Introduction to Numerical Differential Equations Using MATLAB

Alexander Stanoyevitch

815 pages, parution le 02/03/2005

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Résumé

Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB teaches you how to numerically solve both ordinary and partial differential equations with ease. This innovative resource brings together a skillful treatment of MATLAB and programming alongside current theory and modeling methods. All the tools needed to master MATLAB and then use it to solve differential equations are provided. Exercises for the Reader range from routine computations to more advanced conceptual and theoretical questions, while illustrative examples demonstrate MATLAB s powerful ability to solve differential equations. With its thorough coverage of analytic concepts, geometric concepts, programs and algorithms, and applications, Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB is an unsurpassed pedagogical tool.

Sommaire

Introduction to Matlab And Numerical Preliminaries
- MATLAB Basics
- Basic Concepts of Numerical Analysis with Taylor's Theorem
- Introduction to M-Files
- Programming in MATLAB
- Floating Point Arithmetic and Error Analysis
- Rootfinding
- Matrices and Linear Systems
Ordinary Differential Equations
- Introduction to Differential Equations
- Systems of First-Order Differential Equations and Higher-Order Differential Equations
- Boundary Value Problems for Ordinary Differential Equations
Partial Differential Equations
- Introduction to Partial Differential Equations
- Hyperbolic and Parabolic Partial Differential Equations
- The Finite Element Method
- Appendix A: Introduction to MATLAB's Symbolic Toolbox
- Appendix B: Solutions to All Exercises for the Reader

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Wiley
Auteur(s)	Alexander Stanoyevitch
Parution	02/03/2005
Nb. de pages	815
Format	16 x 24
Couverture	Relié
Poids	1275g
Intérieur	Noir et Blanc
EAN13	9780471697381
ISBN13	978-0-471-69738-1