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1

Fractional Sturm–Liouville eigen-problems: Theory and numerical approximation

Zayernouri, Mohsen, Karniadakis, George Em

Journal:

Journal of Computational Physics

Year:

2013

Language:

english

File:

PDF, 1.44 MB

english, 2013

2

Tempered Fractional Sturm--Liouville EigenProblems

Zayernouri, Mohsen, Ainsworth, Mark, Karniadakis, George Em

Journal:

SIAM Journal on Scientific Computing

Year:

2015

Language:

english

File:

PDF, 289 KB

english, 2015

3

Fractional Pseudo-Spectral Methods for Distributed-Order Fractional PDEs

Kharazmi, Ehsan, Zayernouri, Mohsen

Journal:

International Journal of Computer Mathematics

Year:

2018

Language:

english

File:

PDF, 671 KB

english, 2018

4

Exponentially accurate spectral and spectral element methods for fractional ODEs

Zayernouri, Mohsen, Karniadakis, George Em

Journal:

Journal of Computational Physics

Year:

2014

Language:

english

File:

PDF, 700 KB

english, 2014

5

Fractional Spectral Collocation Method

Zayernouri, Mohsen, Karniadakis, George Em

Journal:

SIAM Journal on Scientific Computing

Year:

2014

Language:

english

File:

PDF, 1.04 MB

english, 2014

6

Discontinuous Spectral Element Methods for Time- and Space-Fractional Advection Equations

Zayernouri, Mohsen, Karniadakis, George Em

Journal:

SIAM Journal on Scientific Computing

Year:

2014

Language:

english

File:

PDF, 646 KB

english, 2014

7

A unified Petrov–Galerkin spectral method for fractional PDEs

Zayernouri, Mohsen, Ainsworth, Mark, Karniadakis, George Em

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2015

Language:

english

File:

PDF, 462 KB

english, 2015

8

A review of applications of fractional calculus in Earth system dynamics

Zhang, Yong, Sun, HongGuang, Stowell, Harold H., Zayernouri, Mohsen, Hansen, Samantha E.

Journal:

Chaos, Solitons & Fractals

Year:

2017

Language:

english

File:

PDF, 954 KB

english, 2017

9

Petrov--Galerkin and Spectral Collocation Methods for Distributed Order Differential Equations

Kharazmi, Ehsan, Zayernouri, Mohsen, Karniadakis, George Em

Journal:

SIAM Journal on Scientific Computing

Year:

2017

Language:

english

File:

PDF, 768 KB

english, 2017

10

Vibrations Suppression of Fractionally Damped Plates using Multiple Optimal Dynamic Vibration Absorbers

Ari, M., Faal, R. T., Zayernouri, M.

Journal:

International Journal of Computer Mathematics

Year:

2019

Language:

english

File:

PDF, 1.50 MB

english, 2019

11

Implicit-explicit time integration of nonlinear fractional differential equations

Zhou, Yongtao, Suzuki, Jorge L., Zhang, Chengjian, Zayernouri, Mohsen

Journal:

Applied Numerical Mathematics

Year:

2020

File:

PDF, 967 KB

2020

12

Stochastic smoothed profile method for modeling random roughness in flow problems

Zayernouri, Mohsen, Park, Sang-Woo, Tartakovsky, Daniel M., Karniadakis, George Em

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2013

Language:

english

File:

PDF, 2.52 MB

english, 2013

13

Spectral and Discontinuous Spectral Element Methods for Fractional Delay Equations

Zayernouri, Mohsen, Cao, Wanrong, Zhang, Zhongqiang, Karniadakis, George Em

Journal:

SIAM Journal on Scientific Computing

Year:

2014

Language:

english

File:

PDF, 641 KB

english, 2014

14

Fractional spectral collocation methods for linear and nonlinear variable order FPDEs

Zayernouri, Mohsen, Karniadakis, George Em

Journal:

Journal of Computational Physics

Year:

2015

Language:

english

File:

PDF, 1.51 MB

english, 2015

15

Coherent features in the sensitivity field of a planar mixing layer

Zayernouri, M., Metzger, M.

Journal:

Physics of Fluids

Year:

2011

Language:

english

File:

PDF, 2.74 MB

english, 2011

16

Fractional-order uniaxial visco-elasto-plastic models for structural analysis

Suzuki, J.L., Zayernouri, M., Bittencourt, M.L., Karniadakis, G.E.

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2016

Language:

english

File:

PDF, 1.66 MB

english, 2016

17

A Petrov--Galerkin Spectral Method of Linear Complexity for Fractional Multiterm ODEs on the Half Line

Lischke, Anna, Zayernouri, Mohsen, Karniadakis, George Em

Journal:

SIAM Journal on Scientific Computing

Year:

2017

Language:

english

File:

PDF, 2.76 MB

english, 2017

18

A Petrov–Galerkin spectral element method for fractional elliptic problems

Kharazmi, Ehsan, Zayernouri, Mohsen, Karniadakis, George Em

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2017

Language:

english

File:

PDF, 992 KB

english, 2017

19

A unified spectral method for FPDEs with two-sided derivatives; part I: A fast solver

Samiee, Mehdi, Zayernouri, Mohsen, Meerschaert, Mark M.

Journal:

Journal of Computational Physics

Year:

2018

Language:

english

File:

PDF, 1.07 MB

english, 2018

20

Preface

Furati, Khaled M., Khaliq, Abdul Q., Li, Changpin, Zayernouri, Mohsen

Journal:

International Journal of Computer Mathematics

Year:

2018

Language:

english

File:

PDF, 448 KB

english, 2018

21

A unified spectral method for FPDEs with two-sided derivatives; Part II: stability, and error analysis

Samiee, Mehdi, Zayernouri, Mohsen, Meerschaert, Mark M.

Journal:

Journal of Computational Physics

Year:

2018

Language:

english

File:

PDF, 509 KB

english, 2018

22

Fractional Sensitivity Equation Method: Application to Fractional Model Construction

Kharazmi, Ehsan, Zayernouri, Mohsen

Journal:

Journal of Scientific Computing

Year:

2019

Language:

english

File:

PDF, 1.71 MB

english, 2019

23

DEVELOPMENT OF AN ANALYTICAL SOLUTION FOR COMPRESSIBLE TWO-PHASE STEAM FLOW

Zayernouri, M., Kermani, M.J.

Journal:

Transactions of the Canadian Society for Mechanical Engineering

Year:

2006

Language:

english

File:

PDF, 643 KB

english, 2006

24

A fractional subgrid-scale model for turbulent flows: Theoretical formulation and a priori study

Samiee, Mehdi, Akhavan-Safaei, Ali, Zayernouri, Mohsen

Journal:

Physics of Fluids

Year:

2020

File:

PDF, 4.58 MB

2020

25

A Self-Singularity-Capturing Scheme for Fractional Differential Equations

Suzuki, Jorge L., Zayernouri, Mohsen

Journal:

International Journal of Computer Mathematics

Year:

2020

File:

PDF, 2.15 MB

2020

26

A Unified PetrovâGalerkin Spectral Method and Fast Solver for Distributed-Order Partial Differential Equations

Samiee, Mehdi, Kharazmi, Ehsan, Meerschaert, Mark M., Zayernouri, Mohsen

Journal:

Communications on Applied Mathematics and Computation

Year:

2020

File:

PDF, 2.59 MB

2020

27

Anomalous features in internal cylinder flow instabilities subject to uncertain rotational effects

Akhavan-Safaei, Ali, Seyedi, S. Hadi, Zayernouri, Mohsen

Journal:

Physics of Fluids

Year:

2020

File:

PDF, 4.26 MB

2020

28

An Integrated SensitivityâUncertainty Quantification Framework for Stochastic PhaseâField Modeling of Material Damage

Barros de Moraes, Eduardo A., Zayernouri, Mohsen, Meerschaert, Mark M.

Journal:

International Journal for Numerical Methods in Engineering

Year:

2020

File:

PDF, 3.42 MB

2020