2 papers
math.NA2026
DDC-PINNs: A Predictor-Corrector Approach Based on Neural Network-Driven Domain Decomposition and Classical ODE Solvers for Time-Dependent PDEs
Xun Yang, Guanqiu Ma, Maohua Ran
When solving time-dependent partial differential equations (PDEs), traditional physics-informed neural networks (PINNs) may encounter several challenges. In particular, standard PI…
math.NA2026
A Multi-Invariant Preserving Discrete Gradient Methods
Haodong Pu, Maohua Ran
This work introduces a novel structure-preserving methods for conservative systems based on a predictor-corrector strategy. The framework applies a discrete gradient correction to…