Publications

• Understanding the ADMM Algorithm via High-Resolution Differential Equations, [arXiv], Applied Mathematics & Optimization, 2026.
  Bowen Li and Bin Shi

• Proximal subgradient norm minimization of ISTA and FISTA, [arXiv], Applied and Computational Harmonic Analysis, 2026.
  Bowen Li, Bin Shi, and Ya-xiang Yuan

• Numerical Solution for Nonlinear 4D Variational Data Assimilation (4D-Var) via ADMM, [code], [arXiv], Journal of Computational Physics, 2025.
  Bowen Li and Bin Shi

• Linear Convergence of ISTA and FISTA, [arXiv], Journal of the Operations Research Society of China, 2024.
  Bowen Li, Bin Shi, and Ya-xiang Yuan

• Linear convergence of Forward-Backward Accelrated Algorithms without Knowledge of the Modulus of Strong Convexity, [arXiv], SIAM Journal on Optimization, 2024.
  Bowen Li, Bin Shi, and Ya-xiang Yuan

Preprints

• Convergent Proximal Multiblock ADMM for Nonconvex Dynamics-Constrained Optimization, preprint, 2025.
  Bowen Li and Ya-xiang Yuan

• Understanding the PDHG Algorithm via High-Resolution Differential Equations, preprint, 2024.
  Bowen Li and Bin Shi