Linear Difference Equations And Their Analytic Solutions

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Linear Difference Equations And Their Analytic Solutions

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Author : Robert Daniel Carmichael
language : en
Publisher:
Release Date : 1911

Linear Difference Equations And Their Analytic Solutions written by Robert Daniel Carmichael and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1911 with categories.

Asymptotic Integration Of Differential And Difference Equations

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Author : Sigrun Bodine
language : en
Publisher: Springer
Release Date : 2015-05-26

Asymptotic Integration Of Differential And Difference Equations written by Sigrun Bodine and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-26 with Mathematics categories.

This book presents the theory of asymptotic integration for both linear differential and difference equations. This type of asymptotic analysis is based on some fundamental principles by Norman Levinson. While he applied them to a special class of differential equations, subsequent work has shown that the same principles lead to asymptotic results for much wider classes of differential and also difference equations. After discussing asymptotic integration in a unified approach, this book studies how the application of these methods provides several new insights and frequent improvements to results found in earlier literature. It then continues with a brief introduction to the relatively new field of asymptotic integration for dynamic equations on time scales. Asymptotic Integration of Differential and Difference Equations is a self-contained and clearly structured presentation of some of the most important results in asymptotic integration and the techniques used in this field. It will appeal to researchers in asymptotic integration as well to non-experts who are interested in the asymptotic analysis of linear differential and difference equations. It will additionally be of interest to students in mathematics, applied sciences, and engineering. Linear algebra and some basic concepts from advanced calculus are prerequisites.

Linear Difference Equations And Their Analytic Solutions

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Author : Robert Daniel Carmichael
language : en
Publisher:
Release Date : 1911

Linear Difference Equations And Their Analytic Solutions written by Robert Daniel Carmichael and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1911 with Differential equations, Linear categories.

Advanced Topics In Difference Equations

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Author : R.P. Agarwal
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Advanced Topics In Difference Equations written by R.P. Agarwal 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 2013-04-17 with Mathematics categories.

. The theory of difference equations, the methods used in their solutions and their wide applications have advanced beyond their adolescent stage to occupy a central position in Applicable Analysis. In fact, in the last five years, the proliferation of the subject is witnessed by hundreds of research articles and several monographs, two International Conferences and numerous Special Sessions, and a new Journal as well as several special issues of existing journals, all devoted to the theme of Difference Equations. Now even those experts who believe in the universality of differential equations are discovering the sometimes striking divergence between the continuous and the discrete. There is no doubt that the theory of difference equations will continue to play an important role in mathematics as a whole. In 1992, the first author published a monograph on the subject entitled Difference Equations and Inequalities. This book was an in-depth survey of the field up to the year of publication. Since then, the subject has grown to such an extent that it is now quite impossible for a similar survey, even to cover just the results obtained in the last four years, to be written. In the present monograph, we have collected some of the results which we have obtained in the last few years, as well as some yet unpublished ones.

Methods Of Applied Mathematics For Engineers And Scientists

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Author : Tomas B. Co
language : en
Publisher: Cambridge University Press
Release Date : 2013-06-28

Methods Of Applied Mathematics For Engineers And Scientists written by Tomas B. Co and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-28 with Mathematics categories.

This engineering mathematics textbook is rich with examples, applications and exercises, and emphasises applying matrices.

Differential Difference Equations

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Author : Richard Bellman
language : en
Publisher:
Release Date : 1963

Differential Difference Equations written by Richard Bellman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Mathematics categories.

Differential And Difference Equations With Applications

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Author : Sandra Pinelas
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-09-21

Differential And Difference Equations With Applications written by Sandra Pinelas 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 2013-09-21 with Mathematics categories.

The volume contains carefully selected papers presented at the International Conference on Differential & Difference Equations and Applications held in Ponta Delgada – Azores, from July 4-8, 2011 in honor of Professor Ravi P. Agarwal. The objective of the gathering was to bring together researchers in the fields of differential & difference equations and to promote the exchange of ideas and research. The papers cover all areas of differential and difference equations with a special emphasis on applications.

Difference Equations

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Author : Paul Cull
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-08-03

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 2005-08-03 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.

The Solutions Of Non Homogeneous Linear Difference Equations And Their Asymptotic Form

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Author : Kenneth Powers Williams
language : en
Publisher:
Release Date : 1913

The Solutions Of Non Homogeneous Linear Difference Equations And Their Asymptotic Form written by Kenneth Powers Williams and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1913 with Difference equations categories.

Finite Difference Methods For Ordinary And Partial Differential Equations

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Author : Randall J. LeVeque
language : en
Publisher: SIAM
Release Date : 2007-01-01

Finite Difference Methods For Ordinary And Partial Differential Equations written by Randall J. LeVeque and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-01 with Mathematics categories.

This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples.