3 papers
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…
stat.ML2026
Coupling-Informed Transport Maps for Bayesian Filtering in Nonlinear Dynamical Systems
Dengfei Zeng, Lijian Jiang, Shuyu Sun +1
A likelihood-free transport filtering method is proposed based on the couplings between state and observation variables. By exploiting a block-triangular structure in the transport…
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…