Numerical Methods for Stochastic Partial Differential Equations with White Noise
By Zhongqiang Zhang and George Em Karniadakis.   


Parallel Scientific Computing in C++ and MPI : A Seamless Approach to Parallel Algorithms
By George Em Karniadakis and Robert M. Kirby. Cambridge University Press, 2002.


Spectral/hp Element Methods for CFD
By George Em Karniadakis and Spencer J. Sherwin.  Oxford University Press, 2005 (second edition), 1999 (first edition).

A direct numerical simulation study of flow past a freely vibrating cable

By David J. Newman and George Em Karniadakis. Journal of Fluid Mechanics. 1997 [pdf file]


Microflows: Fundamentals and Simulation
By George Em Karniadakis and Ali Beskok. Springer, 2001.


Discontinuous Galerkin Methods: Theory, Compuration and Applications
By Bernardo Cockburn, George Em Karniadakis and Chi-Wang Shu. Springer, 2000.