Introduction to Numerical Methods

A MATLAB Approach

Abdelwahad Kharab, Ronald B. Guenther

432 pages, parution le 07/03/2002

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Résumé

Numerical methods are a mainstay of researchers and professionals across the many mathematics, scientific, and engineering disciplines. The importance of these methods combined with the power and widespread availability of desktop computers virtually demands that students in these fields be well-versed not only in the numerical techniques, but also in the use of a modern computational software package.An Introduction to Numerical Methods: A MATLAB Approach fulfills both these needs. Requiring only calculus and some basic programming concepts as background, it introduces readers to the theory and applications of the most commonly used techniques for solving numerical problems on a personal computer. It covers a wide range of useful algorithms, each presented with full details so that readers can visualize and interpret each step. The enclosed CD-ROM contains simple MATLAB functions that provide step-by-step explanations of the mechanisms behind the algorithm for each technique and guide readers through the necessary calculations.Emphasis on understanding how the methods work, a simple, direct style, and thorough coverage make this book an outstanding initiation that allows readers to see almost immediate results. It will boost confidence in the ability to master the subject and provide valuable experience in the use of MATLAB.

Contents

1 Introduction 1
2 Number System and Errors 21
3 Roots of Equations 37
4 System of Linear Equations 79
5 Interpolation 131
6 Interpolation with Spline Functions 153
7 The Method of Least Squares 175
8 Numerical Differentiation and Integration 203
9 Numerical Methods for Ordinary Differential Equations 247
10 Boundary-Value Problems 311
11 Eigenvalues and Eigenvectors 329
12 Partial Differential Equations 359

Bibliography and References 389
Appendix A Calculus Review 393
Appendix B Matlab Built-In Functions 397
Appendix C Text Matlab Functions 401
Answers to Selected Exercises 403
Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Chapman and Hall / CRC
Auteur(s)	Abdelwahad Kharab, Ronald B. Guenther
Parution	07/03/2002
Nb. de pages	432
Format	16 x 24
Couverture	Relié
Poids	767g
Intérieur	Noir et Blanc
EAN13	9781584882817
ISBN13	978-1-58488-281-7