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AuthorHritonenko, Natali. author
TitleApplied Mathematical Modelling of Engineering Problems [electronic resource] / by Natali Hritonenko, Yuri Yatsenko
ImprintBoston, MA : Springer US : Imprint: Springer, 2003
Connect tohttp://dx.doi.org/10.1007/978-1-4419-9160-7
Descript XXI, 286 p. online resource

SUMMARY

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


CONTENT

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


Mathematics System theory Mathematical models Calculus of variations Applied mathematics Engineering mathematics Mathematics Mathematical Modeling and Industrial Mathematics Appl.Mathematics/Computational Methods of Engineering Calculus of Variations and Optimal Control; Optimization Systems Theory Control



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