3 papers
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…
math.OC2024
Understanding the PDHG Algorithm via High-Resolution Differential Equations
Bowen Li, Bin Shi
The least absolute shrinkage and selection operator (Lasso) is widely recognized across various fields of mathematics and engineering. Its variant, the generalized Lasso, finds ext…
cs.LG2024
PirateNets: Physics-informed Deep Learning with Residual Adaptive Networks
Sifan Wang, Bowen Li, Yuhan Chen +1
While physics-informed neural networks (PINNs) have become a popular deep learning framework for tackling forward and inverse problems governed by partial differential equations (P…