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1
Academic Journal
Data simulation of optimal model for numerical solution of differential equations based on deep learning and genetic algorithm

Authors: Jing, LiAff1, IDs00500023082087_cor1

Superior Title: Soft Computing: A Fusion of Foundations, Methodologies and Applications. :1-8

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2
Academic Journal
Efficient direct sampling type methods for some inverse problems

Contributors: Han, Fuqun (author.), Zou, Jun , 1962- (thesis advisor.), Chinese University of Hong Kong Graduate School. Division of Mathematics. (degree granting institution.)

Subject Terms: Inverse problems (Differential equations)--Numerical solutions, Sampling (Statistics), QA378.5 .H36 2020eb

File Description: electronic resource; remote; 1 online resource (ix, 81 leaves) : illustrations (chiefly color); computer; online resource

Availability: https://julac.hosted.exlibrisgroup.com/primo-explore/search?query=addsrcrid,exact,991040013774503407,AND&tab=default_tab&search_scope=All&vid=CUHK&mode=advanced&lang=en_US
https://repository.lib.cuhk.edu.hk/en/item/cuhk-2628012


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4
Academic Journal
Neutron density calculation using the generalised adams-bashforth-moulton method ; Cálculo da densidade de nêutrons usando o método generalizado de Adams-Bashforth-Moulton ; Cálculo de densidad de neutrones utilizando el método generalizado de Adams-Bashforth-Moulton

Authors: Suescún-Díaz, Daniel, Rasero, Diego, Lozano Parada, Jaime Humberto

Subject Terms: Reacciones nucleares, Ecuaciones diferenciales con retardo - Soluciones numéricas, Nuclear reactions, Delay differential equations - Numerical solutions, Nuclear reactor power, Nuclear density, Point kinetics equations, Numerical methods, Densidade nuclear, Potência do reator nuclear, Métodos numéricos, Equações da cinetica pontual

File Description: 21 páginas; application/pdf

Relation: Volumen 24, número 3 (2019); 563; 543; 24; Suescún Díaz, D., Rasero Causil, D.A., Lozano Parada, J.H. (2019). Neutron Density Calculation Using the Generalised Adams-Bashforth-Moulton Method. Universitas Scientiarum. Pontificia Universidad Javeriana. (Vol. 24 (3), pp. 543-563, 2019. doi:10.11144/Javeriana.SC24-3.ndcu; Universitas Scientiarum; [1] Chao YA, Attard A. A resolution of the stiffness problem of reactor kinetics, Nuclear Science and Engineering, 90(1):40-46, 1985. doi:10.13182/NSE85-A17429; [2] Sánchez J. On the numerical solution of the point reactor kinetics equations by generalized Runge-Kutta methods, Nuclear Science and Engineering, 103: 94-99, 1989. doi:10.13182/NSE89-A23663; [3] Aboanber AE, Nahla AA. Solution of the point kinetics equations in the presence of Newtonian temperature feedback by Padé approximation via the analytical inversion method, Journal of Physics A: Mathematical and General, 35(45):9609-9627, 2002b. doi:10.1088/0305-4470/35/45/309; [4] Aboanber AE, Nahla AA. Generalization of the analytical inverse method for the solution of point kinetics equations, Journal of Physics A: Mathematical and General, 35(14): 3245-3263, 2002a. doi:10.1088/0305-4470/35/14/307; [5] Aboanber AE. Analytical solution of the point kinetics equations by exponential mode analysis, Progress in Nuclear Energy, 42(2): 179-197, 2003. doi:10.1016/s0140-6701(03)82201-4; [6] Kinard, M.; Allen, E. J.: Efficient numerical solution of the point kinetics equations in nuclear reactor dynamics, Annals of Nuclear Energy, 31(9): 1039-1051, 2004. doi:10.1016/j.anucene.2003.12.008; [7] Quintero LB. CORE: a numerical algorithm to solve the point kinetics equations, Annals of Nuclear Energy, 35(11): 2136-2138, 2008. doi:10.1016/j.anucene.2008.07.002; [8] Li H, Chen W, Luo L, Zhu Q. A new integral method for solving the point reactor neutron kinetics equations, Annals of Nuclear Energy, 36(4): 427-432, 2009. doi:10.1016/j.anucene.2008.11.033; [9] Nahla, A. A.: Taylor series method for solving the nonlinear point kinetics equations, Nuclear Engineering and Design, 241(5): 1592-1595, 2011. doi:10.1016/j.nucengdes.2011.02.016; [10] Hamada, Y. M.: Generalized power series method with step size control for neutron kinetics equations, Nuclear Engineering and Design, 241(8): 3032-3041, 2011. doi:10.1016/j.nucengdes.2011.05.006; [11] Hamada YM. Confirmation of accuracy of generalized power series method for the solution of point kinetics equations with feedback, Annals of Nuclear Energy, 55: 184-193, 2013. doi:10.1016/j.anucene.2012.12.013; [12] Ganapol BD. A highly accurate algorithm for the solution of the point kinetics equations, Annals of Nuclear Energy, 62: 564- 571, 2013. doi:10.1016/j.anucene.2012.06.007; [13] Picca P, Furfaro R, Ganapol B. A highly accurate technique for the solution of the non-linear point kinetics equations, Annals of Nuclear Energy, 58: 43-53, 2013. doi:10.1016/j.anucene.2013.03.004; [14] Salah A. Hassan SA. Samia.: The Analytical Algorithm for the Differential Transform Method to Solution of the Reactor Point kinetics Equations, World Applied Sciences Journal, 27(3):367-370, 2013. doi:10.5829/idosi.wasj.2013.27.03.1601; [15] Kim HT, Park Y, Kazantzis N, Parlos A, Vista IV F, Chong KT. A numerical solution to the point kinetic equations using Taylor-Lie series combined with a scaling and squaring technique, Nuclear Engineering and Design, 272: 1-10, 2014. doi:10.1016/j.nucengdes.2013.12.066; [16] Patra A, Ray SS. A numerical approach based on Haar wavelet operational method to solve neutron point kinetics equation involving imposed reactivity insertions, Annals of Nuclear Energy, 68: 112-117, 2014. doi:10.1016/j.anucene.2014.01.008; [17] Leite QB, Palma AP, Vilhena MT, Bodmann EJ. Analytical representation of the solution of the point reactor kinetics equations with adaptive time step, Progress in Nuclear Energy, 70: 112-118, 2014. doi:10.1016/j.pnucene.2013.07.008; [18] Hamada YM. Trigonometric Fourier-series solutions of the point reactor kinetics equations. Nuclear Engineering and Design, 281: 142-153, 2015. doi:10.1016/j.nucengdes.2014.11.017; [19] Razak MA, Devan K, Sathiyasheela T. The modified exponential time differencing (ETD) method for solving the reactor point kinetics equations, Annals of Nuclear Energy, 76: 193-199, 2015. doi:10.1016/j.anucene.2014.09.020; [20] Nahla AA. Numerical treatment for the point reactor kinetics equations using theta method, eigenvalues and eigenvectors, Progress in Nuclear Energy, 85: 756-763, 2015. doi:10.1016/j.pnucene.2015.09.008; [21] Suescún DD, Narváez PM, Lozano PH. Calculation of Nuclear Reactivity Using the Generalised Adams Bashforth-Moulton Predictor-Corrector Method, Kerntechnik, 81(1): 86-93, 2016. doi:10.3139/124.110591; [22] Yun C, Xingjie P, Qing L, Kan W. A numerical solution to the nonlinear point kinetics equations using Magnus expansion, Annals of Nuclear Energy, 89: 84-89, 2016. doi:10.1016/j.anucene.2015.11.021; [23] Duderstadt JJ, Hamilton LJ. Nuclear Reactor Analysis, second ed. John Wiley & Sons Inc., New York, 1976; 1227483; https://hdl.handle.net/10614/13432

Availability: https://doi.org/10.11144/Javeriana.SC24-3.ndcu
https://doi.org/10.13182/NSE85-A17429
https://doi.org/10.13182/NSE89-A23663
https://doi.org/10.1088/0305-4470/35/45/309
https://doi.org/10.1088/0305-4470/35/14/307
https://doi.org/10.1016/s0140-6701(03)82201-4
https://doi.org/10.1016/j.anucene.2003.12.008
https://doi.org/10.1016/j.anucene.2008.07.002
https://doi.org/10.1016/j.anucene.2008.11.033
https://doi.org/10.1016/j.nucengdes.2011.02.016


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7
Academic Journal
Numerical methods and their analyses for backward Stochastic differential equations

Contributors: Zhang, Yufei (author.), Zou, Jun , 1962- (thesis advisor.), Chinese University of Hong Kong Graduate School. Division of Mathematics. (degree granting institution.)

Subject Terms: Stochastic differential equations--Numerical solutions, Stochastic processes, QA274.23 .Z63 2017eb

File Description: electronic resource; remote; 1 online resource (82 leaves) : illustrations (some color); computer; online resource

Availability: https://julac.hosted.exlibrisgroup.com/primo-explore/search?query=addsrcrid,exact,991039531367003407,AND&tab=default_tab&search_scope=All&vid=CUHK&mode=advanced&lang=en_US
https://repository.lib.cuhk.edu.hk/en/item/cuhk-1839481


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