George Karniadakis

George Em Karniadakis

Professor of Applied Mathematics

also:   Research Scientist at MIT

email: gk AT

"People who wish to analyze nature without using mathematics must settle for a reduced understanding", Richard Feynman


2010-Spring Course: [APMA 2821F]

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Academic background

George Karniadakis received his S.M. (1984) and Ph.D. (1987) from Massachusetts Institute of Technology. He was appointed Lecturer in the Department of Mechanical Engineering at MIT in 1987 and subsequently he joined the Center for Turbulence Research at Stanford / Nasa Ames. He joined Princeton University as Assistant Professor in the Department of Mechanical and Aerospace Engineering and as Associate Faculty in the Program of Applied and Computational Mathematics. He was a Visiting Professor at Caltech (1993) in the Aeronautics Department. He joined Brown University as Associate Professor of Applied Mathematics in the Center for Fluid Mechanics on January 1, 1994. He became a full professor on July 1, 1996.  He has been a Visiting Professor and Senior Lecturer of Ocean/Mechanical Engineering at MIT since September 1, 2000. He was Visiting Professor at Peking University (Fall 2007 & 2013). He is a Fellow of the American Physical Society (APS, 2004-), Fellow of the American Society of Mechanical Engineers (ASME, 2003-) and Associate Fellow of the American Institute of Aeronautics and Astronautics (AIAA, 2006-). He received the CFD award (2007) by the US Association in Computational Mechanics.

Research Interests:

His research interests include diverse topics in computational science both on algorithms and applications. A main current thrust is stochastic simulations and multiscale modeling of physical and biological systems (especially the brain). Read here about the exciting field of "New Biology" described by the National Research Council (2009).

Particular aspects include:

Numerical solution of stochastic differential equations: SISC article, PNAS article

Modeling uncertainty with polynomial chaos: PNAS article, CiSE  

Biophysics - Multiscale modeling of biological systems: PNAS article, PRL article, PRS article

Atomistic/Mesoscopic modeling - Dissipative Particle Dynamics: PRL article

Low Dimensional Modeling - Gappy Data - Data assimilation: JCP article

Ongoing Interests

Spectral/hp Element and Discontinuous Galerkin methods : OUP Book
Turbulent Drag Reduction: Science article
DNS/LES of turbulence in complex geometries: JFM article
Flow-structure interactions: PRL article
Micro-transport and Dynamic self-assembly: Springer Book
Flow and heat control applications: JFM article
Parallel computing; Interactive/virtual reality computer graphics: CUP Book


Papers on Generalized Polynomial Chaos (gPC)

Papers on Proper Orthogonal Decomposition (POD)
Papers on Dissipative Particle Dynamics (DPD)
Papers on Spectral Elements (SEM)


Honors and Awards :

The USACM Computational Fluid Dynamics Award, 2007

Associate Fellow of the American Institute of Aeronautics & Astronautics (AIAA) 2006
Fellow of the American Physical Society (APS) 2004

Fellow of the American Society of Mechanical Engineers (ASME) 2003

17th Robert Bruce Wallace Lecture Award, MIT, 2003
 Rheinstein Junior Faculty Award, Princeton University, 1992

  Publications By Category
  C++ / MPI Book
  Spectral Elements Book
  Microflows & Nanoflows Book
  Discontinuous Galerkin Methods Book
  Research Projects in the CRUNCH group
  George Karniadakis during a seminar on stochastic simulations

Where to contact George Karniadakis:

Professor George Karniadakis
Box F,
Division of Applied Mathematics,
Brown University,
Providence RI 02912, USA.
  • Tel: (401) 863-1217 (work at Brown)
  • Tel: (617) 715-4163 (work at MIT)
  • Fax: (401) 863-3369
  • Email: gk AT

Brown University