June 16-19, 2008
Grand Challenges in Modeling & Simulation 2008 (GCMS'08)
Part of the 2008 Summer Simulation Multiconference (SummerSim'08)
The talk introduces a new family of numerical ODE solvers called Quantized State System (QSS) methods. Given a set of ODEs in its state space representation, the QSS methods replace the classic time slicing by a quantization of the states, leading to an asynchronous discrete event simulation model instead of a discrete time difference equation model.
It will be shown that the QSS methods applied to stable linear time-invariant systems give always practically stable numerical results, irrespective of the quantization adopted. Taking into account that the QSS methods are explicit algorithms, this property has strong theoretical implications and offers a promising perspective for applications such as real-time simulation of stiff systems, where implicit solutions are usually unacceptable.
We shall also discuss the main properties of the methods in the context of simulating discontinuous systems (the asynchronous nature of these algorithms gives them important advantages for discontinuity handling) as well as marginally stable (Hamiltonian) systems, and we shall present some application examples as well as a software simulation tool that implements the QSS methods.
Bio. of Dr. Cellier
François E. Cellier received his BS degree in electrical engineering in 1972,
his MS degree in automatic control in 1973, and his PhD degree in technical
sciences in 1979, all from the Swiss Federal Institute of Technology (ETH)
Zurich. Dr. Cellier worked at the University of Arizona as professor of
Electrical and Computer Engineering from 1984 until 2005. He recently returned
to his home country of Switzerland. Dr. Cellier's main scientific interests
concern modeling and simulation methodologies, and the design of advanced
software systems for simulation, computer aided modeling, and computer-aided
design. Dr. Cellier has authored or co-authored more than 200 technical
publications, and he has edited several books. He published a textbook on
Continuous System Modeling in 1991 and a second textbook on Continuous System
Simulation in 2006, both with Springer-Verlag, New York.
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