Theory of Difference Equations: Numerical Methods and Applications (Mathematics in Science and Engineering 181)

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Theory of Difference Equations: Numerical Methods and Applications
(Mathematics in Science and Engineering 181)
By V. Lakshmikantham, Donato Trigiante

Publisher: Academic Press | 242 pages | 1988-05-12 | ISBN: 0124341004 | PDF | 6.75 MB

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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 right 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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