Overview
Defines, interprets and uses the matrix of partial derivatives of the state vector with applications in Engineering
Includes numerous applications specific to Systems Theory
Written by experts in the field
Includes supplementary material: sn.pub/extras
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Table of contents (14 chapters)
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Front Matter
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Processes with Lumped Parameters
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Front Matter
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Processes with Distributed Parameters
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Front Matter
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Simulation Examples
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Front Matter
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Back Matter
Keywords
About this book
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.
Reviews
From the reviews:
“This monographic work reflects a large experience in modeling and simulation of engineering systems. The book provides a rigorous and self-contained material for the key theoretical topics, accompanied by the description of the associated algorithms. Various classes of applications are discussed. … The exposition is suitable for graduate studies or specialized research stages … .” (Octavian Pastravanu, zbMATH, Vol. 1284, 2014)
Authors and Affiliations
Bibliographic Information
Book Title: Numerical Simulation of Distributed Parameter Processes
Authors: Tiberiu Colosi, Mihail-Ioan Abrudean, Mihaela-Ligia Unguresan, Vlad Muresan
DOI: https://doi.org/10.1007/978-3-319-00014-5
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2013
Hardcover ISBN: 978-3-319-00013-8Published: 29 May 2013
Softcover ISBN: 978-3-319-03326-6Published: 18 June 2015
eBook ISBN: 978-3-319-00014-5Published: 02 March 2013
Edition Number: 1
Number of Pages: XX, 343
Topics: Vibration, Dynamical Systems, Control, Computational Mathematics and Numerical Analysis, Partial Differential Equations, Mathematical and Computational Engineering