Shiping Zhou (周世平)

Shiping Zhou (周世平)

Michigan State University

📝 Publications

  1. Nonlocal modeling of spatial fractional diffusion with truncated interaction domains and truncated kernel function singularity, S. Zhou, Y. Zhang, M. Gunzburger, submitted (2025).
  2. Moment-enhanced shallow water equations for non-slip boundary conditions, S. Zhou, J. Huang, and A. J. Christlieb, submitted (2025).
  3. Fast finite difference methods for variable-order fractional Laplacian, S. Zhou, and Y. Zhang, to be submitted (2024).
  4. Data-driven approach for the solutions of time-dependent PDEs using convolutional neural network, S. Zhou, Y. Li, and Y. Zhang, to be submitted (2024).
  5. Analytical and computational aspects of the high-order fractional Laplacian, J.P. Borthagaray, Y. Wu, S. Zhou, and Y. Zhang, preprint (2023).
  6. Fourier pseudospectral methods for the spatial variable-order fractional wave equations, Y. Zhang, X. Zhao, S. Zhou, Comput. Phys. Commun., 318 (2026), pp. 109876.
  7. Convolutional neural network-based reduced-order modeling for parametric nonlocal PDEs, Y. Wang, S. Zhou, and Y. Zhang, Comput. Methods Appl. Mech. Eng., 444 (2025), pp. 118084.
  8. Parametric model reduction with convolutional neural networks, Y. Wang, S. Zhou, and Y. Zhang, Int. J. Numer. Anal. Mod., 21 (2024), pp. 716-738.
  9. A novel spectral method for space-fractional PDEs with the fractional Laplacians, S. Zhou and Y. Zhang, Comput. Math. Appl., 168 (2024), pp.133--147.
  10. Weak Galerkin Finite Element Method with Second-order accuracy in time for parabolic problems, S. Zhou, F. Gao, B. Li, and Z. Sun, Appl. Math. Lett., 90(2019), pp.118-123.