Applied Mathematical Modelling of Engineering Problems

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 mode...

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Bibliographic Details
Main Authors: Hritonenko, N.V., Yatsenko, Yuri P. (Author)
Format: eBook
Language:English
Published: New York, NY Springer US 2003, 2003
Edition:1st ed. 2003
Series:Applied Optimization
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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505 0 |a Some Basic Models Of Physical Systems -- Models Of Continuum Mechanical Systems -- Variational Models and Structural Stability -- Integral Models Of Physical Systems -- Modelling in Bioengineering -- Modelling Of Technological Renovation In Production Systems 
653 |a Engineering mathematics 
653 |a Calculus of Variations and Optimization 
653 |a Control theory 
653 |a Systems Theory, Control 
653 |a System theory 
653 |a Mathematical Modeling and Industrial Mathematics 
653 |a Engineering / Data processing 
653 |a Mathematical optimization 
653 |a Mathematical and Computational Engineering Applications 
653 |a Calculus of variations 
653 |a Mathematical models 
700 1 |a Yatsenko, Yuri P.  |e [author] 
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520 |a 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