Welcome! I am Shiping Zhou, currently a postdoctoral research associate in the Department of Computational Mathematics, Science and Engineering (CMSE) at Michigan State University (MSU), working under the supervision of Dr. Andrew Christlieb.

Before joining MSU, I received my Ph.D. in the Department of Mathematics and Statistics at Missouri University of Science and Technology in May 2024, under the guidance of Dr. Yanzhi Zhang.

My research primarily focuses on the following areas:

1. Nonlocal modeling and numerical methods designing
   This includes the development of nonlocal models motivated by physics, such as collision operators in palsma physics (e.g., the Fokker-Planck-Landau and Boltzmann equations), as well as nonlocal models for anomalous diffusion, fractional Laplacians, truncated fractional Laplacians, and their spatially dependent variants, as well as the design and analysis of numerical methods for these models.

2. Shallow water moment models
   As simplified models of the Navier–Stoeks equations, these aim to capture as many physical properties as possible while keep the computational cost manageable. Examples include physical quantities such as vertical velocity, dry-wet bed dynamics, Coriolis forces, and thermal effects in fluids.

3. Machine learning for nonlocal models
   Combining model development with numerical methods, I am interested in applying neural network techniques to learn and solve nonlocal models, including learning physical quantities (or entire models) directly from experimentally observed data.