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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. © 2010 Elsevier B.V. All rights reserved.

Registro:

Documento: Artículo
Título:Quantization-based integration methods for delay-differential equations
Autor:Castro, R.; Kofman, E.; Cellier, F.E.
Filiación:Departamento de Computación, Universidad de Buenos Aires, Argentina
Departamento de Control, FCEIA, Universidad Nacional de Rosario, Argentina
CIFASIS, CONICET, Argentina
Department of Computer Science, ETH Zurich, Switzerland
Palabras clave:Delay differential equation; Numerical DDE solver; PowerDEVS; Quantized State System; State quantization; Delay differential equations; Numerical DDE solver; PowerDEVS; Quantized state; State quantization; Convergence of numerical methods; Differential equations; Differentiation (calculus); Equations of state
Año:2011
Volumen:19
Número:1
Página de inicio:314
Página de fin:336
DOI: http://dx.doi.org/10.1016/j.simpat.2010.07.003
Título revista:Simulation Modelling Practice and Theory
Título revista abreviado:Simul. Model. Pract. Theory
ISSN:1569190X
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1569190X_v19_n1_p314_Castro

Referencias:

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Citas:

---------- APA ----------
Castro, R., Kofman, E. & Cellier, F.E. (2011) . Quantization-based integration methods for delay-differential equations. Simulation Modelling Practice and Theory, 19(1), 314-336.
http://dx.doi.org/10.1016/j.simpat.2010.07.003
---------- CHICAGO ----------
Castro, R., Kofman, E., Cellier, F.E. "Quantization-based integration methods for delay-differential equations" . Simulation Modelling Practice and Theory 19, no. 1 (2011) : 314-336.
http://dx.doi.org/10.1016/j.simpat.2010.07.003
---------- MLA ----------
Castro, R., Kofman, E., Cellier, F.E. "Quantization-based integration methods for delay-differential equations" . Simulation Modelling Practice and Theory, vol. 19, no. 1, 2011, pp. 314-336.
http://dx.doi.org/10.1016/j.simpat.2010.07.003
---------- VANCOUVER ----------
Castro, R., Kofman, E., Cellier, F.E. Quantization-based integration methods for delay-differential equations. Simul. Model. Pract. Theory. 2011;19(1):314-336.
http://dx.doi.org/10.1016/j.simpat.2010.07.003