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math.NA2024
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.NA2024
Partially explicit splitting scheme with explicit-implicit-null method for nonlinear multiscale flow problems
Yating Wang, Wing Tat Leung
In this work, we present an efficient approach to solve nonlinear high-contrast multiscale diffusion problems. We incorporate the explicit-implicit-null (EIN) method to separate th…
math.NA2024
Learning-based Multi-continuum Model for Multiscale Flow Problems
Fan Wang, Yating Wang, Wing Tat Leung +1
Multiscale problems can usually be approximated through numerical homogenization by an equation with some effective parameters that can capture the macroscopic behavior of the orig…