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
Materias:
Delay differential equation
Numerical DDE solver
PowerDEVS
Quantized State System
State quantization
Delay differential equations
Quantized state
Convergence of numerical methods
Differential equations
Differentiation (calculus)
Equations of state
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_1569190X_v19_n1_p314_Castro
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_1569190X_v19_n1_p314_Castro
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spelling todo:paper_1569190X_v19_n1_p314_Castro2023-10-03T16:26:45Z Quantization-based integration methods for delay-differential equations Castro, R. Kofman, E. Cellier, F.E. 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 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_1569190X_v19_n1_p314_Castro
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic 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
spellingShingle 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
Castro, R.
Kofman, E.
Cellier, F.E.
Quantization-based integration methods for delay-differential equations
topic_facet 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
description 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.
format JOUR
author Castro, R.
Kofman, E.
Cellier, F.E.
author_facet Castro, R.
Kofman, E.
Cellier, F.E.
author_sort Castro, R.
title Quantization-based integration methods for delay-differential equations
title_short Quantization-based integration methods for delay-differential equations
title_full Quantization-based integration methods for delay-differential equations
title_fullStr Quantization-based integration methods for delay-differential equations
title_full_unstemmed Quantization-based integration methods for delay-differential equations
title_sort quantization-based integration methods for delay-differential equations
url http://hdl.handle.net/20.500.12110/paper_1569190X_v19_n1_p314_Castro
work_keys_str_mv AT castror quantizationbasedintegrationmethodsfordelaydifferentialequations
AT kofmane quantizationbasedintegrationmethodsfordelaydifferentialequations
AT cellierfe quantizationbasedintegrationmethodsfordelaydifferentialequations
_version_ 1807315291603992576

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