Conservative physics-informed neural networks on discrete domains for conservation laws: Applications to forward and inverse problems AD Jagtap, E Kharazmi, GE Karniadakis Computer Methods in Applied Mechanics and Engineering 365, 113028, 2020 | 654 | 2020 |
hp-VPINNs: Variational physics-informed neural networks with domain decomposition E Kharazmi, Z Zhang, GE Karniadakis Computer Methods in Applied Mechanics and Engineering 374, 113547, 2021 | 457 | 2021 |
Variational physics-informed neural networks for solving partial differential equations E Kharazmi, Z Zhang, GE Karniadakis arXiv preprint arXiv:1912.00873, 2019 | 293 | 2019 |
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 | 83 | 2017 |
Identifiability and predictability of integer-and fractional-order epidemiological models using physics-informed neural networks E Kharazmi, M Cai, X Zheng, Z Zhang, G Lin, GE Karniadakis Nature Computational Science 1 (11), 744-753, 2021 | 65 | 2021 |
A Petrov–Galerkin spectral element method for fractional elliptic problems E Kharazmi, M Zayernouri, G Em Karniadakis Computer Methods in Applied Mechanics and Engineering 324, 512-536, 2017 | 51 | 2017 |
Fractional pseudo-spectral methods for distributed-order fractional PDEs E Kharazmi, M Zayernouri International Journal of Computer Mathematics, 1-22, 2018 | 44 | 2018 |
Fractional sensitivity equation method: Application to fractional model construction E Kharazmi, M Zayernouri Journal of Scientific Computing 80, 110-140, 2019 | 25 | 2019 |
Anomalous nonlinear dynamics behavior of fractional viscoelastic beams JL Suzuki, E Kharazmi, P Varghaei, M Naghibolhosseini, M Zayernouri Journal of computational and nonlinear dynamics 16 (11), 111005, 2021 | 24 | 2021 |
Petrov-Galerkin method for fully distributed-order fractional partial differential equations M Samiee, E Kharazmi, M Zayernouri, MM Meerschaert arXiv preprint arXiv:1805.08242, 2018 | 19 | 2018 |
Inferring vortex induced vibrations of flexible cylinders using physics-informed neural networks E Kharazmi, D Fan, Z Wang, MS Triantafyllou Journal of Fluids and Structures 107, 103367, 2021 | 17 | 2021 |
A unified Petrov–Galerkin spectral method and fast solver for distributed-order partial differential equations M Samiee, E Kharazmi, MM Meerschaert, M Zayernouri Communications on Applied Mathematics and Computation 3, 61-90, 2021 | 13 | 2021 |
Vibration analysis of geometrically nonlinear and fractional viscoelastic cantilever beams P Varghaei, E Kharazmi, JL Suzuki, M Zayernouri arXiv preprint arXiv:1909.02142, 2019 | 13 | 2019 |
Asymmetric post-flutter oscillations of a cantilever due to a dynamic follower force V Zamani, E Kharazmi, R Mukherjee Journal of Sound and Vibration 340, 253-266, 2015 | 13 | 2015 |
From data to assessment models, demonstrated through a digital twin of marine risers E Kharazmi, Z Wang, D Fan, S Rudy, T Sapsis, MS Triantafyllou, ... Offshore Technology Conference, D031S035R003, 2021 | 12 | 2021 |
Operator-based uncertainty quantification of stochastic fractional partial differential equations E Kharazmi, M Zayernouri Journal of Verification, Validation and Uncertainty Quantification 4 (4), 041006, 2019 | 10 | 2019 |
Fast spectral methods for temporally-distributed fractional PDEs M Samiee, E Kharazmi, M Zayernouri Spectral and High Order Methods for Partial Differential Equations ICOSAHOM …, 2017 | 9 | 2017 |
Resonances of a forced van der Pol equation with parametric damping F Afzali, E Kharazmi, BF Feeny Nonlinear Dynamics 111 (6), 5269-5285, 2023 | 7 | 2023 |
Anomalous nonlinear dynamics behavior of fractional viscoelastic structures JL Suzuki, P Varghaei, E Kharazmi, M Zayernouri arXiv preprint arXiv:2009.12214, 2020 | 4 | 2020 |
Fractional Calculus and Numerical Methods for Fractional PDEs K Ehsan, Z Mao, G Pang, M Zayernouri, GE Karniadakis First Congress of Greek Mathematicians, Proceedings of the Congress held in …, 2020 | 4* | 2020 |