Stanoyevitch, Alexander Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB Wiley Series in Pure and Applied Mathematics
1. Edition - February 2005 125.- Euro 2005. 832 Pages, Hardcover ISBN-10: 0-471-69738-9 ISBN-13: 978-0-471-69738-1 - John Wiley & Sons
Short description Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB provides a thorough introduction to the various aspects of numerically solving problems involving differential equations, both partial (PDEs) and ordinary (ODEs). The text incorporates the MATLAB (MATrix LABoratory) system of instruction since MATLAB is ideally suited for computations involving matrices. Largely self-contained, the book brings together all the techniques necessary for a clear and comprehensive understanding of differential equations. There are three parts: MATLAB and numerical preliminaries; ordinary differential equations; and partial differential equations. When multivariable content is introduced, it is presented at the end of the relevant chapter so as not to disturb continuity.
From the contents Preface.
PART I: INTRODUCTION TO MATLAB AND NUMERICAL PRELIMINARIES.
Chapter 1. MATLAB Basics.
Chapter 2. Basic Concepts of Numerical Analysis with Taylor's Theorem.
Chapter 3. Introduction to M-Files.
Chapter 4. Programming in MATLAB.
Chapter 5. Floating Point Arithmetic and Error Analysis.
Chapter 6. Rootfinding.
Chapter 7. Matrices and Linear Systems.
PART II: ORDINARY DIFFERENTIAL EQUATIONS.
Chapter 8. Introduction to Differential Equations.
Chapter 9. Systems of First-Order Differential Equations and Higher-Order Differential Equations
Chapter 10. Boundary Value Problems for Ordinary Differential Equations.
PART III: PARTIAL DIFFERENTIAL EQUATIONS.
Chapter 11. Introduction to Partial Differential Equations.
Chapter 12. Hyperbolic and Parabolic Partial Differential Equations
Chapter 13. The Finite Element Method.
Appendix A: Introduction to MATLAB's Symbolic Toolbox.
Appendix B: Solutions to All Exercises for the Reader.
