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math.NA2026
Memory-Augmented Phase-Field Modeling: Onsager Formulation, Internal-Variable Lifting, and Structure-Preserving Computation
Peng Ding, Qingxia Liu, Zhiping Mao +1
In this work, we develop a general memory-augmented phase-field (MAPF) framework based on Onsager's variational principle, in which memory effects are incorporated through a genera…
math.NA2026
ViT-K: A Few-Shot Learning Model for Coupled Fluid-Porous Media Flows with Interface Conditions
Mengjia Chen, Changxin Qiu, Zhiping Mao +1
The numerical simulation of interaction between free flow and porous media, governed by coupled Stokes/Navier--Stokes--Darcy flows, is critical for understanding fluid filtration a…
math.NA2025
A novel class of arbitrary high-order numerical schemes for fractional differential equations
Peng Ding, Zhiping Mao
A novel efficient and high accuracy numerical method for the time-fractional differential equations (TFDEs) is proposed in this work. We show the equivalence between TFDEs and the…