Differential And Difference Equations Through Computer Experiments
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Differential And Difference Equations Through Computer Experiments
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Author : Hüseyin Kocak
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Differential And Difference Equations Through Computer Experiments written by Hüseyin Kocak 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.
This is a somewhat unusual book with a dual purpose. First, it is a manual to help readers learn how to use PRASER, the program on the accompanying diskette for mM personal computers. Second, it is an illustrated guide to the wonderful world of experimental and theoretical dynamics, one which presents dozens of concrete examples ranging from the most rudimentary, appropriate for the beginning student, to the highly complex, suitable for the research mathematician. Before indicating what PRASER does and how it works, let me describe how it came a.bout. During the past decade the field of differential and difference equations has witnessed a remarkable explo sion of knowledge, not only in theory but also in applications to discip lines as diverse as biology and fluid mechanics. Computers have played a crucial role in this process by making possible detailed analyses of specific systems. In this regard, one need only mention the work of Lorenz on strange attractors and the discoveries of Feigenbaum on the bifurcations of interval maps.
Differential And Difference Equations Through Computer Experiments
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Author : Hüseyin Kocak
language : en
Publisher: Springer
Release Date : 1988-12-19
Differential And Difference Equations Through Computer Experiments written by Hüseyin Kocak and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-12-19 with Mathematics categories.
Phaser is a sophisticated program for IBM personal com- puters, developed atBrown University by the author and some of his students, which enables usersto experiment with differential and difference equations and dynamical systems in an interactive environment using graphics. This book begins with a brief discussion of the geometric inter- pretation of differential equations and numerical methods, and proceeds to guide the student through the use of the program. To run Phaser, you need an IBM PC, XT, AT, or PS/2 with an IBM Color GRaphics Board (CGB), Enhanced Graphics Adapter (VGA). A math coprocessor is supported; however, one is not required for Phaser to run on the above hardware.
Numerical Solution Of Sde Through Computer Experiments
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Author : Peter Eris Kloeden
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Numerical Solution Of Sde Through Computer Experiments written by Peter Eris Kloeden 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.
This book provides an easily accessible, computationally-oriented introduction into the numerical solution of stochastic differential equations using computer experiments. It develops in the reader an ability to apply numerical methods solving stochastic differential equations. It also creates an intuitive understanding of the necessary theoretical background. Software containing programs for over 100 problems is available online.
Differential Equations Laboratory Workbook
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Author : Robert L. Borrelli
language : en
Publisher: Wiley
Release Date : 1992-09-18
Differential Equations Laboratory Workbook written by Robert L. Borrelli and has been published by Wiley this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-09-18 with Mathematics categories.
Using an approach which closely parallels what goes on in science and engineering laboratories, this workbook provides computer experiments that amplify topics found in introductory ordinary differential equations texts. Excellent 2 and 3-D graphics illustrate the range of qualitative behavior of solutions and give compelling visual evidence of theoretical deductions and a greater understanding of the qualitative properties. The experiments are largely self-contained and are independent of any particular hardware/software platform or text.
Differential Equations With Computer Lab Experiments
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Author : Dennis G. Zill
language : en
Publisher: Thomson Brooks/Cole
Release Date : 1998
Differential Equations With Computer Lab Experiments written by Dennis G. Zill and has been published by Thomson Brooks/Cole this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Differential equations categories.
This text by best-selling author Dennis G. Zill provides an alternative to more traditional differential equations texts by addressing the growing influence of technology in teaching differential equations. This book will appeal to instructors who wish to integrate the computer into teaching theory and applications of differential equations. Qualitative and numerical aspects of differential equations are introduced early in the text. In this edition, computer lab experiments, projects, and writing assignments now appear in a section at the end of each chapter.
Difference Equations
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Author : Walter G. Kelley
language : en
Publisher: Academic Press
Release Date : 2001
Difference Equations written by Walter G. Kelley and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
Difference Equations, Second Edition, presents a practical introduction to this important field of solutions for engineering and the physical sciences. Topic coverage includes numerical analysis, numerical methods, differential equations, combinatorics and discrete modeling. A hallmark of this revision is the diverse application to many subfields of mathematics. Phase plane analysis for systems of two linear equations Use of equations of variation to approximate solutions Fundamental matrices and Floquet theory for periodic systems LaSalle invariance theorem Additional applications: secant line method, Bison problem, juvenile-adult population model, probability theory Appendix on the use of Mathematica for analyzing difference equaitons Exponential generating functions Many new examples and exercises
Difference Schemes
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Author : S.K. Godunov
language : en
Publisher: Elsevier
Release Date : 1987-05-01
Difference Schemes written by S.K. Godunov and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-05-01 with Mathematics categories.
Much applied and theoretical research in natural sciences leads to boundary-value problems stated in terms of differential equations. When solving these problems with computers, the differential problems are replaced approximately by difference schemes. This book is an introduction to the theory of difference schemes, and was written as a textbook for university mathematics and physics departments and for technical universities. Some sections of the book will be of interest to computations specialists. While stressing a mathematically rigorous treatment of model problems, the book also demonstrates the relation between theory and computer experiments, using difference schemes created for practical computations.
Advances In Differential And Difference Equations With Applications 2020
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Author : Dumitru Baleanu
language : en
Publisher: MDPI
Release Date : 2021-01-20
Advances In Differential And Difference Equations With Applications 2020 written by Dumitru Baleanu and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-20 with Computers categories.
It is very well known that differential equations are related with the rise of physical science in the last several decades and they are used successfully for models of real-world problems in a variety of fields from several disciplines. Additionally, difference equations represent the discrete analogues of differential equations. These types of equations started to be used intensively during the last several years for their multiple applications, particularly in complex chaotic behavior. A certain class of differential and related difference equations is represented by their respective fractional forms, which have been utilized to better describe non-local phenomena appearing in all branches of science and engineering. The purpose of this book is to present some common results given by mathematicians together with physicists, engineers, as well as other scientists, for whom differential and difference equations are valuable research tools. The reported results can be used by researchers and academics working in both pure and applied differential equations.
Computer Experiments With Ordinary Differential Equations
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Author : Ved P. Madan
language : en
Publisher:
Release Date : 1994
Computer Experiments With Ordinary Differential Equations written by Ved P. Madan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Differential equations categories.
Difference Equations
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Author : Paul Cull
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-15
Difference Equations written by Paul Cull 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 2005-12-15 with Mathematics categories.
In this new text, designed for sophomores studying mathematics and computer science, the authors cover the basics of difference equations and some of their applications in computing and in population biology. Each chapter leads to techniques that can be applied by hand to small examples or programmed for larger problems. Along the way, the reader will use linear algebra and graph theory, develop formal power series, solve combinatorial problems, visit Perron—Frobenius theory, discuss pseudorandom number generation and integer factorization, and apply the Fast Fourier Transform to multiply polynomials quickly. The book contains many worked examples and over 250 exercises. While these exercises are accessible to students and have been class-tested, they also suggest further problems and possible research topics.