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Applied Mathematical Modelling of Engineering Problems [electronic resource] /
The subject of the book is the "know-how" of applied mathematical modelling: how to construct specific models and adjust them to a new engineering environment or more precise realistic assumptions; how to analyze models for the purpose of investigating real life phenomena; and how the models can extend our knowledge about a specific engineering process. Two major sources of the book are the stock of classic models and the authors' wide experience in the field. The book provides a theoretical background to guide the development of practical models and their investigation. It considers general modelling techniques, explains basic underlying physical laws and shows how to transform them into a set of mathematical equations. The emphasis is placed on common features of the modelling process in various applications as well as on complications and generalizations of models. The book covers a variety of applications: mechanical, acoustical, physical and electrical, water transportation and contamination processes; bioengineering and population control; production systems and technical equipment renovation. Mathematical tools include partial and ordinary differential equations, difference and integral equations, the calculus of variations, optimal control, bifurcation methods, and related subjects.
| Main Authors: | , , |
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| Format: | Texto biblioteca |
| Language: | eng |
| Published: |
Boston, MA : Springer US : Imprint: Springer,
2003
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| Subjects: | Mathematics., System theory., Mathematical models., Calculus of variations., Applied mathematics., Engineering mathematics., Mathematical Modeling and Industrial Mathematics., Appl.Mathematics/Computational Methods of Engineering., Calculus of Variations and Optimal Control; Optimization., Systems Theory, Control., |
| Online Access: | http://dx.doi.org/10.1007/978-1-4419-9160-7 |
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