In this work, we attempt to bring together the origins, main results, and recent advances on discrete-event simulation of continuous-time systems. Starting from the early approaches that aimed to represent continuous-...
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In this work, we attempt to bring together the origins, main results, and recent advances on discrete-event simulation of continuous-time systems. Starting from the early approaches that aimed to represent continuous-time dynamics within the discrete-event system specification (DEVS) formalism framework, the work shows how these ideas gave place to the formalization of the quantized state system (QSS) family of numerical integration algorithms. Then, we describe the QSS algorithms, their properties, their extensions, and the main practical software tools implementing them. We also present a selection of simulation examples illustrating the main features and advantages through comparisons with state-of-the-art continuous-time simulation solvers.
This article presents a new numerical method for integration of ordinary differential equations based on state variable quantization. Using the idea of implicit integration, the new method called BQSS (Backward Quanti...
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This article presents a new numerical method for integration of ordinary differential equations based on state variable quantization. Using the idea of implicit integration, the new method called BQSS (Backward Quantized State Systems) allows integrating stiff systems in an efficient way. Being the first quantization-based method for stiff systems, BQSS is itself an explicit method, so the contribution is important in the general context of numerical integration. Besides introducing the method, the article studies its main theoretical properties, discusses some practical issues related to the algorithm implementation and presents simulation results. Copyright (C) 2007 CEA-IFAC.
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