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
Contact
No contact links provided.
Publications
17 items
PINNs in PDE Constrained Optimal Control Problems: Direct vs Indirect Methods
2026
Cited
0
Curvature-Aware Optimization for High-Accuracy Physics-Informed Neural Networks
2026
Cited
0
Spectral bias in physics-informed and operator learning: Analysis and mitigation guidelines
2026
Cited
0
Physics-Informed Laplace Neural Operator for Solving Partial Differential Equations
2026
Cited
0
GIMLET: Generalizable and Interpretable Model Learning through Embedded Thermodynamics
2025
Cited
0
Hybrid Iterative Solvers with Geometry-Aware Neural Preconditioners for Parametric PDEs
2025
Cited
0
Kinetic-Mamba: Mamba-Assisted Predictions of Stiff Chemical Kinetics
2025
Cited
0
Probabilistic Predictions of Process-Induced Deformation in Carbon/Epoxy Composites Using a Deep Operator Network
2025
Cited
0
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Resume (English only)
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
17 total
Co-author 1
Michael S. Triantafyllou
Henry L. and Grace Doherty Professor of Ocean Science & Engineering, MIT
Co-author 3
Co-author 4
Co-author 5
Dongbin Xiu
Professor of Mathematics, The Ohio State University
Suchuan Dong
Department of Mathematics, Purdue University
Didier Lucor
Senior researcher, CNRS, LISN, Orsay, France
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