Theory Of Difference Equations Mse181 rar (0124341004)

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Theory of Difference Equations: Numerical Methods and Applications

(Mathematics in Science and Engineering 181)

By V. Lakshmikantham, Donato Trigiante

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Difference equations appear as natural descriptions of observed evolution phenomena because most mesurements of time evolving variables are discrete and as much these equations are in their own left important mathematical models.MOre inportantly,difference equations also appear in the study of discretization methods for differential equations...

Contents:

Preface

Chapter 1 Preliminaries

Chapter 2 Linear Difference Equations

Chapter 3 Linear Systems of Difference Equations

Chapter 4 Stability Theory

Chapter 5 Applications to Numerical Analysis

Chapter 6 Numerical Methods for Differential Equations

Chapter 7 Models of Real World Phenomena

Appendix A

Appendix B The Schur Criterium

Appendix C Chebyshev Polynomials

Solutions to the Problems

References

Subject Index

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