Dufek, J and Kotlyar, D and Shwageraus, E and Leppänen, J (2013) Numerical stability of the predictor-corrector method in Monte Carlo burnup calculations of critical reactors. Annals of Nuclear Energy, 56. pp. 34-38. ISSN 0306-4549Full text not available from this repository.
Monte Carlo burnup codes use various schemes to solve the coupled criticality and burnup equations. Previous studies have shown that the simplest methods, such as the beginning-of-step and middle-of-step constant flux approximations, are numerically unstable in fuel cycle calculations of critical reactors. Here we show that even the predictor-corrector methods that are implemented in established Monte Carlo burnup codes can be numerically unstable in cycle calculations of large systems. © 2013 Elsevier Ltd. All rights reserved.
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