2 papers
math.NA2025
Moment-enhanced shallow water equations for non-slip boundary conditions
Shiping Zhou, Juntao Huang, Andrew J. Christlieb
The shallow water equations often assume a constant velocity profile along the vertical axis. However, this assumption does not hold in many practical applications. To better appro…
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…