Edit Profile (opens in new tab) Zayernouri, Mohsen Co-Author Distance Author ID: zayernouri.mohsen Published as: Zayernouri, Mohsen; Zayernouri, M. Documents Indexed: 38 Publications since 2013, including 8 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 33 Co-Authors with 39 Joint Publications 956 Co-Co-Authors all top 5 Co-Authors 0 single-authored 15 Karniadakis, George Em 11 Kharazmi, Ehsan 9 Suzuki, Jorge L. 7 Samiee, Mehdi 4 Meerschaert, Mark Marvin 3 Akhavan-Safaei, Ali 3 D’Elia, Marta 2 Ainsworth, Mark 2 Lischke, Anna 2 Varghaei, Pegah 2 Zhou, Yongtao 1 Ari, Murat 1 Barros de Moraes, Eduardo A. 1 Bittencourt, Marco Lúcio 1 Cao, Wanrong 1 Faal, Reza Teymoori 1 Furati, Khaled M. 1 Gulian, Mamikon 1 Hansen, Samantha E. 1 Khaliq, Abdul Q. M. 1 Mao, Zhiping 1 Matzavinos, Anastasios 1 Naghibolhosseini, Maryam 1 Pang, Guofei 1 Park, Sangwoo 1 Roccabianca, Sara 1 Stowell, Harold H. 1 Sun, Hongguang 1 Tartakovsky, Daniel M. 1 Tuttle, Tyler G. 1 Zhang, Chengjian 1 Zhang, Yong 1 Zhang, Zhongqiang all top 5 Serials 7 Journal of Computational Physics 6 Computer Methods in Applied Mechanics and Engineering 6 SIAM Journal on Scientific Computing 4 International Journal of Computer Mathematics 2 Journal of Fluid Mechanics 1 Chaos, Solitons and Fractals 1 Applied Numerical Mathematics 1 Journal of Scientific Computing 1 Communications on Applied Mathematics and Computation all top 5 Fields 19 Numerical analysis (65-XX) 15 Ordinary differential equations (34-XX) 13 Partial differential equations (35-XX) 6 Mechanics of deformable solids (74-XX) 4 Fluid mechanics (76-XX) 3 Real functions (26-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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