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Numerical Methods and Modelling for Engineering
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 rea...
| Main Authors: | , |
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| Corporate Author: | |
| Format: | e-Book |
| Language: | English |
| Published: |
Cham :
Springer International Publishing :
2016.
Imprint: Springer, |
| Edition: | 1st ed. 2016. |
| Subjects: | |
| Online Access: | Full-text access |
| Summary: | 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. |
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| Physical Description: | XVII, 332 p. 131 illus., 77 illus. in color. online resource. |
| ISBN: | 9783319211763 |
| DOI: | 10.1007/978-3-319-21176-3 |