Spectral and Spectral Element Methods
for Fractional Ordinary and Partial Differential Equations

M. 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 Simulation

A. 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.