3 papers
math.NA2026
Parallel in time partially explicit splitting scheme for high contrast linear multiscale diffusion problems
Yating Wang, Zhengya Yang, Wing Tat Leung
Solving multiscale diffusion problems is often computationally expensive due to the spatial and temporal discretization challenges arising from high-contrast coefficients. To addre…
math.NA2025
Deep Global Model Reduction Learning in Porous Media Flow Simulation
Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev +3
In this paper, we combine deep learning concepts and some proper orthogonal decomposition (POD) model reduction methods for predicting flow in heterogeneous porous media. Nonlinear…
math.NA2025
An exponential integrator multicontinuum homogenization method for fractional diffusion problem with multiscale coefficients
Yifei Gao, Yating Wang, Wing Tat Leung +1
In this paper, we present a robust and fully discretized method for solving the time fractional diffusion equation with high-contrast multiscale coefficients. We establish the homo…