26 citations · 27 across the 5 of their papers we have counts for
4 papers · 1 filter
Structure-preserving Fourier Neural Operators for Long-time Cahn-Hilliard Dynamics under Coarse Temporal Supervision
Yingli Li, Y. C. Zhou
Accurate long-time prediction of Cahn-Hilliard dynamics, particularly in the late-stage coarsening regime, is computationally demanding because it requires simulations over extende…
Genetic Exponentially Fitted Method for Solving Multi-dimensional Drift-diffusion Equations
Melissa R. Swager, Y. C. Zhou
A general approach was proposed in this article to develop high-order exponentially fitted basis functions for finite element approximations of multi-dimensional drift-diffusion eq…
A practical spectral method for hyperbolic conservation laws
Y. H. Sun, Y. C. Zhou, G. W. Wei
A class of high-order lowpass filters, the discrete singular convolution (DSC) filters, is utilized to facilitate the Fourier pseudospectral method for the solution of hyperbolic c…
High resolution conjugate filters for the simulation of flows
Y. C. Zhou, G. W. Wei
This paper proposes a Hermite-kernel realization of the conjugate filter oscillation reduction (CFOR) scheme for the simulation of fluid flows. The Hermite kernel is constructed by…