Selected Publications

[1]
M. Zayernouri, E. Kharazmi (2018), "Fractional Pseudo-Spectral Methods for Distributed-Order Fractional PDEs", IJCM, pg. 1-2
 
[2]

M. Zayernouri, M. Ainsworth, G. E. Karniadakis (2015), “Tempered Fractional Sturm--Liouville Eigen-Problems”, SIAM Journal on Scientific Computing, 37(4), A1777-A1800.

 
[3]
M. Zayernouri, M. Ainsworth, and G. E. Karniadakis (2015) “A Unified Petrov-Galerkin Spectral Method for Fractional PDEs”, Computer Methods in Applied Mechanics and Engineering (CMAME), 283 (1), 1545-1569.
 
[4]
M. Zayernouri, and G. E. Karniadakis (2015). "Fractional Spectral Collocation Methods for Linear and Nonlinear Variable Order FPDEs". Journal of Computational Physics, 293, 312-338.
 
[5]
M. Zayernouri, G. E. Karniadakis (2014) “Exponentially Accurate Spectral and Spectral Element Methods for Fractional ODEs”, Journal of Computational Physics, 257, 460–480.
 
[6]
M. Zayernouri, G. E. Karniadakis (2014) “Fractional Spectral Collocation Method”, SIAM Journal on Scientific Computing, 36 (1), A40–A62.
 
[7]
M. Zayernouri, G. E. Karniadakis (2014) “Discontinuous Spectral Element Methods for Time- and Space-Fractional Advection Equations”, SIAM Journal on Scientific Computing, 36 (4), B684–B707.
 
[8]
M. Zayernouri, W. Cao, Z. Zhang, G. E. Karniadakis (2014) “Spectral and Discontinuous Spectral Element Methods for Fractional Delay Equations”, SIAM Journal on Scientific Computing, 36 (6), B904-B929.
 
[9]
M. Zayernouri, G. E. Karniadakis (2013) “Fractional Sturm-Liouville Eigen-Problems: Theory and Numerical Approximations”, Journal of Computational Physics, 47-3, 2108–2131.
 
[10]
M. Zayernouri, S. W. Park, D. M. Tartakovsky, and G. E. Karniadakis (2013) “Stochastic Smoothed Profile Method for Modeling Random Roughness in Flow Problems”, Computer Methods in Applied Mechanics and Engineering (CMAME), 263, 99-112.
 
[11]
M. Zayernouri and M. M. Metzger (2011) “Coherent Features in the Sensitivity Field of a Planar Mixing Layer”, Physics of Fluid, 23, 025105.
 
[12]
M. J. Kermani, M. Zayernouri, and M. Saffar-Avval (2007) “Generalization of a Two-Phase Steam Flow Calculator to High-Pressure Cases; an Analytical Approach”, Canadian Journal of Mechanical Engineering: Transaction of the CSME, Vol. 30 (4), 581-595.
 
[13]
M. Zayernouri, and M. J. Kermani (2006) “Development of an Analytical Solution for Compressible Two-Phase Steam Flow”, Canadian Journal of Mechanical Engineering: Transaction of the CSME, Vol. 30 (2), 279-296.