George Em Karniadakis

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Ali BeskokSouthern Methodist UniversityVerifisert e-postadresse på smu.edu
Michael S. TriantafyllouHenry L. and Grace Doherty Professor of Ocean Science & Engineering, MITVerifisert e-postadresse på mit.edu
Igor V. PivkinProfessor of Computational Science, USI Lugano and Swiss Institute of Bioinformatics, SwitzerlandVerifisert e-postadresse på usi.ch
Spencer J. SherwinProfessor of Computational Fluid Mechanics, Imperial College LondonVerifisert e-postadresse på imperial.ac.uk
Dongbin XiuProfessor of Mathematics, The Ohio State UniversityVerifisert e-postadresse på osu.edu
Xuejin Li (李学进)Zhejiang UniversityVerifisert e-postadresse på zju.edu.cn
Suchuan DongDepartment of Mathematics, Purdue UniversityVerifisert e-postadresse på math.purdue.edu
Didier LucorSenior researcher, CNRS, LISN, Orsay, FranceVerifisert e-postadresse på lisn.upsaclay.fr
Xiaoliang WanLouisiana State UniversityVerifisert e-postadresse på math.lsu.edu
Robert M. Kirby OR R.M. KirbySchool of Computing, University of UtahVerifisert e-postadresse på cs.utah.edu
Mohsen ZayernouriAssociate Professor at Michigan State UniversityVerifisert e-postadresse på msu.edu
Wenxiao PanAssociate Professor of Mechanical Engineering, University of Wisconsin-MadisonVerifisert e-postadresse på wisc.edu
Bernardo CockburnProfessor of Mathematics, University of MinnesotaVerifisert e-postadresse på math.umn.edu
George S. TriantafyllouProfessor of HydrodynamicsVerifisert e-postadresse på deslab.ntua.gr
Timothy WarburtonJohn K. Costain Faculty Chair, Virginia Polytechnic Institute and State UniversityVerifisert e-postadresse på vt.edu
Jasmine FooProfessor of Mathematics, University of MinnesotaVerifisert e-postadresse på umn.edu
Leopold GrinbergAMD

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George Em Karniadakis

The Charles Pitts Robinson and John Palmer Barstow Professor of Applied Mathematics and Engineering

Verifisert e-postadresse på brown.edu - Startside

Math+Machine Learning Probabilistic Scientific Computing Stochastic Multiscale Modeling


Tittel Sorter etter sitater Sorter etter år Sorter etter tittel	Sitert av Sitert av	År
Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations M Raissi, P Perdikaris, GE Karniadakis Journal of Computational physics 378, 686-707, 2019	13291	2019
The Wiener--Askey polynomial chaos for stochastic differential equations D Xiu, GE Karniadakis SIAM journal on scientific computing 24 (2), 619-644, 2002	6034	2002
Physics-informed machine learning GE Karniadakis, IG Kevrekidis, L Lu, P Perdikaris, S Wang, L Yang Nature Reviews Physics 3 (6), 422-440, 2021	5210	2021
Microflows and nanoflows: fundamentals and simulation G Karniadakis, A Beskok, N Aluru Springer Science & Business Media, 2006	4160*	2006
Spectral/hp element methods for computational fluid dynamics G Karniadakis, SJ Sherwin Oxford University Press, 2005	3645	2005
Discontinuous Galerkin methods: theory, computation and applications B Cockburn, GE Karniadakis, CW Shu Springer Science & Business Media, 2012	3100*	2012
Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators L Lu, P Jin, G Pang, Z Zhang, GE Karniadakis Nature machine intelligence 3 (3), 218-229, 2021	2248	2021
DeepXDE: A deep learning library for solving differential equations L Lu, X Meng, Z Mao, GE Karniadakis SIAM review 63 (1), 208-228, 2021	2085	2021
High-order splitting methods for the incompressible Navier-Stokes equations GE Karniadakis, M Israeli, SA Orszag Journal of computational physics 97 (2), 414-443, 1991	1838	1991
Hidden fluid mechanics: Learning velocity and pressure fields from flow visualizations M Raissi, A Yazdani, GE Karniadakis Science 367 (6481), 1026-1030, 2020	1832	2020
Modeling uncertainty in flow simulations via generalized polynomial chaos D Xiu, GE Karniadakis Journal of computational physics 187 (1), 137-167, 2003	1829	2003
Physics informed deep learning (part i): Data-driven solutions of nonlinear partial differential equations M Raissi, P Perdikaris, GE Karniadakis arXiv preprint arXiv:1711.10561, 2017	1691	2017
Report: a model for flows in channels, pipes, and ducts at micro and nano scales A Beskok, GE Karniadakis Microscale thermophysical engineering 3 (1), 43-77, 1999	1553	1999
Hidden physics models: Machine learning of nonlinear partial differential equations M Raissi, GE Karniadakis Journal of Computational Physics 357, 125-141, 2018	1440	2018
Physics-informed neural networks (PINNs) for fluid mechanics: A review S Cai, Z Mao, Z Wang, M Yin, GE Karniadakis Acta Mechanica Sinica 37 (12), 1727-1738, 2021	1392	2021
Physics-informed neural networks for high-speed flows Z Mao, AD Jagtap, GE Karniadakis Computer Methods in Applied Mechanics and Engineering 360, 112789, 2020	1118	2020
NSFnets (Navier-Stokes flow nets): Physics-informed neural networks for the incompressible Navier-Stokes equations X Jin, S Cai, H Li, GE Karniadakis Journal of Computational Physics 426, 109951, 2021	1055	2021
Adaptive activation functions accelerate convergence in deep and physics-informed neural networks AD Jagtap, K Kawaguchi, GE Karniadakis Journal of Computational Physics 404, 109136, 2020	1008*	2020
Physics-informed neural networks for heat transfer problems S Cai, Z Wang, S Wang, P Perdikaris, GE Karniadakis Journal of Heat Transfer 143 (6), 060801, 2021	903	2021
Conservative physics-informed neural networks on discrete domains for conservation laws: Applications to forward and inverse problems AD Jagtap, E Kharazmi, GE Karniadakis Computer Methods in Applied Mechanics and Engineering 365, 113028, 2020	903	2020

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