 Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB
ISBN: 978-0-471-69738-1
Hardcover
832 pages
December 2004
US $148.00
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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.
References.
MATLAB Command Index.
General Index.
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