| Fractional Sturm–Liouville eigen-problems: theory and numerical approximation M Zayernouri, GE Karniadakis Journal of Computational Physics 252, 495-517, 2013 | 335 | 2013 |
| Fractional spectral collocation method M Zayernouri, GE Karniadakis SIAM Journal on Scientific Computing 36 (1), A40-A62, 2014 | 283 | 2014 |
| Fractional spectral collocation methods for linear and nonlinear variable order FPDEs M Zayernouri, GE Karniadakis Journal of Computational Physics 293 (Special Issue: FPDEs), 312-338, 2015 | 202 | 2015 |
| Exponentially accurate spectral and spectral element methods for fractional ODEs M Zayernouri, GE Karniadakis Journal of Computational Physics 257, 460-480, 2014 | 185 | 2014 |
| A review of applications of fractional calculus in Earth system dynamics Y Zhang, HG Sun, HH Stowell, M Zayernouri, SE Hansen Chaos, Solitons & Fractals 102, 29-46, 2017 | 183 | 2017 |
| A unified Petrov-Galerkin spectral method for fractional PDEs M Zayernouri, M Ainsworth, GE Karniadakis Computer Methods in Applied Mechanics and Engineering 283 (1), 1545-1569, 2015 | 140 | 2015 |
| Discontinuous spectral element methods for time-and space-fractional advection equations M Zayernouri, GE Karniadakis SIAM Journal on Scientific Computing 36 (4), B684-B707, 2014 | 107 | 2014 |
| Tempered fractional Sturm--Liouville eigenproblems M Zayernouri, M Ainsworth, GE Karniadakis SIAM Journal on Scientific Computing 37 (4), A1777-A1800, 2015 | 97 | 2015 |
| Petrov--Galerkin and spectral collocation methods for distributed order differential equations E Kharazmi, M Zayernouri, GE Karniadakis SIAM Journal on Scientific Computing 39 (3), A1003-A1037, 2017 | 85 | 2017 |
| Fractional Adams–Bashforth/Moulton methods: an application to the fractional Keller–Segel chemotaxis system M Zayernouri, A Matzavinos Journal of Computational Physics 317, 1-14, 2016 | 83 | 2016 |
| Spectral and discontinuous spectral element methods for fractional delay equations M Zayernouri, W Cao, Z Zhang, GE Karniadakis SIAM Journal on Scientific Computing 36 (6), B904-B929, 2014 | 71 | 2014 |
| Fractional-order uniaxial visco-elasto-plastic models for structural analysis JL Suzuki, M Zayernouri, ML Bittencourt, GE Karniadakis Computer Methods in Applied Mechanics and Engineering 308, 443-467, 2016 | 65 | 2016 |
| A Petrov–Galerkin spectral element method for fractional elliptic problems E Kharazmi, M Zayernouri, GE Karniadakis Computer Methods in Applied Mechanics and Engineering 324, 512-536, 2017 | 52 | 2017 |
| Fractional modeling in action: A survey of nonlocal models for subsurface transport, turbulent flows, and anomalous materials JL Suzuki, M Gulian, M Zayernouri, M D’Elia Journal of Peridynamics and Nonlocal modeling 5 (3), 392-459, 2023 | 50 | 2023 |
| A fractional subgrid-scale model for turbulent flows: Theoretical formulation and a priori study M Samiee, A Akhavan-Safaei, M Zayernouri Physics of Fluids 32 (5), 2020 | 46 | 2020 |
| Fractional pseudo-spectral methods for distributed-order fractional PDEs E Kharazmi, M Zayernouri International Journal of Computer Mathematics 95 (6-7), 1340-1361, 2018 | 45 | 2018 |
| Anomalous nonlinear dynamics behavior of fractional viscoelastic beams JL Suzuki, E Kharazmi, P Varghaei, M Naghibolhosseini, M Zayernouri Journal of computational and nonlinear dynamics 16 (11), 111005, 2021 | 42* | 2021 |
| A thermodynamically consistent fractional visco-elasto-plastic model with memory-dependent damage for anomalous materials J Suzuki, Y Zhou, M D’Elia, M Zayernouri Computer Methods in Applied Mechanics and Engineering 373, 113494, 2021 | 42 | 2021 |
| A unified spectral method for FPDEs with two-sided derivatives; part I: a fast solver M Samiee, M Zayernouri, MM Meerschaert Journal of Computational Physics 385, 225-243, 2019 | 39 | 2019 |
| A Petrov--Galerkin spectral method of linear complexity for fractional multiterm ODEs on the half line A Lischke, M Zayernouri, GE Karniadakis SIAM Journal on Scientific Computing 39 (3), A922-A946, 2017 | 39 | 2017 |
George Em KarniadakisThe Charles Pitts Robinson and John Palmer Barstow Professor of Applied Mathematics and EngineeringVerified email at brown.edu
