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math.NA2026
Analysis of Error Propagation in Autoencoder-Based Reduced-Order Neural Ordinary Differential Equations
Jingyi Zhang, Gwanghyun Jo
Neural ODE reduced-order models often achieve comparable local prediction accuracy, yet their long-horizon extrapolation behavior can differ substantially. To analyze this discrepa…
math.NA2021
Mixed virtual volume methods for elliptic problems
Gwanghyun Jo, Do Y. Kwak
We develop a class of mixed virtual volume methods for elliptic problems on polygonal/polyhedral grids. Unlike the mixed virtual element methods introduced in \cite{brezzi2014basic…
math.NA2021
Locally conservative immersed finite element method for elliptic interface problems
Gwanghyun Jo, Do Young Kwak, Young Ju Lee
In this paper, we introduce the locally conservative enriched immersed finite element method (EIFEM) to tackle the elliptic problem with interface. The immersed finite element is u…