What is the fractional Laplacian? A comparative review with new results. - Anna Lischke; Guofei Pang; Mamikon A. Gulian; Fangying Song; Christian Glusa; Xiaoning Zheng; Zhiping Mao; Wei Cai 003; Mark M. Meerschaert; Mark Ainsworth; George Em Karniadakis (J. Comput. Phys., 2020)

A three-dimensional phase-field model for multiscale modeling of thrombus biomechanics in blood vessels. - Xiaoning Zheng; Alireza Yazdani 001; He Li; Jay D. Humphrey; George E. Karniadakis (PLoS Comput. Biol., 2020)

An open-source parallel code for computing the spectral fractional Laplacian on 3D complex geometry domains. - Max Carlson; Xiaoning Zheng; Hari Sundar; George Em Karniadakis; Robert M. Kirby (Comput. Phys. Commun., 2021)

A phase-field method for boiling heat transfer. - Zhicheng Wang; Xiaoning Zheng; Chryssostomos Chryssostomidis; George Em Karniadakis (J. Comput. Phys., 2021)

Identifiability and predictability of integer- and fractional-order epidemiological models using physics-informed neural networks. - Ehsan Kharazmi; Min Cai; Xiaoning Zheng; Zhen Zhang 029; Guang Lin 001; George Em Karniadakis (Nat. Comput. Sci., 2021)

TGM-Nets: A deep learning framework for enhanced forecasting of tumor growth by integrating imaging and modeling. - Qijing Chen; Qi Ye; Weiqi Zhang; He Li; Xiaoning Zheng (Eng. Appl. Artif. Intell., 2023)

A Priori Error Estimation of Physics-Informed Neural Networks Solving Allen-Cahn and Cahn-Hilliard Equations. - Guangtao Zhang; Jiani Lin; Qijia Zhai; Huiyu Yang; Xujun Chen; Xiaoning Zheng; Ieng Tak Leong (CoRR, 2024)

Coagulo-Net: Enhancing the mathematical modeling of blood coagulation using physics-informed neural networks. - Ying Qian; Ge Zhu; Zhen Zhang 029; Susree Modepalli; Yihao Zheng; Xiaoning Zheng; Galit Frydman; He Li (Neural Networks, 2024)

Reliability Assessment Method for the Underwater Motion Process of a Rigid Body. - Han Li; Jingjing Cui; Xiaoning Zheng; Meilin Wen (ISSSR, 2025)

A deep neural network for operator learning enhanced by attention and gating mechanisms for long-time forecasting of tumor growth. - Qijing Chen; He Li; Xiaoning Zheng (Eng. Comput., 2025)