Paris Perdikaris

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Maziar Raissi, Paris Perdikaris, George Em Karniadakis · Journal of Computational Physics · 2018 · 16.9K citations · Full text

Natural Sciences, Computer Science, Physics +16

Understanding and Mitigating Gradient Flow Pathologies in Physics-Informed Neural Networks

Sifan Wang, Yujun Teng, Paris Perdikaris · SIAM Journal on Scientific Computing · 2021 · 1.6K citations

Natural Sciences, Computer Science, Physics +14

When and why PINNs fail to train: A neural tangent kernel perspective

Sifan Wang, Xinling Yu, Paris Perdikaris · Journal of Computational Physics · 2021 · 1.2K citations · Full text

Computing, Computer Science, Machine Learning +4

Physics-Informed Neural Networks for Heat Transfer Problems

Shengze Cai, Zhicheng Wang, Sifan Wang et al. · Journal of Heat Transfer · 2021 · 1.2K citations

Engineering, Mechanical Engineering, Physics +17

Physics-constrained deep learning for high-dimensional surrogate modeling and uncertainty quantification without labeled data

Yinhao Zhu, Nicholas Zabaras, Phaedon‐Stelios Koutsourelakis et al. · Journal of Computational Physics · 2019 · 1K citations · Full text

Computing, Computer Science, Physics +16