Solving the discretised neutron diffusion equations using neural networks

DOI10.1002/nme.7321arXiv2301.09939MaRDI QIDQ6082621

Christopher C. Pain, Claire E. Heaney, Unnamed Author, Andrew G. Buchan, Bo-Yang Chen

Publication date: 30 November 2023

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.09939

zbMATH Keywords

finite difference methodfinite volume methodmultigrid solverneutron diffusion equationconvolutional neural networkreactor physicsnumerical solution of partial differential equationsU-net

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Learning and adaptive systems in artificial intelligence (68T05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Finite difference methods for boundary value problems involving PDEs (65N06) Nuclear reactor theory; neutron transport (82D75) Finite volume methods for boundary value problems involving PDEs (65N08) Computational issues in computer and robotic vision (65D19)

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