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Applied Mathematical Modelling of Engineering Problems

  • Natali Hritonenko
  • Yuri Yatsenko

Part of the Applied Optimization book series (APOP, volume 81)

Table of contents

  1. Front Matter
    Pages i-xxi
  2. Natali Hritonenko, Yuri Yatsenko
    Pages 1-28
  3. Natali Hritonenko, Yuri Yatsenko
    Pages 29-84
  4. Natali Hritonenko, Yuri Yatsenko
    Pages 85-104
  5. Natali Hritonenko, Yuri Yatsenko
    Pages 105-138
  6. Natali Hritonenko, Yuri Yatsenko
    Pages 139-182
  7. Natali Hritonenko, Yuri Yatsenko
    Pages 183-240
  8. Natali Hritonenko, Yuri Yatsenko
    Pages 241-259
  9. Back Matter
    Pages 261-286

About this book

Introduction

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.

Keywords

Calculus of Variations Optimal control Transport calculus development environment mathematics modeling production science

Authors and affiliations

  • Natali Hritonenko
    • 1
  • Yuri Yatsenko
    • 2
  1. 1.Department of MathematicsPrairie View A&M UniversityPrairie ViewUSA
  2. 2.College of Business and EconomicsHouston Baptist UniversityHoustonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4419-9160-7
  • Copyright Information Kluwer Academic Publishers 2003
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-4815-3
  • Online ISBN 978-1-4419-9160-7
  • Series Print ISSN 1384-6485
  • Buy this book on publisher's site