engineering
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Author | : Anatoli V. Skorokhod |
Publisher | : Springer Science & Business Media |
Total Pages | : 498 |
Release | : 2007-06-21 |
Genre | : Mathematics |
ISBN | : 0387224467 |
Download Random Perturbation Methods with Applications in Science and Engineering Book in PDF, Epub and Kindle
This book develops methods for describing random dynamical systems, and it illustrats how the methods can be used in a variety of applications. Appeals to researchers and graduate students who require tools to investigate stochastic systems.
Author | : Mark H. Holmes |
Publisher | : Springer Science & Business Media |
Total Pages | : 344 |
Release | : 2013-12-01 |
Genre | : Mathematics |
ISBN | : 1461253470 |
Download Introduction to Perturbation Methods Book in PDF, Epub and Kindle
This introductory graduate text is based on a graduate course the author has taught repeatedly over the last ten years to students in applied mathematics, engineering sciences, and physics. Each chapter begins with an introductory development involving ordinary differential equations, and goes on to cover such traditional topics as boundary layers and multiple scales. However, it also contains material arising from current research interest, including homogenisation, slender body theory, symbolic computing, and discrete equations. Many of the excellent exercises are derived from problems of up-to-date research and are drawn from a wide range of application areas.
Author | : Anatoli V Skorokhod |
Publisher | : |
Total Pages | : 504 |
Release | : 2002-07-09 |
Genre | : |
ISBN | : 9781468492705 |
Download Random Perturbation Methods with Applications in Science and Engineering Book in PDF, Epub and Kindle
Author | : İlkay Bakırtaş |
Publisher | : BoD – Books on Demand |
Total Pages | : 170 |
Release | : 2018-10-17 |
Genre | : Mathematics |
ISBN | : 1789842557 |
Download Perturbation Methods with Applications in Science and Engineering Book in PDF, Epub and Kindle
The governing equations of mathematical, chemical, biological, mechanical and economical models are often nonlinear and too complex to be solved analytically. Perturbation theory provides effective tools for obtaining approximate analytical solutions to a wide variety of such nonlinear problems, which may include differential or difference equations. In this book, we aim to present the recent developments and applications of the perturbation theory for treating problems in applied mathematics, physics and engineering. The eight chapters cover a variety of topics related to perturbation methods. The book is intended to draw attention of researchers and scientist in academia and industry.
Author | : AlanW. Bush |
Publisher | : Routledge |
Total Pages | : 265 |
Release | : 2018-05-04 |
Genre | : Mathematics |
ISBN | : 1351425358 |
Download Perturbation Methods for Engineers and Scientists Book in PDF, Epub and Kindle
The subject of perturbation expansions is a powerful analytical technique which can be applied to problems which are too complex to have an exact solution, for example, calculating the drag of an aircraft in flight. These techniques can be used in place of complicated numerical solutions. This book provides an account of the main techniques of perturbation expansions applied to both differential equations and integral expressions. Features include a non-rigorous treatment of the subject at undergraduate level not available in any other current text; contains computer programs to enable the student to explore particular ideas and realistic case studies of industrial applications; a number of practical examples are included in the text to enhance understanding of points raised, particularly in the areas of mechanics and fluid mechanics; presents the main techniques of perturbation expansion at a level accessible to the undergraduate student.
Author | : Reza N. Jazar |
Publisher | : Springer Nature |
Total Pages | : 584 |
Release | : 2021-07-12 |
Genre | : Technology & Engineering |
ISBN | : 3030734625 |
Download Perturbation Methods in Science and Engineering Book in PDF, Epub and Kindle
Perturbation Methods in Science and Engineering provides the fundamental and advanced topics in perturbation methods in science and engineering, from an application viewpoint. This book bridges the gap between theory and applications, in new as well as classical problems. The engineers and graduate students who read this book will be able to apply their knowledge to a wide range of applications in different engineering disciplines. The book begins with a clear description on limits of mathematics in providing exact solutions and goes on to show how pioneers attempted to search for approximate solutions of unsolvable problems. Through examination of special applications and highlighting many different aspects of science, this text provides an excellent insight into perturbation methods without restricting itself to a particular method. This book is ideal for graduate students in engineering, mathematics, and physical sciences, as well as researchers in dynamic systems.
Author | : Anatoli V. Skorokhod |
Publisher | : Springer Science & Business Media |
Total Pages | : 500 |
Release | : 2007-06-21 |
Genre | : Mathematics |
ISBN | : 0387224467 |
Download Random Perturbation Methods with Applications in Science and Engineering Book in PDF, Epub and Kindle
This book develops methods for describing random dynamical systems, and it illustrats how the methods can be used in a variety of applications. Appeals to researchers and graduate students who require tools to investigate stochastic systems.
Author | : C.Y. Wang |
Publisher | : Springer Nature |
Total Pages | : 156 |
Release | : 2023-04-07 |
Genre | : Science |
ISBN | : 3031265459 |
Download Essential Perturbation Methods Book in PDF, Epub and Kindle
This book presents the modeling and scaling of physical problems, which result in normalized perturbation equations. This is followed by solving perturbation problems and evaluating the results. The author refines perturbation methods into simple, understandable elements and avoids unnecessary theorems and proofs. In addition, the results are consolidated and interpreted, and the presented examples are succinct to illustrate the essential techniques. This book is ideal and beneficial for practicing scientists and engineers who need to understand and apply perturbation methods to difficult problems with applications in mathematics, engineering, and biology. Discussions on new perspectives, simpler presentations on convergence, and the expansion of integrals are included.
Author | : Anatoli V. Skorokhod |
Publisher | : Springer |
Total Pages | : 490 |
Release | : 2002-07-09 |
Genre | : Mathematics |
ISBN | : 9780387954271 |
Download Random Perturbation Methods with Applications in Science and Engineering Book in PDF, Epub and Kindle
This book develops methods for describing random dynamical systems, and it illustrats how the methods can be used in a variety of applications. Appeals to researchers and graduate students who require tools to investigate stochastic systems.
Author | : Richard Ernest Bellman |
Publisher | : Courier Corporation |
Total Pages | : 146 |
Release | : 2003-01-01 |
Genre | : Science |
ISBN | : 9780486432588 |
Download Perturbation Techniques in Mathematics, Engineering and Physics Book in PDF, Epub and Kindle
Graduate students receive a stimulating introduction to analytical approximation techniques for solving differential equations in this text, which introduces scientifically significant problems and indicates useful solutions. 1966 edition.