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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…
math.NA2025
Multiscale Partially Explicit Splitting with Mass Lumping for High-Contrast Wave Equations
Shu Fan Li, Wing Tat Leung
In this paper, contrast-independent partially explicit time discretization for wave equations in heterogeneous high-contrast media via mass lumping is concerned. By employing a mas…
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…