Department of Computational Mathematics, Science, and Engineering (CMSE) &
Department of Mechanical Engineering
Michigan State University
• PhD2, (2010-2014), Applied Mathematics, Brown University, USA
• PhD1 (2008-2010), Mechanical Engineering, University of Utah, USA
• MSc2 (2010-2012), Applied Mathematics, Brown University, USA
• MSc1 (2004-2006), Mechanical Engineering, Tehran Polytechnic, Iran
- Numerical Analysis (FEM, Spectral & Spectral Element Methods)
- Nonlocal Continuum Mechanics for Anomalous Transport
- Stochastic Modeling and Uncertainty Quantification
- Computational Fluid Dynamics
- High Performance Computing
- Guest Editor of Online Journal of Mathematics, Special Issue on:
New Trends in Applications of Orthogonal Polynomials and Special Functions
- Lead Guest Editor of Tbilisi Mathematical Journal, Special Issue on:
Fractional Calculus and Applications
1- Journal of Computational Physics
2- SIAM Journal of Scientific Computing
3- ESAIM: Mathematical Modelling and Numerical Analysis (M2AN)
4- BIT Journal of Numerical Mathematics
5- ASME Journal of Vibration and Acoustics
6- Journal of Numerical Algorithms
7- International Journal of Heat and Mass Transfer
Co-organizer of the Mini-Symposium on Fractional PDEs, Numerics, Stochastics, and Applications, Annual Meeting of SIAM, July 2014, Chicago, IL, USA.
Organizer of the CRUNCH Fractional PDEs Club weekly meetings
 M. Zayernouri and M. M. Metzger (2013), “Computational Sensitivity Analysis of Shear Flows”, LAP LAMBERT Academic Publishing 2013, ISBN: 978-3-659-45419.
 S. Sharouei and M. Zayernouri (2007), “Mechanical Design and Simulation of Mechanical Systems using ADAMS 12.0 (in Persian)”, Tarava Publisher, ISBN 9-15-8344-964.
Peer-Reviewed Journal Publications:
 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.
 M. Zayernouri, G. E. Karniadakis (2014) “Fractional Spectral Collocation Methods for Linear and Nonlinear Variable Order Fractional PDEs”, Journal Computational Physics, Special Issue on Fractional PDEs, Accepted.
 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.
 M. Zayernouri, G. E. Karniadakis (2014) “Fractional Spectral Collocation Method”, SIAM Journal on Scientific Computing, 36 (1), A40–A62.
 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.
 M. Zayernouri, G. E. Karniadakis (2014) “Exponentially Accurate Spectral and Spectral Element Methods for Fractional ODEs”, Journal of Computational Physics, 257, 460–480.
 M. Zayernouri, M. Ainsworth, and G. E. Karniadakis (2014) “Tempered Fractional Sturm-Liouville Eigen-Problems”, SIAM Journal on Scientific Computing, Submitted.
 M. Zayernouri, G. E. Karniadakis (2013) “Fractional Sturm-Liouville Eigen-Problems: Theory and Numerical Approximations”, Journal of Computational Physics, 47-3, 2108–2131.
 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.
 M. Zayernouri and M. Metzger (2011) “Coherent Features in the Sensitivity Field of a Planar Mixing Layer” Physics of Fluid, 23, 025105.
 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.
 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.
 9th International Conference on Computational Physics, National University of Singapore Jan. 7-11, 2015, Singapore; Title: Spectral Methods for Tempered Fractional PDEs.
 Department of Mechanical Engineering, City University of New York, Oct. 2nd, 2014; Title: Fractional-Order Modeling in Science and Engineering: Theory and Numerics.
 Institute for Computational and Experimental Research in Mathematics (ICERM), workshop on Robust Discretization and Fast Solvers for Computable Multi‐Physics Models, May 2014; Title: Spectral Discretization and Fast Solvers for Fractional PDEs.
 Keynote Speaker at the 1st International Symposium on Fractional PDEs: Theory, Numerics and Applications, June 2013, Newport, RI, USA; Title: “A Fractional Spectral Theory for Exponentially Accurate Spectral and Spectral Element Methods”.
 Bio-Engineering Department at University of Illinois at Chicago (UIC), Nov. 2013, USA; Title: Spectral/Spectral-Element Methods for Fractional ODEs/PDEs in Bioengineering.