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math.NA2025
Data-driven optimized high-order WENO schemes with low-dissipation and low-dispersion
Jinrui Zhou, Yiqi Gu, Song Jiang +3
Classical high-order weighted essentially non-oscillatory (WENO) schemes are designed to achieve optimal convergence order for smooth solutions and to maintain non-oscillatory beha…
math.NA2025
Learning high-accuracy numerical schemes for hyperbolic equations on coarse meshes
Jinrui Zhou, Yiqi Gu, Hua Shen +3
When solving partial differential equations using classical schemes such as finite difference or finite volume methods, sufficiently fine meshes and carefully designed schemes are…
math.NA2023
An efficient class of increasingly high-order ENO schemes with multi-resolution
Hua Shen
We construct an efficient class of increasingly high-order (up to 17th-order) essentially non-oscillatory schemes with multi-resolution (ENO-MR) for solving hyperbolic conservation…