Stability analysis of higher-order neutronics-depletion coupling schemes and Bateman operators

DOI10.1016/j.jcp.2021.110702OpenAlexW3200712137MaRDI QIDQ2134475

P. Cosgrove, E. Shwageraus

Publication date: 3 May 2022

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110702

zbMATH Keywords

stabilityneutronicsdepletionburn-up

Mathematics Subject Classification ID

Numerical linear algebra (65Fxx) Basic linear algebra (15Axx) Sequential statistical methods (62Lxx)

Uses Software

• OpenMC

Cites Work

• Stability of Monte Carlo \(k\)-eigenvalue simulations with CMFD feedback
• Derivatives of the matrix exponential and their computation
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
• Computation of the matrix exponential and its derivatives by scaling and squaring
• The complex-step derivative approximation
• A Stochastic Approximation Method

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