3 papers
math.NA2026
Operator splitting based diffusion samplers and improved convergence analysis
Peiyi Liu, Zhaoqiang Liu, Yiqi Gu
In this paper, we develop a class of samplers for the diffusion model using the operator-splitting technique. The linear drift term and the nonlinear score-driven drift of the prob…
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…