High order methods for the integration of the Bateman equations and other problems of the form of \(y^{\prime}=F(y,t)y\)

DOI10.1016/J.JCP.2017.08.025zbMath1380.82064OpenAlexW2747183190MaRDI QIDQ1699027

Colin Josey, Benoit Forget, Kord Smith

Publication date: 16 February 2018

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.08.025

zbMATH Keywords

predictor-correctordepletionBateman equationsburnup calculationsexponential-linear

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Nuclear reactor theory; neutron transport (82D75) Numerical computation of matrix exponential and similar matrix functions (65F60)

Uses Software

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• SciPy
• CASMO
• OpenMC

Cites Work

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• An introduction to ``Almost Runge-Kutta methods
• A history of Runge-Kutta methods
• A New Scaling and Squaring Algorithm for the Matrix Exponential
• A variable order Runge-Kutta method for initial value problems with rapidly varying right-hand sides
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later

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