Publications

6 journal articles · 3 arXiv preprints

More information about my papers can be found on my Google Scholar profile.

Moment-enhanced shallow water equations with an effective wall closure for no-slip bottoms

Shiping Zhou, Juntao Huang, Andrew J. Christlieb

Journal of Computational Physics 2026· Accepted

arXivPDF

An accurate parallel finite difference method for the variable-order fractional Laplacian in heterogeneous media

Shiping Zhou, Yanzhi Zhang

arXiv preprint · 2610.17063 · 2026

arXivPDF

Two-dimensional shallow water linearized moment equations: hyperbolicity and well-balanced schemes

Shiping Zhou, Juntao Huang, Andrew Christlieb

arXiv preprint · 2609.28800 · 2026

arXivPDF

Convolutional neural network-based reduced-order modeling for parametric nonlocal PDEs

Yumeng Wang, Shiping Zhou, Yanzhi Zhang

Computer Methods in Applied Mechanics and Engineering 2025

DOI

Nonlocal modeling of spatial fractional diffusion with truncated interaction domains and truncated kernel function singularity

Shiping Zhou, Yanzhi Zhang, Max Gunzburger

arXiv preprint · 2509.16315 · 2025

arXivPDF

Fourier pseudospectral methods for the variable-order space fractional wave equations

Yanzhi Zhang, Xiaofei Zhao, Shiping Zhou

Computer Physics Communications 2025

DOI

A novel and simple spectral method for nonlocal PDEs with the fractional Laplacian

Shiping Zhou, Yanzhi Zhang

Computers & Mathematics with Applications 2024

DOI

Parametric model reduction with convolutional neural networks

Yumeng Wang, Shiping Zhou, Yanzhi Zhang

International Journal of Numerical Analysis and Modeling 2024

DOI

Weak Galerkin finite element method with second-order accuracy in time for parabolic problems

Shiping Zhou, Fuzheng Gao, Benxing Li, Zhengjia Sun

Applied Mathematics Letters 2019

DOI