An Introduction to Numerical Methods (4^th Ed.) A MATLAB® Approach, Fourth Edition Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series

Previous editions of this popular textbook offered an accessible and practical introduction to numerical analysis. An Introduction to Numerical Methods: A MATLAB® Approach, Fourth Edition continues to present a wide range of useful and important algorithms for scientific and engineering applications. The authors use MATLAB to illustrate each numerical method, providing full details of the computed results so that the main steps are easily visualized and interpreted. This edition also includes a new chapter on Dynamical Systems and Chaos.

Features

• Covers the most common numerical methods encountered in science and engineering
• Illustrates the methods using MATLAB
• Presents numerous examples and exercises, with selected answers at the back of the book

1 Introduction

2 Number System and Errors

3 Roots of Equations

4 System of Linear Equations

5 Interpolation

6 Interpolation with Spline Functions

7 The Method of least-squares

8 Numerical Optimization

9 Numerical Differentiation

10 Numerical Integration

11 Numerical Methods for Linear Integral Equations

12 Numerical Methods for Differential Equations

13 Boundary-Value Problems

14 Eigenvalues and Eigenvectors

15 Dynamical Systems and Chaos

16 Partial Differential Equations

Bibliography and References

Appendix A Calculus Review

Appendix B MATLAB Built-in Functions

Appendix C Text MATLAB Functions

Appendix D MATLAB GUI

Answers to Selected Exercises

Abdelwahab Kharab is an associate professor in the College of Arts and Sciences at Abu Dhabi University. His research interests include numerical analysis and simulation for the numerical solution of partial differential equations that arise in science and engineering.

Ronald B. Guenther is an Emeritus Professor in the Department of Mathematics at Oregon State University. His research interests include mathematically modeling deterministic systems and the ordinary and partial differential equations that arise from these models.