Previous editions of this popular textbook offered an accessible and practical introduction to numerical analysis. An Introduction to Numerical Methods: A MATLAB(R) 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.
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.
2 Number System and Errors
3 Roots of Equations
4 System of Linear Equations
6 Interpolation with Spline Functions
7 The Method of least-squares
8 Numerical Optimization
9 Numerical Di¿erentiation
10 Numerical Integration
11 Numerical Methods for Linear Integral Equations
12 Numerical Methods for Di¿erential Equations
13 Boundary-Value Problems
14 Eigenvalues and Eigenvectors
15 Dynamical Systems and Chaos
16 Partial Di¿erential 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