Numerical Simulation of Distributed Parameter Processes

  • Tiberiu Colosi
  • Mihail-Ioan Abrudean
  • Mihaela-Ligia Unguresan
  • Vlad Muresan

Table of contents

  1. Front Matter
    Pages i-xx
  2. Processes with Lumped Parameters

    1. Front Matter
      Pages 1-1
    2. Tiberiu Colosi, Mihail-Ioan Abrudean, Mihaela-Ligia Unguresan, Vlad Muresan
      Pages 3-10
    3. Tiberiu Colosi, Mihail-Ioan Abrudean, Mihaela-Ligia Unguresan, Vlad Muresan
      Pages 11-15
    4. Tiberiu Colosi, Mihail-Ioan Abrudean, Mihaela-Ligia Unguresan, Vlad Muresan
      Pages 17-21
  3. Processes with Distributed Parameters

    1. Front Matter
      Pages 23-23
    2. Tiberiu Colosi, Mihail-Ioan Abrudean, Mihaela-Ligia Unguresan, Vlad Muresan
      Pages 25-43
    3. Tiberiu Colosi, Mihail-Ioan Abrudean, Mihaela-Ligia Unguresan, Vlad Muresan
      Pages 45-49
    4. Tiberiu Colosi, Mihail-Ioan Abrudean, Mihaela-Ligia Unguresan, Vlad Muresan
      Pages 51-63
  4. Simulation Examples

    1. Front Matter
      Pages 65-65
    2. Tiberiu Colosi, Mihail-Ioan Abrudean, Mihaela-Ligia Unguresan, Vlad Muresan
      Pages 67-82
    3. Tiberiu Colosi, Mihail-Ioan Abrudean, Mihaela-Ligia Unguresan, Vlad Muresan
      Pages 83-134
    4. Tiberiu Colosi, Mihail-Ioan Abrudean, Mihaela-Ligia Unguresan, Vlad Muresan
      Pages 135-166
    5. Tiberiu Colosi, Mihail-Ioan Abrudean, Mihaela-Ligia Unguresan, Vlad Muresan
      Pages 167-198
    6. Tiberiu Colosi, Mihail-Ioan Abrudean, Mihaela-Ligia Unguresan, Vlad Muresan
      Pages 199-229
    7. Tiberiu Colosi, Mihail-Ioan Abrudean, Mihaela-Ligia Unguresan, Vlad Muresan
      Pages 231-281
    8. Tiberiu Colosi, Mihail-Ioan Abrudean, Mihaela-Ligia Unguresan, Vlad Muresan
      Pages 283-298
    9. Tiberiu Colosi, Mihail-Ioan Abrudean, Mihaela-Ligia Unguresan, Vlad Muresan
      Pages 299-302
  5. Back Matter
    Pages 303-343

About this book

Introduction

The present monograph defines, interprets and uses the matrix of partial derivatives of the state vector with applications for the study of some common categories of engineering. The book covers broad categories of processes that are formed by systems of partial derivative equations (PDEs), including systems of ordinary differential equations (ODEs). The work includes numerous applications specific to Systems Theory based on Mpdx, such as parallel, serial as well as feed-back connections for the processes defined by PDEs. For similar, more complex processes based on Mpdx with PDEs and ODEs as components, we have developed control schemes with PID effects for the propagation phenomena, in continuous media (spaces) or discontinuous ones (chemistry, power system, thermo-energetic) or in electro-mechanics (railway – traction) and so on.

The monograph has a purely engineering focus and is intended for a target audience working in extremely diverse fields of application (propagation phenomena, diffusion, hydrodynamics, electromechanics) in which the use of PDEs and ODEs is justified.

Keywords

Diffusion Phenomena Distributed Parameter Processes Hydrodynamics Lumped Parameter Processes Partial Differential Equations Propagation Phenomena State Vector

Authors and affiliations

  • Tiberiu Colosi
    • 1
  • Mihail-Ioan Abrudean
    • 2
  • Mihaela-Ligia Unguresan
    • 3
  • Vlad Muresan
    • 4
  1. 1., Faculty of Automation andTechnical University of Cluj-NapocaCluj-NapocaRomania
  2. 2., Faculty of Automation andTechnical University of Cluj-NapocaCluj-NapocaRomania
  3. 3., Faculty of Materials Science andTechnical University of Cluj-NapocaCluj-NapocaRomania
  4. 4., Faculty of Automation andTechnical University of Cluj-NapocaCluj-NapocaRomania

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-00014-5
  • Copyright Information Springer International Publishing Switzerland 2013
  • Publisher Name Springer, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-319-00013-8
  • Online ISBN 978-3-319-00014-5
  • About this book
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