Ziqian Li's Homepage

Journal Articles

Z. Li, K. Liu, L. Liverani, E. Zuazua. Universal Approximation of Dynamical Systems by Semiautonomous Neural ODEs and Applications. SIAM Journal on Numerical Analysis, 64(1), 2026. [doi] [arxiv]
Q. Hong, J. Jia, Y. J. Lee, Z. Li. Greedy Algorithm for Neural Networks for Indefinite Elliptic Problems. Journal of Scientific Computing, 104(3), 2025. [doi] [arxiv]
Z. Li, J. Jia, G. Liao, Y. J. Lee, S. Liu. Neural network method and multiscale modeling of the COVID-19 epidemic in Korea. The European Physical Journal Plus, 138(752), 2023. [doi]
Z. Li, J. Jia, Z. Lu, J. Jiao, P. Yu. Seismic velocity anomalies detection based on a modified U-Net framework. Applied Sciences, 12(14), 2022. [doi]

W. Hu, Z. Li, Y. Zhang, E. Zuazua. A Structure-Preserving Numerical Scheme for Optimal Control and Design of Mixing in Incompressible Flows. 2026. [arxiv]
Z. Li, K. Liu, Y. Song, H. Yue, E. Zuazua. Deep Neural ODE Operator Networks for PDEs. 2025. [arxiv] (To appear: Mathematical Models and Methods in Applied Sciences)
J. Jia, Y. J. Lee, Z. Li, Z. Lu, R. Zhang. Helicity-conservative Physics-informed Neural Network Model for Navier-Stokes Equations. 2022. [arxiv]

2025.11, The Mathematics of Scientific Machine Learning and Digital Twins workshop, Deep Neural ODE Operator Networks for PDEs, Erice, Italy.
2025.07, ICBS 2025, Poster (Outstanding Poster Award): Approximation Theory and Applications of Semi-Autonomous Neural ODEs, International Congress of Basic Science (ICBS) 2025, Beijing, China.
2025.03, FAU DCN-AvH Mini-workshop, Greedy Algorithm for Neural Networks for Indefinite Elliptic Problems, FAU Erlangen-Nürnberg, Germany.
2024.08, X Partial differential equations, optimal design and numerics workshop, SA-NODEs and Universal Approximation of Dynamical Systems — Numeric Aspect, Benasque Science Center, Spain.

Page updated

Google Sites

Report abuse