Adaptive task decomposition physics-informed neural networks

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

Large Sample Properties of Simulations Using Latin Hypercube Sampling

Michael L. Stein · Technometrics · 1987 · 2K citations

Business, Computer Science, Actuators +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

Physics-informed neural networks for high-speed flows

Zhiping Mao, Ameya D. Jagtap, George Em Karniadakis · Computer Methods in Applied Mechanics and Engineering · 2019 · 1.2K citations

Computing, Computational Engineering, Physics +14

ACTIVATION FUNCTIONS IN NEURAL NETWORKS

Siddharth Sharma, Simone Sharma, Anidhya Athaiya · International Journal of Engineering Applied Sciences and Technology · 2020 · 1.2K citations · Full text

Computing, Computer Science, Artificial Intelligence +9