Numerical Methods and Modelling for Engineering
Nonfiction, Science & Nature, Mathematics, Counting & Numeration, Applied, Technology
| 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.
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.
