Scholar
George Em Karniadakis
Google Scholar ID: yZ0-ywkAAAAJ
The Charles Pitts Robinson and John Palmer Barstow Professor of Applied Mathematics and Engineering
Math+Machine Learning
Probabilistic Scientific Computing
Stochastic Multiscale Modeling
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Citations & Impact
All-time
Citations
97,334
H-index
115
i10-index
544
Publications
20
Co-authors
17
list available
Publications
30 items
Well-posedness of neural turbulence closures and tangent dissipation
2026
Cited
0
Fixed and Adaptive Topological DeepONets: Functional Measurements on Hausdorff Locally Convex Spaces
2026
Cited
0
Spectrally Safe Neural Operator Warm-Starts for Large-Scale Newton Solvers
2026
Cited
0
Adjoint Method versus Physics-Informed Neural Networks in PDE-Constrained Inverse Problems
2026
Cited
0
Quantifying the biophysical properties of stomatocytes in health and disease
2026
Cited
0
Spectral Audit of In-Context Operator Networks
2026
Cited
0
Operator Learning for Reconstructing Flow Fields from Sparse Measurements: a Language Model Approach
2026
Cited
0
UFO: A Domain-Unification-Free Operator Framework for Generalized Operator Learning
2026
Cited
0
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Resume
Academic Achievements
- Published the first original works on PINNs and DeepONet.
- Supported generously by AFOSR, DOE, ARL, ONR, and multiple industrial partners.
Research Experience
- Leads the CRUNCH research group focusing on neural partial differential equations and neural operators.
- Collaborates with several US universities including MIT, Stanford, etc.
Background
- Research Interests: Computational Mathematics + Machine Learning + X (where X can be problems in biology, geophysics, etc.)
- Specialization: Neural PDEs and neural operators
- Brief Introduction: Leader of a research team at the Division of Applied Mathematics, Brown University, since the early 1990s.
Miscellany
- Supports diversity and inclusion, including support for MET School @ PVD, WISE@Brown, and the Association of Women in Mathematics@Brown.
- Has a research team with interdisciplinary backgrounds.
Co-authors
7 total
Michael S. Triantafyllou
Henry L. and Grace Doherty Professor of Ocean Science & Engineering, MIT
Dongbin Xiu
Professor of Mathematics, The Ohio State University
Suchuan Dong
Department of Mathematics, Purdue University
Didier Lucor
Senior researcher, CNRS, LISN, Orsay, France
Xiaoliang Wan
Louisiana State University
Robert M. Kirby OR R.M. Kirby
School of Computing, University of Utah
Mohsen Zayernouri
Associate Professor at Michigan State University