Quantization-based Integration Methods for Delay-differential Equations

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Abstract

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.

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Last modified: August 1, 2010 -- © François Cellier