5th Edition
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 5
Interpolation
Chapter 6
Interpolation with Spline Functions
Chapter 7
Approximation of Continuous Functions
Chapter 8
Numerical Optimization
Chapter 9
Numerical Differentiation
Chapter 10
Numerical Integration
Chapter 11
Numerical Methods for Linear Integral Equations
Chapter 12
Numerical Methods for Ordinary Differential Equations
Chapter 13
Boundary-Value Problems
Chapter 14
Eigenvalues and Eigenvectors
Chapter 15
Dynamical Systems and Chaos
Chapter 16
Partial Differential Equations
Chapter 17
Dealing 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
Biography
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.
Praise for Previous Editions
"Kharab and Guenther offer an attractive, clear, error-free, and well-written introduction to numerical methods … Highly recommended."
– J.H. Ellison, CHOICE
"Overall, this is one of the best numerical methods book that I have come across. I strongly recommend it to be used for any undergraduate introductory course in numerical analysis for science and engineering students."
– Jamal Benbourenane, Abu Dhabi University
