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Mathematical and Numerical Modelling in Electrical Engineering Theory and Applications
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Catalogue Information
Field name
Details
Dewey Class
518
Title
Mathematical and Numerical Modelling in Electrical Engineering Theory and Applications ([EBook]) / by Michal Křížek, Pekka Neittaanmäki.
Author
Křížek, Michal
Added Personal Name
Neittaanmäki, Pekka , 1951-
Other name(s)
SpringerLink (Online service)
Publication
Dordrecht : Springer , 1996.
Physical Details
XIII, 300 pages : online resource.
Series
Mathematical modelling : theory and applications
1386-2960 ; ; 1
ISBN
9789401586726
Summary Note
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.:
Contents note
1. Introduction -- 2. Mathematical modelling of physical phenomena -- 3. Mathematical background -- 4. Finite elements -- 5. Conjugate gradients -- 6. Magnetic potential of transformer window -- 7. Calculation of nonlinear stationary magnetic fields -- 8. Steady-state radiation heat transfer problem -- 9. Nonlinear anisotropic heat conduction in a transformer magnetic core -- 10. Stationary semiconductor equations -- 11. Nonstationary heat conduction in a stator -- 12. The time-harmonic Maxwell equations -- 13. Approximation of the Maxwell equations in anisotropic inhomogeneous media -- 14. Methods for optimal shape design of electrical devices -- References -- Author index.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-94-015-8672-6
Links to Related Works
Subject References:
Applications of Mathematics
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Applied mathematics
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Computational Mathematics and Numerical Analysis
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Functional Analysis
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Mathematical Modeling and Industrial Mathematics
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Mathematics
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Partial differential equations
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Authors:
author
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Křížek, Michal
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Neittaanmäki, Pekka 1951-
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Corporate Authors:
SpringerLink (Online service)
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Series:
Mathematical modelling : theory and applications
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Classification:
518
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