| Fractional Sturm–Liouville eigen-problems: theory and numerical approximation M Zayernouri, GE Karniadakis Journal of Computational Physics 252, 495-517, 2013 | 271 | 2013 |
| Fractional spectral collocation method M Zayernouri, GE Karniadakis SIAM Journal on Scientific Computing 36 (1), A40-A62, 2014 | 238 | 2014 |
| Exponentially accurate spectral and spectral element methods for fractional ODEs M Zayernouri, GE Karniadakis Journal of Computational Physics 257, 460-480, 2014 | 168 | 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 | 165 | 2015 |
| 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 | 116 | 2015 |
| 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 | 105 | 2017 |
| 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 | 97 | 2014 |
| Tempered Fractional Sturm--Liouville EigenProblems M Zayernouri, M Ainsworth, GE Karniadakis SIAM Journal on Scientific Computing 37 (4), A1777-A1800, 2015 | 79 | 2015 |
| 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 | 64 | 2016 |
| 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 | 63 | 2017 |
| 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 | 61 | 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 | 51 | 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 | 47 | 2017 |
| Fractional pseudo-spectral methods for distributed-order fractional PDEs E Kharazmi, M Zayernouri International Journal of Computer Mathematics 95 (6-7), 1340-1361, 2018 | 37 | 2018 |
| 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 | 34 | 2019 |
| 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), 055102, 2020 | 32 | 2020 |
| 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 | 31 | 2017 |
| A unified spectral method for FPDEs with two-sided derivatives; part II: Stability, and error analysis M Samiee, M Zayernouri, MM Meerschaert Journal of Computational Physics 385, 244-261, 2019 | 26 | 2019 |
| 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 | 25 | 2021 |
| Implicit-explicit time integration of nonlinear fractional differential equations Y Zhou, JL Suzuki, C Zhang, M Zayernouri Applied Numerical Mathematics 156, 555-583, 2020 | 24 | 2020 |
George Em KarniadakisThe Charles Pitts Robinson and John Palmer Barstow Professor of Applied Mathematics and EngineeringVerified email at brown.edu
