Numerical Methods and Modelling for Engineering

Nonfiction, Science & Nature, Mathematics, Counting & Numeration, Applied, Technology
Cover of the book Numerical Methods and Modelling for Engineering by Richard Khoury, Douglas Wilhelm Harder, Springer International Publishing
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Author: Richard Khoury, Douglas Wilhelm Harder ISBN: 9783319211763
Publisher: Springer International Publishing Publication: May 11, 2016
Imprint: Springer Language: English
Author: Richard Khoury, Douglas Wilhelm Harder
ISBN: 9783319211763
Publisher: Springer International Publishing
Publication: May 11, 2016
Imprint: Springer
Language: English

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. 

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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. 

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