Applied Mathematical Modelling of Engineering Problems (Applied Optimization)

By Yuri Yatsenko and Natali V. Hritonenko

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.

• Format: Paperback
• Language: English
• ISBN: 1461348153
• ISBN13: 9781461348153
• Release Date: November 2012
• Publisher: Springer
• Length: 286 Pages
• Weight: 0.97 lbs.
• Dimensions: 0.7" x 6.1" x 9.2"