Quantization-based integration methods for delay-differential equations

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 wi...

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Detalles Bibliográficos
Autores principales: Castro, R., Kofman, E., Cellier, F.E.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_1569190X_v19_n1_p314_Castro
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Sumario: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. © 2010 Elsevier B.V. All rights reserved.