Congress detail

Authors: Rodrigo Castro; Ernesto Kofman.

Resumen: Abstract. In this work we present an analytical expression that generalizes the definition of activity measure in continuous time signals. We define the activity of order n and show that it allows to estimate the number of sections of polinomials up to order n that are needed to represent that signal with certain accuracy. We apply this concept to obtain a lower bound for the number of steps performed by quantization?based integration algorithms in the simulation of ordinary differential equations. We performed a practical analysis over a first order example system, computing the activity of order n and comparing it with the number of steps required integration methods of different orders. Wecorroborated the theoretical predictions, which indicate that the activity measure can be used as a reference for assessing the suitability of different algorithms depending on how close they perform in comparison with the theoretical lower bound. Finally, a discussion is provided which indicates that further research is needed in order to test the resultspresented in this work in the context of stiff systems.

Meeting type: Workshop.

Type of job: Artículo Completo.

Production: An n--th Order Generalization of the Activity Measure for Continuous Systems.

Scientific meeting: Activity-Based Modeling & Simulation 2014.

Meeting place: Zurich.

Organizing Institution: ETH Zurich.

It's published?: Yes

Publication place: Paris

Meeting month: 1

Year: 2014.

Link: here