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Michigan State University
Michigan State University

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Publications

Publications

  1. M. Zayernouri, L.Wang, J. Shen, and G. E. Karniadakis (2024), "Spectral and Spectral-Element Methods for Fractional Ordinary and Partial Differential Equations", Cambridge University Press (in-press).
  2. M. Zayernouri, M. Metzger, (2013) "Computational Sensitivity Analysis of Shear Flows", LAP LAMBERT Academic Publishing, ISBN-10: 3659454192.3.
  3. Sharouei and M. Zayernouri (2007), "Mechanical Design and Simulation of Mechanical Systems using ADAMS 12.0 (in Persian)", Tarava Publisher, ISBN-10 9648344159.
  1. A. Lischke, M. Zayernouri, Z. Zhang, (2019) "Spectral and Spectral-Element Methods for Fractional Advection-Diffusion-Reaction Equations" Handbook of Fractional Calculus with Applications. Volume 3: Numerical Methods.
  2. M. Samieey, E. Kharazmiy, and M. Zayernouri, (2017). "Fast Spectral Methods for Temporally-Distributed Fractional PDEs", Selected papers from ICOSAHOM16 Springer publisher.

2024:

  1. A Akhavan-Safaei, M Zayernouri, (2024) Deep Learning of Subgrid-Scale Dynamics in Scalar Turbulence and Generalization to other Transport Regimes, Journal of Machine Learning for Modeling and Computing 5 (1).

2023:

  1. AM Yousef, DD Deliyski, M Zayernouri, SRC Zacharias, M. Naghibolhosseini, (2023) Deep Learning-Based Analysis of Glottal Attack and Offset Times in Adductor Laryngeal Dystonia, Journal of Voice.
  2. DA Tzelepis, A Khoshnevis, M Zayernouri, VV Ginzburg, (2023) Polyurea-Graphene Nanocomposites-The Inuence of Hard-Segment Content and Nanoparticle Loading on Mechanical Properties, Polymers 15 (22), 4434.
  3. JL Suzuki, M Gulian, M Zayernouri, M D'Elia, (2023) Fractional Modeling in Action: A Survey of Nonlocal Models for Subsurface Transport, Turbulent Flows, and Anomalous Materials, Journal of Peridynamics and Nonlocal modeling 5 (3), 392-459 26.
  4. A Akhavan-Safaei, M Zayernouri, (2023) A Parallel Computational-Statistical Framework for Simulation of Turbulence: Applications to Data-Driven Fractional Modeling, Fractal and Fractional 7 (6), 488 10.
  5. EAB de Moraes, M D'Elia, M Zayernouri, (2023) Machine Learning of Nonlocal Micro-Structural Defect Evolutions in Crystalline Materials, Computer Methods in Applied Mechanics and Engineering 403, 115743.
  6. A. Akhavan-Safaei and M. Zayernouri, (2023) A Non-local Spectral Transfer Model and New Scaling Law for Scalar Turbulence, Journal of Fluid Mechanics 956, A26 12.
  7. D.A. Tzelepis, J.L. Suzuki, Y.F. Su, Y. Wang, Y.C. Lim, M. Zayernouri, V. Ginzburg, (2023) Experimental and Modeling Studies of IPDI-Based Polyurea Elastomers: The Role of Hard Segment Fraction, Journal of Applied Polymer Science, 140 (10), e53592.
  8. E.A.B. de Moraes, M. D'Elia, M. Zayernouri, (2023) Machine learning of nonlocal micro-structural defect evolutions in crystalline materials, Computer Methods in Applied Mechanics and Engineering 403, 115743.
  9. J. L. Suzuki, M. Gulian, M. Zayernouri, and M. D'Elia, (2022), Fractional Modeling in Action:A Survey of Nonlocal Models for Subsurface Transport, Turbulent Flows, and Anomalous Materials, Journal of Peridynamics and Nonlocal Modeling, 1-68, https://doi.org/10.1007/s42102-022-00085-2.

2022:

  1. J.L. Suzuki, M. Naghibolhosseini, M. Zayernouri, (2023) A General Return-Mapping Framework for Fractional Visco-Elasto-Plasticity, Fractal and Fractional 6 (12), 715.
  2. S.H. Seyedi, A. Akhavan-Safaei, M. Zayernouri, (2022) Dynamic Nonlocal Passive Scalar Subgrid-Scale Turbulence Modeling, Physics of Fluids 34 (10), 105122.
  3. S.H. Seyedi, M. Zayernouri, (2022), A Data-Driven Dynamic Nonlocal LES Model for Turbulent Flows, Physics of Fluids 34 (3), 035104.
  4. M. Samiee, A. Akhavan-Safaei, and M Zayernouri, (2022) Tempered Fractional LES Modeling,Journal of Fluid Mechanics, vol. 932.

2021:

  1. J.L. Suzuki, T.G. Tuttle, S. Roccabianca, and M. Zayernouri, A Data-Driven Memory-Dependent Modeling Framework for Anomalous Rheology: Application to Urinary Bladder Tissue, Fractal and Fractional 5 (4), 223.
  2. A. Akhavan-Safaei, M. Samiee, and M. Zayernouri, (2021) Nonlocal Modeling of Turbulent Subgrid-Scale Scalar Fluxes through Fractional Operators, Journal of Computational Physics, 446, 110571.
  3. J.L. Suzuki, E. Kharazmi, P. Varghaei, M. Naghibolhosseini, and M. Zayernouri, (2021) Anomalous Nonlinear Dynamics Behavior of Fractional Viscoelastic Beams, Journal of Computational and Nonlinear Dynamics 16 (11).
  4. E. A. B. de Moraes, H. Salehi, and M. Zayernouri, (2021) Data-Driven Failure Prediction in Brittle Materials: A Phase-Field Based Machine Learning Framework, Journal of Machine Learning for Modeling and Computing 2 (1).
  5. E. A. B. de Moraes, M. Zayernouri, and Mark M. Meerschaert, (2021) An Integrated Sensitivity-Uncertainty Quantification Framework for Stochastic Phase-Field Modeling of Material Damage, International Journal for Numerical Methods in Engineering, 122 (5), 1352-1377.
  6. Barros de Moraes, E.A., Suzuki, J.L., Zayernouri, M. (2021) Atomistic-to-Meso Multi-Scale Data-Driven Graph Surrogate Modeling of Dislocation Glide, Computational Materials Science,197, 110569.
  7. Y. Zhou, J. Suzuki, M. D'Elia, and M. Zayernouri, (2021) A Thermodynamically-Consistent Fractional Visco-Elasto-Plastic Model with Memory-Dependent Damage for Anomalous Materials, Computer Methods in Applied Mechanics and Engineering (CMAME), 373, 1, 113494.
  8. J. L. Suzuki, and M. Zayernouri, (2021) A Self-Singularity-Capturing Scheme for Fractional Differential Equations, Journal of Computer Mathematics, 1-32.

2020:

  1. M. Samiee, A. Akhavan-Safaei, M Zayernouri, (2020) A Fractional Subgrid-scale Model for Turbulent Flows: Theoretical Formulation and a Priori Study, Journal of Physics of Fluids,32, 055102.
  2. A. Akhavan-Safaei, H. Seyedi, M. Zayernouri, (2020) Anomalous Features in Internal Cylinder Flow Instabilities subject to Uncertain Rotational Effects, Journal of Physics of Fluids, 32,094107.
  3. Y. Zhou, J. Suzuki, C. Zhang, and M. Zayernouri, (2020) Fast Implicit-Explicit Time-Integration of Nonlinear Fractional Differential Equations, Journal of Applied Numerical Mathematics, Volume 156, Pages 555-583.

2019:

  1. E. Kharazmi and M. Zayernouri, (2020) Operator-Based Uncertainty Quantification of Stochastic Fractional PDEs, ASME Journal of Verification, Validation and Uncertainty Quantification,4-4.
  2. E. Kharazmi and M. Zayernouri, (2019) Fractional Sensitivity Equation Method: Application to Fractional Model Construction. Journal of Scientific Computing, 80; 1, pp 110-140.
  3. M. Ari, R. T. Faal, and M. Zayernouri, (2019) Vibrations Suppression of Fractionally Damped Plates using Multiple Optimal Dynamic Vibration Absorbers, International Journal on Computer Mathematics, pp.1-24.
  4. M. Samiee, M. Zayernouri, and M. M. Meerschaert (2019) A Unified Spectral Method for FPDEs with Two-Sided Derivatives; Part I: A fast solver. Journal of Computational Physics,385, 225-243.
  5. M. Samiee, M. Zayernouri, and M. M Meerschaert, (2019) A Unified Spectral Method for FPDEs with Two-Sided Derivatives; Part II: Stability and Error Analysis. Journal of Computational Physics, 385, 244-261.

2018:

  1. M. Samiee, E. Kharazmi, M., Zayernouri, and M. Meerschaert, (2021) Petrov-GalerkinMethod for Fully Distributed-Order Fractional Partial Differential Equations. Communications on Applied Mathematics and Computation, 3 (1), 61-90.
  2. E. Kharazm, and M. Zayernouri, (2018) Fractional Pseudo-Spectral Methods for Distributed-Order Fractional PDEs. International Journal on Computer Mathematics (IJCM), 1-22, Taylor & Francis.

2017:

  1. E. Kharazmi, M. Zayernouri, and G. E. Karniadakis, (2017) A Petrov-Galerkin Spectral-Element Method for Fractional Elliptic Problems, Journal of Computer Methods in Applied Mechanics and Engineering (CMAME), 324, 512-536.
  2. A. Lischke, M. Zayernouri, and G. E. Karniadakis, (2017) A Petrov-Galerkin Spectral Method of Linear Complexity for Fractional Multiterm ODEs on the Half-Line, SIAM Journal onScientific Computing (SISC), 39, A922-A946.
  3. E. Kharazmi, M. Zayernouri, and G. E. Karniadakis, (2017) Petrov-Galerkin and Spectral Collocation Methods for Distributed Order Differential Equations. SIAM Journal on Scientific Computing, 39, A1003-A1037.
  4. Y. Zhang, H. Sun, H. Stowell, M. Zayernouri, and S. Hansen1 (2017) A Review of Applications of Fractional Calculus in Earth System Dynamics, Journal of Chaos, Solitons, and Fractals,102, 29-46.

2016:

  1. M. Zayernouri and A. Matzavinos. Fractional Adams-Bashforth/Moulton Methods: An Application to the Fractional Keller-Segel Chemotaxis System. Journal of Computational Physics 317(2016): 1-14.
  2. J. L. Suzuki, M. Zayernouri, M. L. Bittencourt, M. L., and G. E.Karniadakis, (2016). Fractional-order Uniaxial Visco-Elasto-Plastic Models for Structural Analysis. Computer Methods in Applied Mechanics and Engineering, 308, 443-467.

2015:

  1. M. Zayernouri, M. Ainsworth, and G. E. Karniadakis (2015), Tempered Fractional Sturm-Liouville Eigen-Problems, SIAM Journal on Scientific Computing, 37(4), A1777-A1800.
  2. 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.
  3. 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.

2014:

  1. M. Zayernouri, G. E. Karniadakis (2014) Exponentially Accurate Spectral and Spectral-Element Methods for Fractional ODEs, Journal of Computational Physics, 257, 460-480.
  2. M. Zayernouri, G. E. Karniadakis (2014) Fractional Spectral Collocation Method, SIAM Journalon Scientific Computing, 36 (1), A40-A62.
  3. 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.
  4. 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.

2013:

  1. M. Zayernouri, G. E. Karniadakis (2013) Fractional Sturm-Liouville Eigen-Problems: Theoryand Numerical Approximations, Journal of Computational Physics, 47-3, 2108-2131.
  2. 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.

2011:

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

2006:

  1. 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.
  2. M. Zayernouri, and M. J. Kermani (2006) Development of an Analytical Solution for Compressible Two-Phase Steam Flow, Canadian Journal of Mechanical Engineering: Transactionof the CSME, Vol. 30 (2), 279-296.

2023:

  1. 2nd IACM Mechanistic Machine Learning and Digital Engineering for Computational Science Engineering and Technology, Deep Learning of Subgrid-Scale Dynamics in Scalar Turbulence,Sep. 26th, 2023.
  2. CECAM Workshop, EPFL, Switzerland, Anomalous Advection-Diffusion Modeling in Fluids and Aging Materials, Workshop on Innovations in fractional calculus and applications to functional and biological materials, September 13-15, 2023.
  3. Applied and Computational Mathematics Seminar, Department of Mathematics, Central Michigan University, Data-Driven Fractional MSU of Anomalous Transport & Materials, January27th, 2023.

2022:

  1. Johns Hopkins University, Center for Environmental and Applied Fluid Mechanics, Department of Mechanical Engineering, Title: Nonlocal and Dynamic LES Subgrid-Scale Modelingfor Turbulence, Feb. 18th, 2022.
  2. Nanyang Technological University, Institute for Mathematical Sciences, Singapore, Workshopon Computation, Analysis & Applications of PDEs with Nonlocal and Singular Operators,Title: Nonlocal Subgrid-Scale Modeling for Turbulent Flows, March 4th, 2022.
  3. SIAM Conference on Uncertainty Quantification, (invited mini-symposium talk)Title: Multi-Scale Dislocation Dynamics: Machine Learning of Probabilistic Nonlocal Equations, April 15,2022.

2021:

  1. SIAM Meeting on Computational Science and Engineering (invited mini-symposium talk);Title: "Fractional Large Eddy Simulation (LES) Modeling for Turbulent Flows", March 2021.
  2. SIAM Meeting on Computational Science and Engineering (invited mini-symposium talk);Title: "Data-Driven Multi-Scale Modeling, Analysis and Simulation of Anomalous Materials",March 2021.

2019:

  1. SIAM conference on Computational Science and Engineering (invited mini-symposium talk),Title: "Fractional Modeling of Visco-Elasto-Plastic Materials", Feb. 2019.
  2. SIAM conference on Computational Science and Engineering (invited mini-symposium talk),Title: "A Fractional Calculus Framework for Design and Modeling Material Failure", Feb.2019.
  3. 2019 AIAA Aviation and Aeronautics Forum and Exposition, Theoretical Fluid Dynamic ssession, "Emerging Role of Fractional Modeling in Anomalous Flow Phenomena", June 2019.
  4. 2019 AIAA Aviation and Aeronautics Forum and Exposition, Theoretical Fluid Dynamic ssession, "Emerging Role of Fractional Modeling in Anomalous Flow Phenomena", June 2019.

2018:

  1. ICERM Workshop of Fractional PDEs Theory, Algorithms, and Applications: "Spectral and Pseudo-Spectral Methods for Space-Time Distributed Fractional PDEs", June 2018.
  2. ICOSAHOM, M. Zayernouri, "Data-Infused Simulation and Analysis of Anomalous Transport", London, UK, July 2018.

2017:

  1. Sandia National Lab Workshop on Modeling, Analysis and Numerics for Nonlocal Applications,"Mathematical Analysis and Numerics for Fractional Derivative Operators", December 2017.
  2. SIAM Annual Meeting (mini-symposium talk), "Numerical Methods for Stochastic FPDEs subject to Uncertain Orders and Random Noise", July 2017.
  3. SIAM Meeting on Computational Science and Engineering (mini-symposium talk); Title: "A Unified Spectral Method for Time- and Space-Distributed FPDEs", Feb 2017.
  4. SIAM Meeting on Computational Science and Engineering (mini-symposium talk); Title: "AnIterative Mathematical-Computational Framework for Data-Driven FPDE Modeling and Simulation", Feb 2017.
  5. Middle Tennessee State University, Department of Mathematical Sciences, Title: "Spectraland High-Order Methods for Fractional PDEs", September 2017.

2016:

  1. Stanford University, Center for Turbulence Research (CTR); Title: "Fractional PDE Modelingof Anomalous Transport with Applications in Fluids", 11-11-2016.
  2. A Workshop on Future Directions in Fractional Calculus Research and Applications; Title:"Data-Driven FPDE Modeling and Simulation", 10-18-2016.
  3. 2nd Annual Meeting of SIAM Central States Section, Title: "Unified Petrov-Galerkin Spectral Methods for High-Dimensional FPDEs", 09-30-2016.
  4. SIAM Annual Meeting (mini-symposium talk); Title: "Petrov-Galerkin Spectral Methods for Distributed-Order Fractional PDEs", 07-15-2016.
  5. Department of Mathematics, Purdue University, Title: "Spectral and High-Order Methods for Fractional PDEs", 02-15-2016.

2015:

  1. Department of Mathematics & Statistics, University of North Carolina (UNC) at Charlotte,Jan 9th, 2015; Title: Fractional PDE Approach in Multi-Fidelity Modeling & Simulation:Theory, Numerics, and Beyond.
  2. 9th International Conference on Computational Physics, National University of Singapore Jan.7-11, 2015, Singapore; Title: Spectral Methods for Tempered Fractional PDEs.

2014:

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

2013:

  1. 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".
  2. Bio-Engineering Department at University of Illinois at Chicago (UIC), Nov. 2013, USA; Title:Spectral/Spectral-Element Methods for Fractional ODEs/PDEs in Bioengineering.

2023:

  1. Ikram M. MD., Zayernouri, M., & Naghibolhosseini, M., (2023). Vortical features in theaerodynamics of larynx and mouth cavity in sustained vowel production. Proceedings of theInternational IEEE Conference on Computation, Automation and Knowledge Management (ICCAKM), Dubai, UAE, December 12-13, 2023.
  2. Chhetri, S., de Moraes, E., Naghibolhosseini, M., & Zayernouri, M. (2023). A comparative study of dislocation dynamics in ductile and brittle crystalline materials. Proceedings of the International IEEE Conference on Modelling Simulation & Intelligent Computing (MoSICom),Dubai, UAE, December 7-9, 2023.
  3. M Naghibolhosseini, AM Yousef, M Zayernouri, SRC Zacharias, D.D. Deliyski,, Deep Learning for High-Speed Laryngeal Imaging Analysis, International Conference on Computational Intelligence and Knowledge, 2023.
  4. M Naghibolhosseini, T Henry, A Yousef, M Zayernouri, SRC Zacharias, D.D. Deliyski, Applications of machine learning for vocal fold motion analysis using laryngeal high-speed videoendoscopy, Proceedings of the 10th Convention of the European Acoustics Association, 2023.

2020:

  1. M. Samiee, A. Akhavan-Safaei, M. Zayernouri, "Tempered Fractional LES modeling of Turbulent Flows: A Priori Analysis ", American Physical Society, Division of Fluid Dynamics, Nov. 2020.
  2. A. Akhavan-Safaei, M. Samiee, M. Zayernouri, "Fractional LES Subgrid-Scale Modeling for Scalar Turbulence", American Physical Society, Division of Fluid Dynamics, Nov. 2020.
  3. SH Seyedi, M. Zayernouri, "A Fractional VLES Closure Model for Turbulent Boundary Layers", American Physical Society, Division of Fluid Dynamics, Nov. 2020.

2019:

  1. H. Salehi, E. de Moares, and M. Zyernouri, "Machine Learning Framework for Failure Prediction with Damage Phase-Field Time-Series Data", ASME International Mechanical Engineering Congress & Exposition, November 8-14, 2019.
  2. J. Suzuki, T. Tuttle, S. Roccabianca, and M. Zayernouri, "A Bayesian Framework for Fractional Modeling Anomalous Materials: Application to Soft Tissue", ASME International Mechanical Engineering Congress & Exposition, November 8 -14, 2019.
  3. M. Samiee, A. Akhavan-Safaei, M. Zayernouri, "Improved Fractional SGS Modeling of Turbulent Flows; Theory and a Priori Analysis", American Physical Society, Division of Fluid Dynamics, Nov. 2019.
  4. A. Akhavan-Safaei, M. Samiee, M. Zayernouri, "A Fractional-Order Non-Fickian Transport Model for Scalar Turbulence", American Physical Society, Division of Fluid Dynamics, Nov. 2019.
  5. S. H. Seyedi, A. Akhavan-Safaei, J. Foss, and M. Zayernouri, "High-Fidelity Simulation of Flow Instabilities in a Rotating Cylinder", American Physical Society, Division of Fluid Dynamics, Nov. 2019.
  6. E. de Moraes, J. Suzuki and M. Zayernouri, "Predictive Failure Modeling of Anomalous Soft Tissues: A Fractional Calculus Framework", ASME International Mechanical Engineering Congress & Exposition, November 8 -14, 2019.
  7. E. de Moraes , J. Suzuki , and M. Zayernouri, "A Fractional Calculus Framework for Modelingand Prediction of Failure in Anomalous Materials", 6th edition of International Conference on Computational Modeling of Fracture and Failure of Materials and Structures (CFRAC),Germany, June 2019.

2018:

  1. M. Zayernouri, M. Samiee, M. Meerschaert, "Part-I: A Fractional Transport Model for Scalar Turbulence", American Physical Society, Division of Fluid Dynamics (APS-DFD), Atlanta,GA, Nov. 2018.
  2. M. Samiee, M. Zayernouri, M. Meerschaert, "Part-II: A Fractional Subgrid-Scale Model for Turbulent Flows", American Physical Society, Division of Fluid Dynamics (APS-DFD), Atlanta, GA, Nov. 2018.

2016:

  1. M Zayernouri, M Samiee, (2016). "A Fractional PDE Approach to Turbulent Mixing; Part I:an Anomalous Transport Theory" APS Meeting Abstracts, Portland, OR.
  2. M Samiee and M Zayernouri, (2016). "A Fractional PDE Approach to Turbulent Mixing; Part II: Numerical Simulation" APS Meeting Abstracts, Portland, OR.
  3. A. Lischke, M. Zayernouri, G. Karniadakis, (2016), "A Tenably-Accurate Laguerre Petrov-Galerkin Method for Multi-Term Fractional ODEs on the Half Line", A Workshop on Future Directions in Fractional Calculus Research and Applications.
  4. M. Zayernouri and M. Samiee (2016), "Spectral Methods for High-Dimensional FPDEs withTwo-Sided Derivatives", ICOSAHOM, 2016.
  5. J. L. Suzuki, M. Zayernouri, M. L. Bittencourt, M. L., and G. E.Karniadakis, (2016), "Fractional-Order Fractional-Order Uniaxial Visco-Elasto-Plastic Models for Structural Analysis", ICOSA-HOM, 2016. 

2014:

  1. M. Zayernouri and G. E. Karniadakis, (2014), "A Unified Spectral Method for FPDEs", ICFDA, Catania, Italy.
  2. M. Zayernouri and G. E. Karniadakis, (2014), "Fractional Strum-Liouville Problems", ICOSA-HOM, Salt Lake City, UT.
  3. M. Zayernouri, M Ainsworth, and G. E. Karniadakis, (2014), "A Unified Approach to Spectral Fractional Methods", ICOSAHOM, Salt Lake City, UT.
  4. M. Zayernouri and G. E. Karniadakis, (2014), "Fractional Sturm-Liouville Theory for Spectral and Spectral-Element Methods", SIAM Annual Meeting, Chicago, IL.

2013:

  1. M. Zayernouri and G. E. Karniadakis, (2013), "Fractional Spectral and Spectral Element Methods", BCAM, Bilbao, Basque Country, Spain.
  2. M. Zayernouri and G. E. Karniadakis, (2013), "Fractional Spectral-Element Method", FEMTEC, Las Vegas, Nevada, USA.
  3. M. Zayernouri and G. E. Karniadakis, (2013), "Fractional Spectral Methods for Computational Mechanics", USNCCM12, Raleigh, North Carolina, USA.

2009:

  1. M. Zayernouri and M. Metzger, (2009), "A-Posteriori Study of the Sensitivity Equation Method and Complex-Step Differentiation in Capturing Coherent Structures in the Sensitivity Field of a Planar Mixing Layer", APS-DFD 2009 conference, Minneapolis, MN, USA.

2008:

  1. M. Zayernouri and M. Metzger, (2008), "Sensitivity Analysis of a Planar Mixing Layer using the Sensitivity Equation Method", APS-DFD 2008 conference, San Antonio, TX, USA.

2018:

  1. E. Kharazmi, M. Zayernouri, Operator-Based Uncertainty Quantification of Fractional PDEs, Application to Anomalous Transport. Engineering Graduate Research Symposium, Michigan State University, 2018.
  2. J.L. Suzuki, M. Zayernouri, Generalized Fractional-Order Visco-Elasto-Plasticity with Damage for Anomalous Materials. College of Engineering Graduate Research Symposium, Michigan State University, 2018.
  3. M. Samiee, M. Zayernouri, A Fractional PDE Approach to Turbulent Mixing, Engineering Graduate Research Symposium, Michigan State University, 2018.
  4. E. A. Barros de Moraes, M. Zayernouri, M. M. Meerschaert, Phase-Field Model Uncertainty Quantification for Structural Failure due to Fatigue, Engineering Graduate Research Symposium, Michigan State University, 2018.

2017:

  1. E. Kharazmi, M. Zayernouri. Operator-based Uncertainty Quantification (UQ) in Science and Engineering. Engineering Graduate Research Symposium, Michigan State University, 2017.
  2. J.L. Suzuki, M. Zayernouri, A Fractional Order Uniaxial Visco-Elasto-Plastic Model with Damage for Structural Analysis. College of Engineering Graduate Research Symposium, Michigan State University, 2017.
  3. M. Samiee, M. Zayernouri, A Fractional PDE Approach to Turbulent Mixing, Engineering Graduate Research Symposium, Michigan State University, 2017.

2016:

  1. E. Kharazmi, M. Zayernouri, A Petrov-Galerkin Spectral Element Method for Fractional Elliptic Problems. A Workshop on Future Directions in Fractional Calculus Research and Applications, Department of Statistics and Probability, Michigan State University, 2016.
  2. E. Kharazmi, M. Zayernouri, Multi-Physics Modeling and Simulation of Anomalous Transport Using Distributed Order ODEs/PDEs. Engineering Graduate Research Symposium, Michigan State University, 2016.
  3. M. Samiee, M. Zayernouri, Efficient Spectral Methods for Anomalous Transport, Engineering Graduate Research Symposium, Michigan State University, 2016.

2015:

  1. J.L. Suzuki., M. Zayernouri, M.L. Bittencourt,  G.E. Karniadakis, Fractional Order Uniaxial ViscoElasto-Plastic Models for Structural Analysis. Nonlocal Models in Mathematics, Computation, Science and Engineering, Oak Ridge National Laboratory, 2015.