Quantization-based integration methods for delay-differential equations

doi:10.1016/j.simpat.2010.07.003

Quantization-based integration methods for delay-differential equations

2011-01-01

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François E. Cellier *

DOI：10.1016/j.simpat.2010.07.003

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This paper introduces a new class of numerical delay-differential equation solvers based on state quantization instead of time slicing The numerical properties of these algorithms i e stability and convergence are discussed and a number of benchmark problems are being simulated and compared with the state-of-the-art solutions to these problems as they have been previously reported in the open literature (C) 2010 Elsevier B V All rights reserved

Keywords:

Delay differential equation

Numerical DDE solver

State quantization

Quantized State System

PowerDEVS

Quantization-based integration methods for delay-differential equations

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