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Mathematical and Numerical Modelling in Electrical Engineering Theory and Applications

  • Michal Křížek
  • Pekka Neittaanmäki

Part of the Mathematical Modelling: Theory and Applications book series (MMTA, volume 1)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Michal Křížek, Pekka Neittaanmäki
    Pages 1-3
  3. Michal Křížek, Pekka Neittaanmäki
    Pages 4-11
  4. Michal Křížek, Pekka Neittaanmäki
    Pages 12-53
  5. Michal Křížek, Pekka Neittaanmäki
    Pages 54-97
  6. Michal Křížek, Pekka Neittaanmäki
    Pages 98-120
  7. Michal Křížek, Pekka Neittaanmäki
    Pages 121-129
  8. Michal Křížek, Pekka Neittaanmäki
    Pages 130-147
  9. Michal Křížek, Pekka Neittaanmäki
    Pages 148-161
  10. Michal Křížek, Pekka Neittaanmäki
    Pages 162-196
  11. Michal Křížek, Pekka Neittaanmäki
    Pages 197-208
  12. Michal Křížek, Pekka Neittaanmäki
    Pages 209-222
  13. Michal Křížek, Pekka Neittaanmäki
    Pages 223-235
  14. Michal Křížek, Pekka Neittaanmäki
    Pages 236-250
  15. Michal Křížek, Pekka Neittaanmäki
    Pages 251-276
  16. Back Matter
    Pages 277-300

About this book

Introduction

Mathematical modeling plays an essential role in science and engineering. Costly and time consuming experiments (if they can be done at all) are replaced by computational analysis. In industry, commercial codes are widely used. They are flexible and can be adjusted for solving specific problems of interest. Solving large problems with tens or hundreds of thousands unknowns becomes routine. The aim of analysis is to predict the behavior of the engineering and physical reality usually within the constraints of cost and time. Today, human cost and time are more important than computer cost. This trend will continue in the future. Agreement between computational results and reality is related to two factors, namely mathematical formulation of the problems and the accuracy of the numerical solution. The accuracy has to be understood in the context of the aim of the analysis. A small error in an inappropriate norm does not necessarily mean that the computed results are usable for practical purposes.

Keywords

Algebra Approximation Hilbert space Maxwell's equations electrical engineering functional analysis linear algebra linearity modeling numerical analysis numerical methods operator partial differential equation

Authors and affiliations

  • Michal Křížek
    • 1
  • Pekka Neittaanmäki
    • 2
  1. 1.Academy of SciencesPragueCzech Republic
  2. 2.University of JyväskyläJyväskyläFinland

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-015-8672-6
  • Copyright Information Springer Science+Business Media Dordrecht 1996
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-4755-7
  • Online ISBN 978-94-015-8672-6
  • Series Print ISSN 1386-2960
  • Buy this book on publisher's site
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