A Numerical Study of Quantization-Based Integrators

Abstract

Adaptive step size solvers are nowadays considered fundamental to achieve ef- ficient ODE integration. While, traditionally, ODE solvers have been designed based on discrete time machines, new approaches based on discrete event systems have been pro- posed. Quantization provides an efficient integration technique based on signal threshold crossing, leading to independent and modular solvers communicating through discrete events. These solvers can benefit from the large body of knowledge on discrete event simulation techniques, like parallelization, to obtain efficient numerical integration. In this paper we introduce new solvers based on quantization and adaptive sampling tech- niques. Preliminary numerical results comparing these solvers are presented.