Zhen Zhang

activity

20202026

most citedGFINNs: GENERIC Formalism Informed Neural Networks for Deterministic and Stochastic Dynamical Systems

64 citations · 87 across the 10 of their papers we have counts for

collaborators

Showing 2026Show all

3 papers · 1 filter

physics.flu-dyn2026

Well-posedness of neural turbulence closures and tangent dissipation

Zhen Zhang, George Em Karniadakis

A neural turbulence closure defines a new boundary-value problem, $R (U) = N (U) + F (U) = 0$ , with a coupled Jacobian $J (U) = N^{'} (U) + F^{'} (U)$ , where $N$ is the original mean-flow operator and $…

math.NA2026

Adjoint Method versus Physics-Informed Neural Networks in PDE-Constrained Inverse Problems

Zhen Zhang, Alessandro Alla, George Em Karniadakis

Inverse problems governed by partial differential equations (PDEs) are central to computational mechanics and are commonly solved by adjoint-based optimization, while physics-infor…

math.NA2026

Neural Evolutionary Kernel Method: A Knowledge-Guided Framework for Solving Evolutionary PDEs

Shuo Ling, Wenjun Ying, Zhen Zhang

Numerical solution of partial differential equations (PDEs) plays a vital role in various fields of science and engineering. In recent years, deep neural networks (DNNs) have emerg…