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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…
math.NA2022
Online multiscale model reduction for nonlinear stochastic PDEs with multiplicative noise
Lijian Jiang, Mengnan Li, Meng Zhao
In this paper, an online multiscale model reduction method is presented for stochastic partial differential equations (SPDEs) with multiplicative noise, where the diffusion coeffic…