Books

M. Zayernouri, L. Wang, J. Shen and G.E. Karniadakis, “Spectral and Spectral Element Methods for Fractional Ordinary and Partial Differential Equations,” Cambridge University Press, 2024.

G.E. Karniadakis, A. Beskok, and N. Aluru, “Microflows and Nanoflows: Fundamentals and Simulation,” Springer 2005.

Z. Zhang and G.E. Karniadakis, “Numerical Methods for Stochastic PDEs with White Noise,” Springer, Applied Mathematics Series, 2017.

G.E. Karniadakis and R.M. Kirby, “Parallel Scientific Computing in C++ and MPI,” Cambridge University Press, March 2003.

G.E. Karniadakis and A. Beskok, “Microflows: Fundamentals and Simulation,” Springer, 2001. (first textbook/monograph in this field).

G.E. Karniadakis S.J. Sherwin, “Spectral/hp Element Methods for CFD,” Oxford University Press, New York, 1999. (first monograph in this field); second edition, Oxford, 2005; third edition, 2013.