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Author ID: zayernouri.mohsen Recent zbMATH articles by "Zayernouri, Mohsen"
Published as: Zayernouri, Mohsen; Zayernouri, M.

Publications by Year

Citations contained in zbMATH Open

30 Publications have been cited 1,043 times in 609 Documents Cited by Year
Fractional Sturm-Liouville eigen-problems: theory and numerical approximation. Zbl 1349.34095
Zayernouri, Mohsen; Karniadakis, George Em
162
2013
Fractional spectral collocation method. Zbl 1294.65097
Zayernouri, Mohsen; Karniadakis, George Em
149
2014
Fractional spectral collocation methods for linear and nonlinear variable order FPDEs. Zbl 1349.65531
Zayernouri, Mohsen; Karniadakis, George Em
112
2015
Exponentially accurate spectral and spectral element methods for fractional ODEs. Zbl 1349.65257
Zayernouri, Mohsen; Karniadakis, George Em
99
2014
A unified Petrov-Galerkin spectral method for fractional PDEs. Zbl 1425.65127
Zayernouri, Mohsen; Ainsworth, Mark; Karniadakis, George Em.
74
2015
Discontinuous spectral element methods for time- and space-fractional advection equations. Zbl 1304.35757
Zayernouri, Mohsen; Karniadakis, George Em
65
2014
Tempered fractional Sturm-Liouville eigenproblems. Zbl 1323.34012
Zayernouri, Mohsen; Ainsworth, Mark; Karniadakis, George Em
47
2015
Petrov-Galerkin and spectral collocation methods for distributed order differential equations. Zbl 1367.65113
Kharazmi, Ehsan; Zayernouri, Mohsen; Karniadakis, George Em
47
2017
Spectral and discontinuous spectral element methods for fractional delay equations. Zbl 1314.34159
Zayernouri, Mohsen; Cao, Wanrong; Zhang, Zhongqiang; Karniadakis, George Em
43
2014
A review of applications of fractional calculus in Earth system dynamics. Zbl 1374.86028
Zhang, Yong; Sun, HongGuang; Stowell, Harold H.; Zayernouri, Mohsen; Hansen, Samantha E.
43
2017
Fractional Adams-Bashforth/Moulton methods: an application to the fractional Keller-Segel chemotaxis system. Zbl 1349.65234
Zayernouri, Mohsen; Matzavinos, Anastasios
26
2016
A Petrov-Galerkin spectral method of linear complexity for fractional multiterm ODEs on the half line. Zbl 1367.65108
Lischke, Anna; Zayernouri, Mohsen; Karniadakis, George Em
24
2017
A Petrov-Galerkin spectral element method for fractional elliptic problems. Zbl 1439.65205
Kharazmi, Ehsan; Zayernouri, Mohsen; Karniadakis, George Em
23
2017
Fractional pseudo-spectral methods for distributed-order fractional PDEs. Zbl 1513.65251
Kharazmi, Ehsan; Zayernouri, Mohsen
23
2018
Fractional-order uniaxial visco-elasto-plastic models for structural analysis. Zbl 1439.74077
Suzuki, J. L.; Zayernouri, M.; Bittencourt, M. L.; Karniadakis, G. E.
16
2016
A unified spectral method for FPDEs with two-sided derivatives. I: A fast solver. Zbl 1451.65160
Samiee, Mehdi; Zayernouri, Mohsen; Meerschaert, Mark M.
15
2019
A unified spectral method for FPDEs with two-sided derivatives. II: Stability, and error analysis. Zbl 1451.65161
Samiee, Mehdi; Zayernouri, Mohsen; Meerschaert, Mark M.
11
2019
A unified Petrov-Galerkin spectral method and fast solver for distributed-order partial differential equations. Zbl 1476.65272
Samiee, Mehdi; Kharazmi, Ehsan; Meerschaert, Mark M.; Zayernouri, Mohsen
10
2021
A thermodynamically consistent fractional visco-elasto-plastic model with memory-dependent damage for anomalous materials. Zbl 1506.74074
Suzuki, Jorge; Zhou, Yongtao; D’Elia, Marta; Zayernouri, Mohsen
10
2021
Implicit-explicit time integration of nonlinear fractional differential equations. Zbl 1442.65125
Zhou, Yongtao; Suzuki, Jorge L.; Zhang, Chengjian; Zayernouri, Mohsen
8
2020
Stochastic smoothed profile method for modeling random roughness in flow problems. Zbl 1286.76038
Zayernouri, Mohsen; Park, Sang-Woo; Tartakovsky, Daniel M.; Karniadakis, George Em
8
2013
Fractional sensitivity equation method: application to fractional model construction. Zbl 1448.35550
Kharazmi, Ehsan; Zayernouri, Mohsen
8
2019
Data-driven fractional subgrid-scale modeling for scalar turbulence: a nonlocal LES approach. Zbl 07516447
Akhavan-Safaei, Ali; Samiee, Mehdi; Zayernouri, Mohsen
6
2021
Tempered fractional LES modeling. Zbl 1514.76046
Samiee, Mehdi; Akhavan-Safaei, Ali; Zayernouri, Mohsen
4
2022
Fractional calculus and numerical methods for fractional PDEs. Zbl 1442.35514
Kharazmi, Ehsan; Mao, Zhiping; Pang, Guofei; Zayernouri, Mohsen; Karniadakis, George Em
3
2020
Fast spectral methods for temporally-distributed fractional PDEs. Zbl 1382.65347
Samiee, Mehdi; Kharazmi, Ehsan; Zayernouri, Mohsen
3
2017
Machine learning of nonlocal micro-structural defect evolutions in crystalline materials. Zbl 07644208
Barros de Moraes, Eduardo A.; D’Elia, Marta; Zayernouri, Mohsen
1
2023
A non-local spectral transfer model and new scaling law for scalar turbulence. Zbl 1511.76043
Akhavan-Safaei, Ali; Zayernouri, Mohsen
1
2023
Preface. Zbl 07470656
1
2018
A self-singularity-capturing scheme for fractional differential equations. Zbl 1480.65171
Suzuki, Jorge L.; Zayernouri, Mohsen
1
2021
Machine learning of nonlocal micro-structural defect evolutions in crystalline materials. Zbl 07644208
Barros de Moraes, Eduardo A.; D’Elia, Marta; Zayernouri, Mohsen
1
2023
A non-local spectral transfer model and new scaling law for scalar turbulence. Zbl 1511.76043
Akhavan-Safaei, Ali; Zayernouri, Mohsen
1
2023
Tempered fractional LES modeling. Zbl 1514.76046
Samiee, Mehdi; Akhavan-Safaei, Ali; Zayernouri, Mohsen
4
2022
A unified Petrov-Galerkin spectral method and fast solver for distributed-order partial differential equations. Zbl 1476.65272
Samiee, Mehdi; Kharazmi, Ehsan; Meerschaert, Mark M.; Zayernouri, Mohsen
10
2021
A thermodynamically consistent fractional visco-elasto-plastic model with memory-dependent damage for anomalous materials. Zbl 1506.74074
Suzuki, Jorge; Zhou, Yongtao; D’Elia, Marta; Zayernouri, Mohsen
10
2021
Data-driven fractional subgrid-scale modeling for scalar turbulence: a nonlocal LES approach. Zbl 07516447
Akhavan-Safaei, Ali; Samiee, Mehdi; Zayernouri, Mohsen
6
2021
A self-singularity-capturing scheme for fractional differential equations. Zbl 1480.65171
Suzuki, Jorge L.; Zayernouri, Mohsen
1
2021
Implicit-explicit time integration of nonlinear fractional differential equations. Zbl 1442.65125
Zhou, Yongtao; Suzuki, Jorge L.; Zhang, Chengjian; Zayernouri, Mohsen
8
2020
Fractional calculus and numerical methods for fractional PDEs. Zbl 1442.35514
Kharazmi, Ehsan; Mao, Zhiping; Pang, Guofei; Zayernouri, Mohsen; Karniadakis, George Em
3
2020
A unified spectral method for FPDEs with two-sided derivatives. I: A fast solver. Zbl 1451.65160
Samiee, Mehdi; Zayernouri, Mohsen; Meerschaert, Mark M.
15
2019
A unified spectral method for FPDEs with two-sided derivatives. II: Stability, and error analysis. Zbl 1451.65161
Samiee, Mehdi; Zayernouri, Mohsen; Meerschaert, Mark M.
11
2019
Fractional sensitivity equation method: application to fractional model construction. Zbl 1448.35550
Kharazmi, Ehsan; Zayernouri, Mohsen
8
2019
Fractional pseudo-spectral methods for distributed-order fractional PDEs. Zbl 1513.65251
Kharazmi, Ehsan; Zayernouri, Mohsen
23
2018
Preface. Zbl 07470656
1
2018
Petrov-Galerkin and spectral collocation methods for distributed order differential equations. Zbl 1367.65113
Kharazmi, Ehsan; Zayernouri, Mohsen; Karniadakis, George Em
47
2017
A review of applications of fractional calculus in Earth system dynamics. Zbl 1374.86028
Zhang, Yong; Sun, HongGuang; Stowell, Harold H.; Zayernouri, Mohsen; Hansen, Samantha E.
43
2017
A Petrov-Galerkin spectral method of linear complexity for fractional multiterm ODEs on the half line. Zbl 1367.65108
Lischke, Anna; Zayernouri, Mohsen; Karniadakis, George Em
24
2017
A Petrov-Galerkin spectral element method for fractional elliptic problems. Zbl 1439.65205
Kharazmi, Ehsan; Zayernouri, Mohsen; Karniadakis, George Em
23
2017
Fast spectral methods for temporally-distributed fractional PDEs. Zbl 1382.65347
Samiee, Mehdi; Kharazmi, Ehsan; Zayernouri, Mohsen
3
2017
Fractional Adams-Bashforth/Moulton methods: an application to the fractional Keller-Segel chemotaxis system. Zbl 1349.65234
Zayernouri, Mohsen; Matzavinos, Anastasios
26
2016
Fractional-order uniaxial visco-elasto-plastic models for structural analysis. Zbl 1439.74077
Suzuki, J. L.; Zayernouri, M.; Bittencourt, M. L.; Karniadakis, G. E.
16
2016
Fractional spectral collocation methods for linear and nonlinear variable order FPDEs. Zbl 1349.65531
Zayernouri, Mohsen; Karniadakis, George Em
112
2015
A unified Petrov-Galerkin spectral method for fractional PDEs. Zbl 1425.65127
Zayernouri, Mohsen; Ainsworth, Mark; Karniadakis, George Em.
74
2015
Tempered fractional Sturm-Liouville eigenproblems. Zbl 1323.34012
Zayernouri, Mohsen; Ainsworth, Mark; Karniadakis, George Em
47
2015
Fractional spectral collocation method. Zbl 1294.65097
Zayernouri, Mohsen; Karniadakis, George Em
149
2014
Exponentially accurate spectral and spectral element methods for fractional ODEs. Zbl 1349.65257
Zayernouri, Mohsen; Karniadakis, George Em
99
2014
Discontinuous spectral element methods for time- and space-fractional advection equations. Zbl 1304.35757
Zayernouri, Mohsen; Karniadakis, George Em
65
2014
Spectral and discontinuous spectral element methods for fractional delay equations. Zbl 1314.34159
Zayernouri, Mohsen; Cao, Wanrong; Zhang, Zhongqiang; Karniadakis, George Em
43
2014
Fractional Sturm-Liouville eigen-problems: theory and numerical approximation. Zbl 1349.34095
Zayernouri, Mohsen; Karniadakis, George Em
162
2013
Stochastic smoothed profile method for modeling random roughness in flow problems. Zbl 1286.76038
Zayernouri, Mohsen; Park, Sang-Woo; Tartakovsky, Daniel M.; Karniadakis, George Em
8
2013
all top 5

Cited by 903 Authors

25 Karniadakis, George Em
24 Wang, Hong
24 Zaky, Mahmoud A.
22 Zheng, Xiangcheng
21 Zayernouri, Mohsen
14 Abbaszadeh, Mostafa
14 Băleanu, Dumitru I.
14 Dehghan Takht Fooladi, Mehdi
14 Heydari, Mohammad Hossein
12 Mao, Zhiping
11 Bhrawy, Ali Hassan
11 Zhou, Zhi
10 Abdelkawy, Mohamed A.
10 Doha, Eid H.
9 Avazzadeh, Zakieh
9 Hendy, Ahmed S.
9 Liu, Fawang
9 Shen, Jie
9 Wang, Lilian
9 Zeng, Fanhai
8 Machado, José António Tenreiro
8 Sun, Hongguang
7 Deng, Weihua
7 Kharazmi, Ehsan
7 Yan, Yubin
7 Zhang, Zhongqiang
6 Cardone, Angelamaria
6 Chen, Hu
6 Ervin, Vincent J.
6 Fu, Hongfei
6 Hao, Zhaopeng
6 Hosseininia, Masoumeh
6 Jia, Jinhong
6 Jin, Bangti
6 Meerschaert, Mark Marvin
6 Zhang, Yong
6 Zhang, Zhimin
5 Aboelenen, Tarek
5 Ansari, Alireza
5 Cao, Wanrong
5 Chen, Sheng
5 Chen, Yanping
5 D’Elia, Marta
5 Duan, Beiping
5 Lazarov, Raytcho D.
5 Mohebbi, Akbar
5 Pandey, Rajesh Kumar
5 Razzaghi, Mohsen
5 Samiee, Mehdi
5 Xiao, Aiguo
5 Xu, Yang
5 Zhao, Jingjun
4 Al-Mdallal, Qasem M.
4 Aminikhah, Hossein
4 Anh, Vo V.
4 Bu, Weiping
4 Cai, Haotao
4 Chen, Huanzhen
4 Chen, Wen
4 Chen, Wenping
4 Eslahchi, Mohammad Reza
4 Garrappa, Roberto
4 Guo, Shimin
4 Hassani, Hossein
4 Huang, Can
4 Huang, Jianfei
4 Khosravian-Arab, Hassan
4 Li, Binjie
4 Lu, Shujuan
4 Macías-Díaz, Jorge Eduardo
4 Mei, Liquan
4 Sabir, Zulqurnain
4 Singh, Vineet Kumar
4 Suzuki, Jorge L.
4 Tang, Yifa
4 Turner, Ian William
4 Wu, Boying
4 Xie, Xiaoping
4 Xu, Chuanju
4 Zhang, YanMing
4 Zhao, Lijing
4 Zheng, Zhoushun
3 Abdeljawad, Thabet
3 Agrawal, Om Prakash
3 Ahmadian, Ali
3 Akhavan-Safaei, Ali
3 Al-Refai, Mohammed
3 Ameen, Ibrahem G.
3 Amin, Ahmed Z. M.
3 Atangana, Abdon
3 Babaei, Afshin
3 Burrage, Kevin
3 Cuevas, Claudio
3 Das, Subir
3 Ding, Hengfei
3 El-Hawary, H. M.
3 Ezz-Eldien, Samer S.
3 Feng, Libo
3 Ghanbari, Kazem
3 Gómez-Aguilar, José Francisco
...and 803 more Authors
all top 5

Cited in 111 Serials

46 Journal of Computational Physics
46 Applied Numerical Mathematics
38 Journal of Scientific Computing
28 Computers & Mathematics with Applications
25 Applied Mathematics and Computation
22 International Journal of Computer Mathematics
22 SIAM Journal on Scientific Computing
21 Journal of Computational and Applied Mathematics
20 Communications in Nonlinear Science and Numerical Simulation
18 Computational and Applied Mathematics
17 Mathematics and Computers in Simulation
17 Numerical Algorithms
17 Fractional Calculus & Applied Analysis
16 Computer Methods in Applied Mechanics and Engineering
14 Advances in Difference Equations
12 Mathematical Methods in the Applied Sciences
12 Numerical Methods for Partial Differential Equations
11 Chaos, Solitons and Fractals
11 SIAM Journal on Numerical Analysis
9 Applied Mathematics Letters
9 Advances in Computational Mathematics
8 International Journal of Applied and Computational Mathematics
8 Communications on Applied Mathematics and Computation
7 Nonlinear Dynamics
6 Computational Mechanics
6 Applied Mathematical Modelling
5 Computational Methods in Applied Mathematics
4 Journal of Fluid Mechanics
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 BIT
4 Fractals
4 Communications in Computational Physics
4 Numerical Mathematics: Theory, Methods and Applications
3 Mathematics of Computation
3 Engineering Analysis with Boundary Elements
3 Mathematical Problems in Engineering
3 Taiwanese Journal of Mathematics
3 Journal of Applied Mathematics and Computing
3 Discrete and Continuous Dynamical Systems. Series S
3 Journal of Function Spaces
2 Computers and Fluids
2 Physica A
2 Calcolo
2 ETNA. Electronic Transactions on Numerical Analysis
2 Complexity
2 Discrete Dynamics in Nature and Society
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Nonlinear Analysis. Modelling and Control
2 Mediterranean Journal of Mathematics
2 Acta Numerica
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Inverse Problems in Science and Engineering
2 Advances in Applied Mathematics and Mechanics
2 Science China. Mathematics
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Mathematical Sciences
2 Fractional Differential Calculus
2 East Asian Journal on Applied Mathematics
2 Mathematics
2 Computational Methods for Differential Equations
1 International Journal of Engineering Science
1 Journal of the Franklin Institute
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Physics
1 Mathematical Notes
1 Automatica
1 Demonstratio Mathematica
1 International Journal for Numerical Methods in Engineering
1 Journal of Approximation Theory
1 Journal of Optimization Theory and Applications
1 Mathematische Nachrichten
1 Bulletin of the Iranian Mathematical Society
1 Journal of Computational Mathematics
1 Acta Mathematicae Applicatae Sinica. English Series
1 Optimization
1 Asymptotic Analysis
1 Journal of Integral Equations and Applications
1 SIAM Review
1 Applied Mathematics. Series B (English Edition)
1 Acta Universitatis Matthiae Belii. Series Mathematics
1 Turkish Journal of Mathematics
1 Integral Transforms and Special Functions
1 Arab Journal of Mathematical Sciences
1 Journal of Mathematical Chemistry
1 Abstract and Applied Analysis
1 European Journal of Mechanics. A. Solids
1 Mathematical Modelling and Analysis
1 Discrete and Continuous Dynamical Systems. Series B
1 Applied Mathematics E-Notes
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 South East Asian Journal of Mathematics and Mathematical Sciences
1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
1 International Journal of Computational Methods
1 International Journal of Numerical Analysis and Modeling
1 Boundary Value Problems
1 Acta Mechanica Sinica
1 Journal of Fixed Point Theory and Applications
1 Mathematical Modelling of Natural Phenomena
1 Tbilisi Mathematical Journal
1 SIAM Journal on Financial Mathematics
...and 11 more Serials
all top 5

Cited in 36 Fields

491 Numerical analysis (65-XX)
338 Partial differential equations (35-XX)
170 Ordinary differential equations (34-XX)
160 Real functions (26-XX)
40 Integral equations (45-XX)
39 Special functions (33-XX)
38 Fluid mechanics (76-XX)
36 Approximations and expansions (41-XX)
21 Mechanics of deformable solids (74-XX)
16 Probability theory and stochastic processes (60-XX)
15 Calculus of variations and optimal control; optimization (49-XX)
15 Biology and other natural sciences (92-XX)
10 Operator theory (47-XX)
9 Integral transforms, operational calculus (44-XX)
8 Computer science (68-XX)
7 Statistical mechanics, structure of matter (82-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Dynamical systems and ergodic theory (37-XX)
6 Difference and functional equations (39-XX)
6 Systems theory; control (93-XX)
5 Geophysics (86-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Information and communication theory, circuits (94-XX)
3 Mechanics of particles and systems (70-XX)
3 Optics, electromagnetic theory (78-XX)
3 Quantum theory (81-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 General and overarching topics; collections (00-XX)
2 Number theory (11-XX)
2 Functions of a complex variable (30-XX)
2 Functional analysis (46-XX)
2 Statistics (62-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 History and biography (01-XX)
1 Potential theory (31-XX)

Citations by Year