George Em Karniadakis - Google Scholar Citations

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Citations	49888	23925
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Ali BeskokSouthern Methodist UniversityVerified email at smu.edu
Spencer J. SherwinProfessor of Computational Fluid Mechanics, Imperial College LondonVerified email at imperial.ac.uk
Igor V. PivkinUSI Lugano and Swiss Institute of Bioinformatics, SwitzerlandVerified email at usi.ch
Dongbin XiuProfessor of Mathematics, The Ohio State UniversityVerified email at osu.edu
Michael S. TriantafyllouHenry L. and Grace Doherty Professor of Ocean Science & Engineering, MITVerified email at mit.edu
Suchuan DongDepartment of Mathematics, Purdue UniversityVerified email at math.purdue.edu
Leopold GrinbergIBM ResearchVerified email at us.ibm.com
Xuejin Li (李学进)Zhejiang UniversityVerified email at zju.edu.cn
Didier LucorSenior researcher, CNRS, LIMSI, Orsay, FranceVerified email at limsi.fr
Xiaoliang WanLouisiana State UniversityVerified email at math.lsu.edu
Robert M. Kirby OR R.M. KirbySchool of Computing, University of UtahVerified email at cs.utah.edu
Bernardo CockburnProfessor of Mathematics, University of MinnesotaVerified email at math.umn.edu
Wenxiao PanUniversity of Wisconsin-MadisonVerified email at wisc.edu
George S. TriantafyllouProfessor of HydrodynamicsVerified email at deslab.ntua.gr
Ioannis KevrekidisJohns Hopkins UniversityVerified email at jhu.edu
Timothy WarburtonJohn K. Costain Faculty Chair, Virginia Polytechnic Institute and State UniversityVerified email at vt.edu
Jasmine FooAssociate Professor of Mathematics, University of MinnesotaVerified email at umn.edu

George Em Karniadakis

The Charles Pitts Robinson and John Palmer Barstow Professor of Applied Mathematics, Brown U

Verified email at brown.edu - Homepage

Math+Machine Learning Probabilistic Scientific Computing Stochastic Multiscale Modeling


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The Wiener--Askey polynomial chaos for stochastic differential equations D Xiu, GE Karniadakis SIAM journal on scientific computing 24 (2), 619-644, 2002	4023	2002
Spectral/hp element methods for computational fluid dynamics G Karniadakis, S Sherwin Oxford University Press, 2013	2830	2013
Discontinuous Galerkin methods: theory, computation and applications B Cockburn, GE Karniadakis, CW Shu Springer Science & Business Media, 2012	2818*	2012
Microflows and nanoflows: fundamentals and simulation G Karniadakis, A Beskok, N Aluru Springer Science & Business Media, 2006	2126	2006
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	1486	1991
The MEMS handbook M Gad-el-Hak CRC press, 2001	1378	2001
Modeling uncertainty in flow simulations via generalized polynomial chaos D Xiu, GE Karniadakis Journal of computational physics 187 (1), 137-167, 2003	1353	2003
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	1054	1999
Micro flows: fundamentals and simulation GE Karniadakis, A Beskok, M Gad-el-Hak Appl. Mech. Rev. 55 (4), B76-B76, 2002	1031	2002
Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos D Xiu, GE Karniadakis Computer methods in applied mechanics and engineering 191 (43), 4927-4948, 2002	622	2002
An adaptive multi-element generalized polynomial chaos method for stochastic differential equations X Wan, GE Karniadakis Journal of Computational Physics 209 (2), 617-642, 2005	612	2005
Low‐dimensional models for complex geometry flows: application to grooved channels and circular cylinders AE Deane, IG Kevrekidis, GE Karniadakis, SA Orszag Physics of Fluids A: Fluid Dynamics 3 (10), 2337-2354, 1991	540	1991
Rarefaction and compressibility effects in gas microflows A Beskok, GE Karniadakis, W Trimmer	475	1996
Multi-element generalized polynomial chaos for arbitrary probability measures X Wan, GE Karniadakis SIAM Journal on Scientific Computing 28 (3), 901-928, 2006	474	2006
A multiscale red blood cell model with accurate mechanics, rheology, and dynamics DA Fedosov, B Caswell, GE Karniadakis Biophysical journal 98 (10), 2215-2225, 2010	462	2010
Three-dimensional dynamics and transition to turbulence in the wake of bluff objects GE Karniadakis, GS Triantafyllou Journal of fluid mechanics 238, 1-30, 1992	379	1992
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	373	2019
Simulation of heat and momentum transfer in complex microgeometries A Beskok, GE Karniadakis Journal of Thermophysics and Heat transfer 8 (4), 647-655, 1994	343	1994
Parallel scientific computing in C++ and MPI: a seamless approach to parallel algorithms and their implementation G Karniadakis, GE Karniadakis, RM Kirby II Cambridge University Press, 2003	340	2003
Dynamics and low-dimensionality of a turbulent near wake X Ma, GS Karamanos, GE Karniadakis Journal of fluid mechanics 410, 29-65, 2000	337	2000

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