Special Issue: Symmetries and Integrability of Difference Equations (SIDE IV)
Author: SIDE
Publisher:
Published: 2001
Total Pages: 408
ISBN-13:
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Symmetries and Integrability of Difference Equations
Author: Decio Levi
Publisher: Springer
Published: 2017-06-30
Total Pages: 441
ISBN-13: 3319566660
DOWNLOAD EBOOKThis book shows how Lie group and integrability techniques, originally developed for differential equations, have been adapted to the case of difference equations. Difference equations are playing an increasingly important role in the natural sciences. Indeed, many phenomena are inherently discrete and thus naturally described by difference equations. More fundamentally, in subatomic physics, space-time may actually be discrete. Differential equations would then just be approximations of more basic discrete ones. Moreover, when using differential equations to analyze continuous processes, it is often necessary to resort to numerical methods. This always involves a discretization of the differential equations involved, thus replacing them by difference ones. Each of the nine peer-reviewed chapters in this volume serves as a self-contained treatment of a topic, containing introductory material as well as the latest research results and exercises. Each chapter is presented by one or more early career researchers in the specific field of their expertise and, in turn, written for early career researchers. As a survey of the current state of the art, this book will serve as a valuable reference and is particularly well suited as an introduction to the field of symmetries and integrability of difference equations. Therefore, the book will be welcomed by advanced undergraduate and graduate students as well as by more advanced researchers.
Symmetries and Integrability of Difference Equations
Author: Decio Levi
Publisher: Cambridge University Press
Published: 2011-06-23
Total Pages: 360
ISBN-13: 9780521136587
DOWNLOAD EBOOKDifference equations are playing an increasingly important role in the natural sciences. Indeed many phenomena are inherently discrete and are naturally described by difference equations. Phenomena described by differential equations are therefore approximations of more basic discrete ones. Moreover, in their study it is very often necessary to resort to numerical methods. This always involves a discretization of the differential equations involved, thus replacing them by difference equations. This book shows how Lie group and integrability techniques, originally developed for differential equations, have been adapted to the case of difference ones. Each of the eleven chapters is a self-contained treatment of a topic, containing introductory material as well as the latest research results. The book will be welcomed by graduate students and researchers seeking an introduction to the field. As a survey of the current state of the art it will also serve as a valuable reference.
Control Perspectives on Numerical Algorithms and Matrix Problems
Author: Amit Bhaya
Publisher: SIAM
Published: 2006-01-01
Total Pages: 297
ISBN-13: 9780898718669
DOWNLOAD EBOOKControl Perspectives on Numerical Algorithms and Matrix Problems organizes the analysis and design of iterative numerical methods from a control perspective. The authors discuss a variety of applications, including iterative methods for linear and nonlinear systems of equations, neural networks for linear and quadratic programming problems, support vector machines, integration and shooting methods for ordinary differential equations, matrix preconditioning, matrix stability, and polynomial zero finding. This book opens up a new field of interdisciplinary research that should lead to insights in the areas of both control and numerical analysis and shows that a wide range of applications can be approached from, and benefit from, a control perspective.
Difference Equations, Special Functions And Orthogonal Polynomials - Proceedings Of The International Conference
Author: Jim M Cushing
Publisher: World Scientific
Published: 2007-05-21
Total Pages: 789
ISBN-13: 9814475467
DOWNLOAD EBOOKThis volume contains talks given at a joint meeting of three communities working in the fields of difference equations, special functions and applications (ISDE, OPSFA, and SIDE). The articles reflect the diversity of the topics in the meeting but have difference equations as common thread. Articles cover topics in difference equations, discrete dynamical systems, special functions, orthogonal polynomials, symmetries, and integrable difference equations.
Difference Equations, Special Functions and Orthogonal Polynomials
Author: Saber Elaydi
Publisher: World Scientific
Published: 2007
Total Pages: 789
ISBN-13: 9812770755
DOWNLOAD EBOOKThis volume contains talks given at a joint meeting of three communities working in the fields of difference equations, special functions and applications (ISDE, OPSFA, and SIDE). The articles reflect the diversity of the topics in the meeting but have difference equations as common thread. Articles cover topics in difference equations, discrete dynamical systems, special functions, orthogonal polynomials, symmetries, and integrable difference equations.
Advanced Topics in Difference Equations
Author: R.P. Agarwal
Publisher: Springer
Published: 1997-04-30
Total Pages: 528
ISBN-13:
DOWNLOAD EBOOKThis monograph is a collection of the results the authors have obtained on difference equations and inequalities. In the last few years this discipline has gone through such a dramatic development that it is no longer feasible to present an exhaustive survey of all research. However, this state-of-the-art volume offers a representative overview of the authors' recent work, reflecting some of the major advances in the field as well as the diversity of the subject. Audience: This book will be of interest to graduate students and researchers in mathematical analysis and its applications, concentrating on finite differences, ordinary and partial differential equations, real functions and numerical analysis.
Selected Papers from IIKII 2019 conferences in Symmetry
Author: Teen-Hang Meen
Publisher: MDPI
Published: 2020-12-15
Total Pages: 368
ISBN-13: 3039362402
DOWNLOAD EBOOKThe International Institute of Knowledge Innovation and Invention (IIKII, http://www.iikii.org) promotes the exchange of innovations and inventions and establishes a communication platform for international innovations and research. In 2019, IIKII cooperates with the IEEE Tainan Section Sensors Council to hold IEEE conferences, such as IEEE ICIASE 2019, IEEE ECBIOS 2019, IEEE ICKII 2019, ICUSA-GAME 2019, and IEEE ECICE 2019. This Special Issue, entitled "Selected Papers from IIKII 2019 conferences", aims to showcase outstanding papers from IIKII 2019 conferences, including symmetry in physics, chemistry, biology, mathematics, and computer science, etc. It selected 21 outstanding papers from 750 papers presented in IIKII 2019 conferences on the topic of symmetry. The main goals of this Special Issue are to encourage scientists to publish their experimental and theoretical results in as much detail as possible, and to discover new scientific knowledge relevant to the topic of symmetry.
