Math + Machine Learning + X
George Karniadakis received the 2021 SIAM/ACM Prize in Computational Science and Engineering for “advancing spectral elements, reduced-order modeling, uncertainty quantification, dissipative particle dynamics, fractional PDEs, and scientific machine learning, while pushing applications to extreme computational scales and mentoring many leaders.”
Over 30 years of mentorship of PhD students from over 20 institutions and 10 different nationalities!
The CRUNCH group is the research team of Professor George Em Karniadakis in the Division of Applied Mathematics at Brown University. CRUNCH members have diverse interdisciplinary backgrounds, and they work at the interface of Computational Mathematics + Machine Learning + X, where X may be problems in biology, geophysics, soft matter, functional materials, physical chemistry, or fluid and solid mechanics. We welcome collaborators and visitors with bold ideas from across different fields. Our new emphasis is on Scientific Machine Learning and on PINNs that the CRUNCH group pioneered. The industry likes it (thanks ANSYS and NVIDIA), and everyone copies us shamelessly but we like it! PINNs are Physics-Informed Neural Networks and we have a whole alphabet of PINNs: cPINNs (conservative); vPINNs (variational); pPINNs (parareal); nPINNs (nonlocal); B-PINNs (Bayesian), ...You can find all the papers here.
Check-out our current research interests under Current Research.
Scentific journal covers featuring our recent works: