Numerical Simulation of Distributed Parameter Processes
By: by Tiberiu Colosi, Mihail-Ioan Abrudean, Mihaela-Ligia Unguresan, Vlad Muresan
Contributors: Abrudean, Mihail-Ioan; Unguresan, Mihaela-Ligia; Muresan, Vlad; SpringerLink (Online service)
Publisher: Springer International Publishing; Imprint: Springer
Published: 2013
Place of publication: Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 343
ISBN-13: 9783319000145
Subjects: Partial Differential equations; Computational Mathematics and Numerical Analysis; Vibration; Appl.Mathematics/Computational Methods of Engineering; Engineering; Engineering mathematics; Computer science; Mathematics; Vibration, Dynamical Systems, Control
Description: 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.
Table of contents: title: Ist PART: PROCESSES WITH LUMPED PARAMETERS; title: Linear processes invariant in time; title: Time varying linear processes; title: Non-linear processes with lumped parameters; title: IInd PART: PROCESSES WITH DISTRIBUTED PARAMETERS; title: Linear processes with distributed parameters; title: IIIrd PART: SIMULATION EXAMPLES; title: Modeling and simulation examples of lumped parameters processes; title: Modeling and simulation examples for distributed parameters processes; title: Case studies for establishing the Mpdx matrix; title: Partial derivative equations in the Cartesian Space; title: Parallel, serial and with feed-back connection, for the processes modeled through PDE; title: Control system with distributed and lumped parameters in the Cartesian space – cases studies; title: Numerical simulation using partial differential equations, for propagation and control in discontinuous structures processes; title: Conclusions.