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math.NA2025
A Novel Preconditioning Framework for Solving Nonlinear PDEs based on Fenchel-Rockafellar Duality and Transformed Primal-Dual Techniques
Long Chen, Ruchi Guo, Jingrong Wei +1
A DualTPD method is proposed for solving nonlinear partial differential equations. The method is characterized by three main features. First, decoupling via Fenchel--Rockafellar du…
math.OC2025
Accelerated Gradient Methods Through Variable and Operator Splitting
Long Chen, Luo Hao, Jingrong Wei
This paper introduces a unified framework for accelerated gradient methods through the variable and operator splitting (VOS). The operator splitting decouples the optimization proc…