Physics-informed neural networks for the point kinetics equations for nuclear reactor dynamics

Annals of Nuclear Energy ◽

10.1016/j.anucene.2021.108833 ◽

2021 ◽

pp. 108833

Author(s):

Enrico Schiassi ◽

Mario De Florio ◽

Barry D. Ganapol ◽

Paolo Picca ◽

Roberto Furfaro

Keyword(s):

Neural Networks ◽

Nuclear Reactor ◽

Reactor Dynamics ◽

Point Kinetics

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Scaled neutron point kinetics (SUNPK) equations for nuclear reactor dynamics: 2D approximation

Annals of Nuclear Energy ◽

10.1016/j.anucene.2018.01.020 ◽

2018 ◽

Vol 115 ◽

pp. 377-386 ◽

Cited By ~ 3

Author(s):

Gilberto Espinosa-Paredes ◽

Carlos G. Aguilar-Madera

Keyword(s):

Nuclear Reactor ◽

Reactor Dynamics ◽

Point Kinetics

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Stochastic point-kinetics equations in nuclear reactor dynamics

Annals of Nuclear Energy ◽

10.1016/j.anucene.2004.11.009 ◽

2005 ◽

Vol 32 (6) ◽

pp. 572-587 ◽

Cited By ~ 54

Author(s):

J.G. Hayes ◽

E.J. Allen

Keyword(s):

Nuclear Reactor ◽

Reactor Dynamics ◽

Point Kinetics

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Fractional-space neutron point kinetics (F-SNPK) equations for nuclear reactor dynamics

Annals of Nuclear Energy ◽

10.1016/j.anucene.2016.08.007 ◽

2017 ◽

Vol 107 ◽

pp. 136-143 ◽

Cited By ~ 20

Author(s):

Gilberto Espinosa-Paredes

Keyword(s):

Nuclear Reactor ◽

Reactor Dynamics ◽

Point Kinetics ◽

Fractional Space

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Fractional neutron point kinetics equations for nuclear reactor dynamics – Numerical solution investigations

Annals of Nuclear Energy ◽

10.1016/j.anucene.2014.07.001 ◽

2014 ◽

Vol 73 ◽

pp. 317-329 ◽

Cited By ~ 29

Author(s):

Tomasz Karol Nowak ◽

Kazimierz Duzinkiewicz ◽

Robert Piotrowski

Keyword(s):

Numerical Solution ◽

Nuclear Reactor ◽

Reactor Dynamics ◽

Point Kinetics

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Comment on the paper: Espinosa-Parrdes, et al., 2011. Fractional neutron point kinetics equations for nuclear reactor dynamics. Ann. Nucl. Energ. 38, 307–330

Annals of Nuclear Energy ◽

10.1016/j.anucene.2015.08.023 ◽

2016 ◽

Vol 88 ◽

pp. 301-302 ◽

Cited By ~ 14

Author(s):

Ahmed E. Aboanber ◽

Abdallah A. Nahla

Keyword(s):

Nuclear Reactor ◽

Reactor Dynamics ◽

Point Kinetics

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Nuclear reactor dynamics on-line estimation by Locally Recurrent Neural Networks

Progress in Nuclear Energy ◽

10.1016/j.pnucene.2008.11.006 ◽

2009 ◽

Vol 51 (3) ◽

pp. 573-581 ◽

Cited By ~ 15

Author(s):

Enrico Zio ◽

Matteo Broggi ◽

Nicola Pedroni

Keyword(s):

Neural Networks ◽

Recurrent Neural Networks ◽

Nuclear Reactor ◽

Reactor Dynamics ◽

On Line ◽

Locally Recurrent

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Higher-order approximate solutions of fractional stochastic point kinetics equations in nuclear reactor dynamics

Nuclear Science and Techniques ◽

10.1007/s41365-019-0566-6 ◽

2019 ◽

Vol 30 (3) ◽

Cited By ~ 3

Author(s):

S. Singh ◽

S. Saha Ray

Keyword(s):

Nuclear Reactor ◽

Approximate Solutions ◽

Higher Order ◽

Reactor Dynamics ◽

Point Kinetics

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Developed mathematical technique for fractional stochastic point kinetics model in nuclear reactor dynamics

Nuclear Science and Techniques ◽

10.1007/s41365-018-0467-0 ◽

2018 ◽

Vol 29 (9) ◽

Cited By ~ 5

Author(s):

Ahmed E. Aboanber ◽

Abdallah A. Nahla ◽

Adel M. Edress

Keyword(s):

Nuclear Reactor ◽

Kinetics Model ◽

Mathematical Technique ◽

Reactor Dynamics ◽

Point Kinetics

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A note on “Comment on the paper: Espinosa-Paredes, et al., 2011. Fractional neutron point kinetics equations for nuclear reactor dynamics. Ann. Nucl. Energ. 38, 307–330.” by A. E. Aboanber, A. A. Nahla

Annals of Nuclear Energy ◽

10.1016/j.anucene.2016.01.012 ◽

2016 ◽

Vol 91 ◽

pp. 215-216 ◽

Cited By ~ 6

Author(s):

Gilberto Espinosa-Paredes

Keyword(s):

Nuclear Reactor ◽

Reactor Dynamics ◽

Point Kinetics

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Fractional neutron point kinetics equations for nuclear reactor dynamics

Annals of Nuclear Energy ◽

10.1016/j.anucene.2010.10.012 ◽

2011 ◽

Vol 38 (2-3) ◽

pp. 307-330 ◽

Cited By ~ 82

Author(s):

Gilberto Espinosa-Paredes ◽

Marco-A. Polo-Labarrios ◽

Erick-G. Espinosa-Martínez ◽

Edmundo del Valle-Gallegos

Keyword(s):

Nuclear Reactor ◽

Reactor Dynamics ◽

Point Kinetics

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