@article{adaptivehardsoftphysicsinformedneuralnet,
  title = {Adaptive Hard-Soft Physics-Informed Neural Networks for Robust Boundary-Constrained PDE Solving},
  author = {Duc Tien Nguyen and Trinh Minh Tuan and Nguyen Duc Manh and Vu Linh Nguyen and Dinh Gia Ninh},
  year = {2026},
  eprint = {2606.23359},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.23359},
}