Numerical Simulation of Distributed Parameter Processes

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), includin...

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Auteurs principaux: Colosi, Tiberiu. (Auteur, http://id.loc.gov/vocabulary/relators/aut), Abrudean, Mihail-Ioan. (http://id.loc.gov/vocabulary/relators/aut), Unguresan, Mihaela-Ligia. (http://id.loc.gov/vocabulary/relators/aut), Muresan, Vlad. (http://id.loc.gov/vocabulary/relators/aut)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:English
Publié: Cham : Springer International Publishing : Imprint: Springer, 2013.
Édition:1st ed. 2013.
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Accès en ligne:https://doi.org/10.1007/978-3-319-00014-5
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245 1 0 |a Numerical Simulation of Distributed Parameter Processes  |h [electronic resource] /  |c by Tiberiu Colosi, Mihail-Ioan Abrudean, Mihaela-Ligia Unguresan, Vlad Muresan. 
250 |a 1st ed. 2013. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2013. 
300 |a XX, 343 p.  |b online resource. 
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505 0 |a Ist PART: PROCESSES WITH LUMPED PARAMETERS -- Linear processes invariant in time -- Time varying linear processes -- Non-linear processes with lumped parameters -- IInd PART: PROCESSES WITH DISTRIBUTED PARAMETERS -- Linear processes with distributed parameters -- IIIrd PART: SIMULATION EXAMPLES -- Modeling and simulation examples of lumped parameters processes -- Modeling and simulation examples for distributed parameters processes -- Case studies for establishing the Mpdx matrix -- Partial derivative equations in the Cartesian Space -- Parallel, serial and with feed-back connection, for the processes modeled through PDE -- Control system with distributed and lumped parameters in the Cartesian space – cases studies -- Numerical simulation using partial differential equations, for propagation and control in discontinuous structures processes -- Conclusions. 
520 |a 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. 
650 0 |a Vibration. 
650 0 |a Dynamical systems. 
650 0 |a Dynamics. 
650 0 |a Computer mathematics. 
650 0 |a Partial differential equations. 
650 0 |a Applied mathematics. 
650 0 |a Engineering mathematics. 
650 1 4 |a Vibration, Dynamical Systems, Control.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/T15036 
650 2 4 |a Computational Mathematics and Numerical Analysis.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/M1400X 
650 2 4 |a Partial Differential Equations.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/M12155 
650 2 4 |a Mathematical and Computational Engineering.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/T11006 
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700 1 |a Unguresan, Mihaela-Ligia.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Muresan, Vlad.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
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