Asymptotic-preserving neural networks for multiscale kinetic equations

DOI10.4208/cicp.oa-2023-0211zbMath1542.76058MaRDI QIDQ6585905

Zheng Ma, Shih Jin, Keke Wu

Publication date: 12 August 2024

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

zbMATH Keywords

conservation lawsmultiscaleeven-odd decompositionasymptotic-preserving neural networks

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Neural nets applied to problems in time-dependent statistical mechanics (82C32) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Boltzmann equations (35Q20) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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