Spectral and Spectral Element Methods
for Fractional Ordinary and Partial Differential EquationsM. Zayernouri, L.L. Wang, J. Shen, G. E. Karniadakis, Cambridge University Press, 2024
Numerical Methods for Stochastic Partial Differential Equations with White Noise
Z. Zhang, G.E. Karniadakis, Applied Mathematics Series, 2017
Microflows and Nanoflows
Fundamentals and SimulationA. Beskok, N. Aluru, G.E. Karniadakis, Springer, 2005
Parallel Scientific Computing in C++ and MPI: A Seamless Approach to Parallel Algorithms
R.M. Kirby, N. Aluru, G.E. Karniadakis, Cambridge University Press, 2003
Microflows: Fundamentals and Simulation
G.E. Karniadakis, A. Beskok, Springer, 2001.
Spectral/hp Element Methods for Computational Fluid Dynamics
G.E. Karniadakis, S.J. Sherwin, Oxford University Press, New York, 1999 (first monograph in this field); second edition, Oxford University, 2005; third edition, 2013.