# Numerical Methods and Modelling for Engineering

• Richard Khoury
• Douglas Wilhelm Harder
Textbook

1. Front Matter
Pages i-xvii
2. Richard Khoury, Douglas Wilhelm Harder
Pages 1-12
3. Richard Khoury, Douglas Wilhelm Harder
Pages 13-30
4. Richard Khoury, Douglas Wilhelm Harder
Pages 31-38
5. Richard Khoury, Douglas Wilhelm Harder
Pages 39-65
6. Richard Khoury, Douglas Wilhelm Harder
Pages 67-75
7. Richard Khoury, Douglas Wilhelm Harder
Pages 77-113
8. Richard Khoury, Douglas Wilhelm Harder
Pages 115-118
9. Richard Khoury, Douglas Wilhelm Harder
Pages 119-156
10. Richard Khoury, Douglas Wilhelm Harder
Pages 157-189
11. Richard Khoury, Douglas Wilhelm Harder
Pages 191-217
12. Richard Khoury, Douglas Wilhelm Harder
Pages 219-249
13. Richard Khoury, Douglas Wilhelm Harder
Pages 251-284
14. Richard Khoury, Douglas Wilhelm Harder
Pages 285-306
15. Back Matter
Pages 307-332

### Introduction

This textbook provides a step-by-step approach to numerical methods in engineering modelling. The authors provide a consistent treatment of the topic, from the ground up, to reinforce for students that numerical methods are a set of mathematical modelling tools which allow engineers to represent real-world systems and compute features of these systems with a predictable error rate. Each method presented addresses a specific type of problem, namely root-finding, optimization, integral, derivative, initial value problem, or boundary value problem, and each one encompasses a set of algorithms to solve the problem given some information and to a known error bound. The authors demonstrate that after developing a proper model and understanding of the engineering situation they are working on, engineers can break down a model into a set of specific mathematical problems, and then implement the appropriate numerical methods to solve these problems.

• Uses a “building-block” approach, starting with simpler mathematical tools and using them to develop more and more complex models and methods;
• Integrates modelling, error measuring, and programming, with numerical methods, in order to give an engineering emphasis to an otherwise mathematical topic;
• Demonstrates not only how the math and algorithms work but also how they can be used in engineering practice.

### Keywords

Boundary Value Problems Engineering Modelling Techniques Initial Value Problems Interpolation, Regression, and Extrapolation Modelling Errors Numerical Approximation Numerical Methods Numerical Methods Textbook Numerical Methods for Engineers Numerical Methods for Scientists and Engineers

#### Authors and affiliations

• Richard Khoury
• 1
• Douglas Wilhelm Harder
• 2

### Bibliographic information

• DOI https://doi.org/10.1007/978-3-319-21176-3
• Copyright Information Springer International Publishing Switzerland 2016
• Publisher Name Springer, Cham
• eBook Packages Engineering
• Print ISBN 978-3-319-21175-6
• Online ISBN 978-3-319-21176-3
• Buy this book on publisher's site
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