A resolution-enhanced seventh-order weighted essentially non-oscillatory scheme based on non-polynomial reconstructions for solving hyperbolic conservation laws

SQ Han, WP Song, ZH Han, JH Xu - Physics of Fluids, 2024 - pubs.aip.org
In high-resolution numerical simulations of flows characterized by both multiscale turbulence
and discontinuities, the conflict between spectral characteristics and stability becomes …

A third-order finite difference weighted essentially non-oscillatory scheme with shallow neural network

K Park, X Chen, D Lee, J Gu, JH Jung - arXiv preprint arXiv:2407.06333, 2024 - arxiv.org
In this paper, we introduce the finite difference weighted essentially non-oscillatory (WENO)
scheme based on the neural network for hyperbolic conservation laws. We employ the …

[引用][C] Deep learning enhanced numerical schemes

T Kossaczká - Dissertation, Wuppertal, Bergische …