A numerical solution to the nonlinear point kinetics equations using Magnus expansion
Author:
Publisher
Elsevier BV
Subject
Nuclear Energy and Engineering
Reference17 articles.
1. Generalization of the analytical inverse method for the solution of point kinetics equations;Aboanber;J. Phys. A: Math. Gen.,2002
2. Solution of the point kinetics equations in the presence of Newtonian temperature feedback by Pade approximation via the analytical inversion method;Aboanber;J. Phys. A: Math. Gen.,2002
3. Analytical solution of the point kinetics equations by exponential mode analysis;Aboanber;Prog. Nucl. Energy,2003
4. Comparison of methods for evaluating functions of a matrix exponential;Ashi;Appl. Numer. Math.,2009
5. The Magnus expansion and some of its applications;Blanes;Phys. Rep.,2009
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1. Physics-informed neural networks for the point kinetics equations for nuclear reactor dynamics;Annals of Nuclear Energy;2022-03
2. On the numerical solution of the point reactor kinetics equations;Nuclear Engineering and Technology;2020-06
3. Design and stability analysis of an implicit non-standard finite difference scheme for fractional neutron point kinetic equation;Applied Numerical Mathematics;2019-11
4. Stability preservation in the numerical treatment of a nuclear reactor;Annals of Nuclear Energy;2019-10
5. An implicit finite difference method for solving the corrected fractional neutron point kinetics equations;Progress in Nuclear Energy;2019-07
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