An Introduction to Numerical Methods

A MATLAB® Approach
6 ed
ISBN: 978-1-041-43236-4
Verlag: Taylor & Francis Ltd

Buch, Englisch, 536 Seiten, Format (B × H): 178 mm x 254 mm

Reihe: Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series

An Introduction to Numerical Methods: A MATLAB® Approach, Sixth 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 chapter on the Numerical Approximation of Fractional Derivatives and Applications.

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 www.routledge.com/9781041427308

Zielgruppe

Undergraduate Core

Autoren/Hrsg.

Kharab, Abdelwahab

Guenther, Ronald B.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik

Inhaltsverzeichnis

1. Introduction 2. Number System and Errors 3. Roots of Equations 4. System of Linear Equations 5. Interpolation 6. Approximation of Continuous Functions 7. Numerical Optimization 8. Numerical Differentiation and Integration 9. Numerical Methods for Linear Integral Equations 10. Numerical Methods for Differential Equations 11. Boundary-Value Problems 12. Eigenvalues and Eigenvectors 13. Dynamical Systems and Chaos 14. Partial Differential Equations 15. Numerical Approximation of Fractional Derivatives and Applications Appendix A: Calculus Review Appendix B: MATLAB Built-in Functions Appendix C: List of MATLAB Functions in the book

Über Autor(innen)

Abdelwahab Kharab is an applied mathematician and currently an Associate Professor at Zayed University in Abu Dhabi. His research focuses on numerical analysis and mathematical modeling, particularly on solving free boundary value problems and partial differential equations that arise in science and engineering.

Ronald B. Guenther is an applied mathematician and emeritus professor at Oregon State University known for his work in differential equations, fluid mechanics, and numerical analysis. He has authored several widely used graduate-level textbooks.