Ziqian Li
Email • Bachelor of Engineering, JLU
Optimal control in fluid mixing, neural ODEs, deep learning solving PDEs
PhD Student
Supervisor: Enrique Zuazua
Room 03.319 | FAU DCN-AvH, Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship
Friedrich-Alexander-Universität Erlangen-Nürnberg
Naturwissenschaftliche Fakultät. Department Mathematik
Research Gate | ORCID | Google Scholar
Personal site | LinkedIn
Hi! My name is Ziqian Li, and I am a doctoral student at FAU DCN-AvH, the Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship under the supervision of Prof. Enrique Zuazua at Friedrich-Alexander-Universität Erlangen-Nürnberg, Bavaria (Germany).
I am also a PhD student at Jilin University (China).
My research directions are optimal control in fluid mixing, neural ODEs and deep learning solving partial differential equations.
See more: News
Research interests
My research interests include
• Optimal control in fluid mixing,
• Neural ODEs,
• Deep learning solving partial differential equations,
Projects
• CoDeFeL. Control for Deep and Federated Learning (2024 – now)
• DTN ModConFlex. Modelling and control of flexible structures interacting with fluids (2024 – now)
Awards
• Outstanding Poster Award: Approximation Theory and applications of semi-autonomous Neural ODEs
ICBS 2025 – International Congress of Basic Science 2025 (Beijing, China)
News / Initiatives
Neural ODEs: Approximation Theory and Operator Learning | slides
Authors: Ziqian Li
Date: March 02, 2026
Deep Neural ODE Operator Networks for PDEs | Slides. FAU MoD/GMU workshop: The Mathematics of Scientific Machine Learning and Digital Twins.
Authors: Ziqian Li
Date: November 20, 2025
See more
Approximation Theory and applications of semi-autonomous Neural ODEs
Authors: Ziqian Li, Lorenzo Liverani, Enrique Zuazua, Kang Liu
Date: July 18, 2025
See more
Greedy Algorithm for Neural Networks for Indefinite Elliptic Problems
Authors: Ziqian Li
Date: March 24, 2025
See more
Publications
2026
- , , , :
A Structure-Preserving Numerical Scheme for Optimal Control and Design of Mixing in Incompressible Flows
(2026)
BibTeX: Download - , , , :
Universal Approximation of Dynamical Systems by Semiautonomous Neural ODEs and Applications
In: SIAM Journal on Numerical Analysis 64 (2026), p. 193 - 223
ISSN: 0036-1429
DOI: 10.1137/24M1679690
BibTeX: Download - , , , , :
Deep Neural ODE Operator Networks for PDEs
In: Mathematical Models & Methods in Applied Sciences (2026)
ISSN: 0218-2025
DOI: 10.1142/S0218202526420054
BibTeX: Download
2025
- , , , :
Greedy Algorithm for Neural Networks for Indefinite Elliptic Problems
In: Journal of Scientific Computing (2025)
ISSN: 0885-7474
URL: https://link.springer.com/article/10.1007/s10915-025-03021-w#Bib1
BibTeX: Download
