Numerical Simulation of Distributed Parameter Processes

✍ Scribed by Tiberiu Colosi, Mihail-Ioan Abrudean, Mihaela-Ligia Unguresan, Vlad Muresan (auth.)

• Publisher: Springer International Publishing
• Year: 2013
• Tongue: English
• Leaves: 350
• Edition: 1
• Category: Library

✦ Synopsis

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

Front Matter....Pages i-xx
Front Matter....Pages 1-1
Linear Processes Invariant in Time....Pages 3-10
Time-Varying Linear Processes....Pages 11-15
Nonlinear Processes with Lumped Parameters....Pages 17-21
Front Matter....Pages 23-23
Linear Processes with Distributed Parameters....Pages 25-43
Nonlinear Processes with Distributed Parameters....Pages 45-49
Truncated Errors of the Operator Matrix M pdx ....Pages 51-63
Front Matter....Pages 65-65
Modeling and Simulation Examples for Lumped Parameters Processes....Pages 67-82
Modeling: Simulation Examples for Distributed Parameters Processes....Pages 83-134
Case Studies for Establishing the M pdx Matrix....Pages 135-166
Partial Derivative Equations in the Cartesian Space....Pages 167-198
Parallel, Serial and with Feed-Back Connections, for the Processes Modeled Through PDE....Pages 199-229
Control Systems with Distributed and Lumped Parameters in the Cartesian Space: Cases Studies....Pages 231-281
Numerical Simulation Using Partial Differential Equations, for Propagation and Control in Discontinuous Structures Processes....Pages 283-298
Conclusions....Pages 299-302
Back Matter....Pages 303-343

✦ Subjects

Vibration, Dynamical Systems, Control; Computational Mathematics and Numerical Analysis; Partial Differential Equations; Appl.Mathematics/Computational Methods of Engineering