2 papers
math.NA2026
Reliability-Aware Hard--Soft Physics-Informed Neural Networks for Robust Learning of Challenging Partial Differential Equations
Duc Tien Nguyen, Hang Tran, Trinh Minh Tuan +2
Physics-informed neural networks (PINNs) provide a mesh-free framework for solving partial differential equations, but their training is often affected by loss imbalance, optimizat…
cs.LG2026
Adaptive Hard-Soft Physics-Informed Neural Networks for Robust Boundary-Constrained PDE Solving
Duc Tien Nguyen, Trinh Minh Tuan, Nguyen Duc Manh +2
Physics-informed neural networks (PINNs) provide an effective way to solve partial differential equations (PDEs) by embedding physical principles into the learning process. However…