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Mohsen Zayernouri
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Fractional Sturm–Liouville eigen-problems: theory and numerical approximation
M Zayernouri, GE Karniadakis
Journal of Computational Physics 252, 495-517, 2013
2712013
Fractional spectral collocation method
M Zayernouri, GE Karniadakis
SIAM Journal on Scientific Computing 36 (1), A40-A62, 2014
2382014
Exponentially accurate spectral and spectral element methods for fractional ODEs
M Zayernouri, GE Karniadakis
Journal of Computational Physics 257, 460-480, 2014
1682014
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
1652015
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
1162015
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
1052017
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
972014
Tempered Fractional Sturm--Liouville EigenProblems
M Zayernouri, M Ainsworth, GE Karniadakis
SIAM Journal on Scientific Computing 37 (4), A1777-A1800, 2015
792015
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
642016
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
632017
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
612014
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
512016
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
472017
Fractional pseudo-spectral methods for distributed-order fractional PDEs
E Kharazmi, M Zayernouri
International Journal of Computer Mathematics 95 (6-7), 1340-1361, 2018
372018
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
342019
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
322020
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
312017
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
262019
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
252021
Implicit-explicit time integration of nonlinear fractional differential equations
Y Zhou, JL Suzuki, C Zhang, M Zayernouri
Applied Numerical Mathematics 156, 555-583, 2020
242020
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