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math.NA2026
Topological spectral gap, multiscale Weyl's law, and homogenization in high-contrast PDEs
Eric T. Chung, Lijian Jiang, Yajun Wang
This paper introduces a unified abstract variational and topological framework to characterize the spectral gap and eigenvalue distribution in high-contrast multiscale partial diff…
math.NA2026
Decoupling scales via localized subspace iteration and temporal splitting for multiscale parabolic equations
Eric T. Chung, Lijian Jiang, Mengnan Li +1
Simulating diffusion in heterogeneous media presents a significant computational challenge, as resolving microscopic physical scales traditionally demands excessively fine computat…