Professor George Karniadakis (2024)

George Em Karniadakis Charles Pitts Robinson and John Palmer Barstow Professor of Applied Mathematics Brown University; also Research Scientist at MIT George_Karniadakis at Brown.edu

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

Short Bio :

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 Society for Industrial and Applied Mathematics (SIAM, 2010-), 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 Ralf E Kleinman award from SIAM (2015), the J. Tinsley Oden Medal (2013), and the CFD award (2007) by the US Association in Computational Mechanics. His h-index is 73 and he has been cited over 26,000 times (see my google scholar citations). See complete CV here. You can also check out our Geneaology Tree (remember to zoom in!).

• Karniadakis is the lead PI of an OSD/AFOSR MURI on Uncertainty Quantification and Director of a new DOE Center of Mathematics for Mesoscale Modeling of Materials (CM4).

Research Interests:

His research interests include diverse topics in computational science both on algorithms and applications. A main current thrust is stochastic simulation (in the context of uncertainty quantification and beyond), fractional PDEs, and multiscale modeling of physical and biological systems (especially the brain). Can you believe that we solve problems in 100 dimensions - check this out!. Read here about the exciting field of "New Biology" described by the National Research Council (2009). Read here about our work on sickle cell anemia and also on modeling malaria from first principles, which was also featured on the web site of the National Public Radio. Read here about our work on the first large multiscale modeling of a brain aneurysm (finalist in the Gordon Bell Award, Supercomputing'11). Our new area is neurovascular coupling in the brain, i.e., bridging the gap between neuroscience and vascular mechanics. New experimental evidence suggests the intriguing possibility that by slightly modulating the brain blood flow one can control information processing -- read our paper here! Recent feature article of our work ("Blood in Motion") in American Scientist.

Particular aspects include:

Fractional PDEs: A breakthrough paper! Numerical solution of stochastic differential equations: SISC article, also PNAS article

Modeling uncertainty with polynomial chaos: PNAS article, CiSE, JCP

Biophysics - Multiscale modeling of biological systems: PNAS (sickle cell anemia); PNAS (blood viscosity); PNAS (malaria) article; PNAS (thrombosis) article, PRS article

Atomistic/Mesoscopic modeling - Dissipative Particle Dynamics: JCP (triple-decker); PRL (adaptive BCs)

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

Honors and Awards :

SIAM's 2015 Ralph E Kleinman Award 2015 MCS Wierdrehielm Award The USACM J Tinsley Oden Medal, 2013

The USACM Computational Fluid Dynamics Award, 2007

SIAM Fellow 2010

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

Discontinuous Galerkin Methods Book

Research Projects in the CRUNCH group

George Karniadakis during a seminar on stochastic simulations

Where to contact George Karniadakis:

Additional Links:

	SHORT COURSE ON FRACTIONAL PDES MAY 22 - 31, 2013
	INTERNATIONAL SYMPOSIUM ON FRACTIONAL PDES: THEORY, NUMERICS AND APPLICATIONS JUNE 3 - 5, 2013 SALVE REGINA UNIVERSITY