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math.NA2023
A multi-fidelity machine learning based semi-Lagrangian finite volume scheme for linear transport equations and the nonlinear Vlasov-Poisson system
Yongsheng Chen, Wei Guo, Xinghui Zhong
Machine-learning (ML) based discretization has been developed to simulate complex partial differential equations (PDEs) with tremendous success across various fields. These learned…
math.NA2023★ 5 cited
A learned conservative semi-Lagrangian finite volume scheme for transport simulations
Yongsheng Chen, Wei Guo, Xinghui Zhong
Semi-Lagrangian (SL) schemes are known as a major numerical tool for solving transport equations with many advantages and have been widely deployed in the fields of computational f…