2 papers
math.OC2026
Accelerated Implicit GDA Schemes: Theoretical Guarantees and Application to Proximal Augmented Lagrangian Methods
Jiaqi Liu, Bin Shi
Convex optimization problems with linear equality constraints arise ubiquitously in scientific computing, machine learning, and control theory. Classical Krylov methods are effecti…
math.NA2024
Numerical Solution for Nonlinear 4D Variational Data Assimilation (4D-Var) via ADMM
Bowen Li, Bin Shi
The four-dimensional variational data assimilation (4D-Var) has emerged as an important methodology, widely used in numerical weather prediction, oceanographic modeling, and climat…