An Introduction to Numerical Methods: A MATLAB® Approach

ISBN-13: 9781032406831 / Angielski

Abdelwahab Kharab; Ronald Guenther

Opis

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

Spis treści

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