An Inexact Uzawa Algorithmic Framework for Nonlinear Saddle Point Problems with Applications to Elliptic Optimal Control Problem. - Yongcun Song; Xiaoming Yuan; Hangrui Yue (SIAM J. Numer. Anal., 2019)

An ADMM numerical approach to linear parabolic state constrained optimal control problems. - Roland Glowinski; Yongcun Song; Xiaoming Yuan 001 (Numerische Mathematik, 2020)

Bilinear Optimal Control of an Advection-Reaction-Diffusion System. - Roland Glowinski; Yongcun Song; Xiaoming Yuan 001; Hangrui Yue (SIAM Rev., 2022)

Accelerated primal-dual methods with enlarged step sizes and operator learning for nonsmooth optimal control problems. - Yongcun Song; Xiaoming Yuan; Hangrui Yue (CoRR, 2023)

Approximate and Weighted Data Reconstruction Attack in Federated Learning. - Ziqi Wang; Yongcun Song; Enrique Zuazua (CoRR, 2023)

A numerical approach to the optimal control of thermally convective flows. - Yongcun Song; Xiaoming Yuan; Hangrui Yue (J. Comput. Phys., 2023)

The ADMM-PINNs Algorithmic Framework for Nonsmooth PDE-Constrained Optimization: A Deep Learning Approach. - Yongcun Song; Xiaoming Yuan; Hangrui Yue (SIAM J. Sci. Comput., 2024)

An Augmented Lagrangian Method for State Constrained Linear Parabolic Optimal Control Problems. - Hailing Wang; Changjun Yu; Yongcun Song (J. Optim. Theory Appl., 2024)

FedADMM-InSa: An inexact and self-adaptive ADMM for federated learning. - Yongcun Song; Ziqi Wang; Enrique Zuazua (Neural Networks, 2025)

The Hard-Constraint PINNs for Interface Optimal Control Problems. - Ming-Chih Lai; Yongcun Song; Xiaoming Yuan; Hangrui Yue; Tianyou Zeng (SIAM J. Sci. Comput., 2025)