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math.NA2025
Nonlocal modeling of spatial fractional diffusion with truncated interaction domains and truncated kernel function singularity
Shiping Zhou, Yanzhi Zhang, Max Gunzburger
Parabolic partial differential equations (PDEs) are in ubiquitous, very effective use to model diffusion processes. However, there are many applications (e.g., such as in hydrology…
math.NA2025
Moment-enhanced shallow-water equations with an effective wall closure for no-slip bottoms
Shiping Zhou, Juntao Huang, Andrew J. Christlieb
Shallow-water equations and low-order shallow-water moment models use vertically coarse representations and therefore cannot, in general, resolve the thin wall-affected region prod…