Linear difference equations with discrete transform methods

by Abdul J. Jerri

This book covers the basic elements of difference equations and the tools of difference and sum calculus necessary for studying and solving, primarily, ordinary linear difference equations. It is lucidly written and carefully motivated with examples from various fields of applications. These examples are presented in the first chapter and then discussed with their detailed solutions in Chapters 2-7. A particular feature is the use of the discrete Fourier transforms for solving difference equations associated with, generally nonhomogeneous, boundary conditions. Emphasis is placed on illustrating this new method by means of applications. The primary goal of the book is to serve as a primer for a first course in linear difference equations but, with the addition of more theory and applications, the book is suitable for more advanced courses. Audience: In addition to students from mathematics and applied fields the book will be of value to academic and industrial researchers who are interested in applications.

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[目次]

  • Preface. 1. Sequences and Difference Operators. 2. Sum Calculus and the Discrete Transforms Methods. 3. Basic Methods of Solving Linear Difference Equations. 4. Discrete Fourier Transforms. 5. The Discrete Sine (DST) and Cosine (DCT) Transforms for Boundary Value Problems. 6. The z-Transform for Initial Value Problems. 7. Modeling with Difference Equations. References. Answers to Exercises. Index of Notations. Subject Index.

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この本の情報

書名 Linear difference equations with discrete transform methods
著作者等 Jerri, Abdul J.
シリーズ名 Mathematics and its applications
出版元 Kluwer Academic
刊行年月 c1996
ページ数 xxi, 439 p.
大きさ 25 cm
ISBN 0792339401
NCID BA27623755
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言語 英語
出版国 オランダ
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