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======= Mohsen Zayernouri=======

** Current Position: **

Assistant Professor

Department of Computational Mathematics, Science, and Engineering (CMSE) &

Department of Mechanical Engineering 

Michigan State University


** Contact Information **

Email: zayern@egr.msu.edu

       







** Education: **

• 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


** Research Interest: **


- Numerical Analysis (FEM, Spectral & Spectral Element Methods) 

- Nonlocal Continuum Mechanics for Anomalous Transport 

- Stochastic Modeling and Uncertainty Quantification

- Computational Fluid Dynamics 

- High Performance Computing










** Editorial Servic: **

- Guest Editor of Online Journal of Mathematics, Special Issue on:

 New Trends in Applications of Orthogonal Polynomials and Special Functions 

http://www.mdpi.com/journal/mathematics/special_issues/orthogonal-polynomials

- Lead Guest Editor of Tbilisi Mathematical Journal, Special Issue on:

 Fractional Calculus and Applications 

http://tcms.org.ge/Journals/TMJ/.

** Reviewer for: ** 

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  

** Organizing Services: **

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

** Book Publications: ** 

[1] M. Zayernouri and M. M. Metzger (2013), “Computational Sensitivity Analysis of Shear Flows”, LAP LAMBERT Academic Publishing 2013, ISBN: 978-3-659-45419.

[2] 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:**


[1] 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.

[2] 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.


[3] 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. 

[4] M. Zayernouri, G. E. Karniadakis (2014) “Fractional Spectral Collocation Method”, SIAM Journal on Scientific Computing, 36 (1), A40–A62. 

[5] 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.

[6] M. Zayernouri, G. E. Karniadakis (2014) “Exponentially Accurate Spectral and Spectral Element Methods for Fractional ODEs”, Journal of Computational Physics, 257, 460–480.

[7] M. Zayernouri, M. Ainsworth, and G. E. Karniadakis (2014) “Tempered Fractional Sturm-Liouville Eigen-Problems”, SIAM Journal on Scientific Computing, Submitted.


[8] M. Zayernouri, G. E. Karniadakis (2013) “Fractional Sturm-Liouville Eigen-Problems: Theory and Numerical Approximations”, Journal of Computational Physics, 47-3, 2108–2131.

[9] 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.

[10] M. Zayernouri and M. Metzger (2011) “Coherent Features in the Sensitivity Field of a Planar Mixing Layer” Physics of Fluid, 23, 025105.

[11] 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.

[12] 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.













** Invited Talks: **

[1] 9th International Conference on Computational Physics, National University of Singapore Jan. 7-11, 2015, Singapore; Title: Spectral Methods for Tempered Fractional PDEs.  

[2] Department of Mechanical Engineering, City University of New York, Oct. 2nd, 2014; Title: Fractional-Order Modeling in Science and Engineering: Theory and Numerics. 

[3] 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.

[4] 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”.

http://www.dam.brown.edu/International%20Symposium/speakers.htm

[5] Bio-Engineering Department at University of Illinois at Chicago (UIC), Nov. 2013, USA; Title: Spectral/Spectral-Element Methods for Fractional ODEs/PDEs in Bioengineering.