George Em Karniadakis Professor of Applied Mathematics also:   Research Scientist at MIT email: gk AT dam.brown.edu

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

Courses:

2010-Spring Course: [APMA 2821F]

Dear Prospective Student (Qin ai de Xue sheng men)

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

Publications:

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: