Introduction to Numerical Methods

A MATLAB® Approach

Häftad, Engelska, 2023

AvAbdelwahab Kharab,Ronald Guenther,United Arab Emirates) Kharab, Abdelwahab (Department of Mathematics, Abu Dhabi University

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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 engineeringIllustrates the methods using MATLABIdeal as an undergraduate textbook for numerical analysisPresents numerous examples and exercises, with selected answers provided at the back of the bookAccompanied by downloadable MATLAB code hosted at https/www.routledge.com/9781032406824

Produktinformation

Utgivningsdatum2023-06-13
Mått178 x 254 x 38 mm
Vikt1 180 g
FormatHäftad
SpråkEngelska
SerieChapman & Hall/CRC Numerical Analysis and Scientific Computing Series
Antal sidor614
Upplaga5
FörlagTaylor & Francis Ltd
ISBN9781032406831

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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.

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

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