Applied Mathematical Modelling of Engineering Problems
By: by Natali Hritonenko, Yuri Yatsenko
Contributors: I͡At͡senko, I͡U. P. (I͡Uriĭ Petrovich)
Series: Applied Optimization -- 81; Applied optimization -- 81.
Publisher: Springer US
Published: 2003
Place of publication: Boston, MA
Language: eng
Format: [electronic resource] /
Number of pages: 286
ISBN-13: 9781461348153; 9781441991607
Subjects: Mathematics; Mathematical optimization; Systems theory
Description: 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.
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