An Introduction to Numerical Methods A MATLAB® Approach

An Introduction to Numerical Methods: A MATLAB® Approach, Fifth Edition continues to offer readers an accessible and practical introduction to numerical analysis. It presents a wide range of useful and important algorithms for scientific and engineering applications, using MATLAB to illustrate each numerical method with full details of the computed results so that the main steps are easily visualized and interpreted. This edition also includes new chapters on Approximation of Continuous Functions and Dealing with Large Sets of Data. Features: Covers the most common numerical methods encountered in science and engineering Illustrates the methods using MATLAB Ideal as an undergraduate textbook for numerical analysis Presents numerous examples and exercises, with selected answers provided at the back of the book Accompanied by downloadable MATLAB code hosted at https/www.routledge.com/9781032406824

Chapter 1 Introduction Chapter 2 Number System and Errors Chapter 3 Roots of Equations Chapter 4 System of Linear Equations Chapter 5Interpolation Chapter 6 Interpolation with Spline Functions Chapter 7 Approximation of Continuous Functions Chapter 8 Numerical Optimization Chapter 9 Numerical Di?erentiation Chapter 10 Numerical Integration Chapter 11 Numerical Methods for Linear Integral Equations Chapter 12 Numerical Methods for OrdinaryDi?erential Equations Chapter 13 Boundary-Value Problems Chapter 14 Eigenvalues and Eigenvectors Chapter 15 Dynamical Systems and Chaos Chapter 16 Partial Di?erential Equations Chapter 17Dealing with Large Sets of Data 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 Index

Abdelwahab Kharab is an Associate Professor in the College of Natural and Health Sciences at Zayed 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.