Petrov-Galerkin and Spectral Collocation Methods for Distributed Order Differential Equations. - Ehsan Kharazmi; Mohsen Zayernouri; George E. Karniadakis (SIAM J. Sci. Comput., 2017)

Fractional pseudo-spectral methods for distributed-order fractional PDEs. - Ehsan Kharazmi; Mohsen Zayernouri (Int. J. Comput. Math., 2018)

Vibration Analysis of Geometrically Nonlinear and Fractional Viscoelastic Cantilever Beams. - Pegah Varghaei; Ehsan Kharazmi; Jorge L. Suzuki; Mohsen Zayernouri (CoRR, 2019)

Variational Physics-Informed Neural Networks For Solving Partial Differential Equations. - Ehsan Kharazmi; Zhongqiang Zhang; George Em Karniadakis (CoRR, 2019)

Fractional Sensitivity Equation Method: Application to Fractional Model Construction. - Ehsan Kharazmi; Mohsen Zayernouri (J. Sci. Comput., 2019)

hp-VPINNs: Variational Physics-Informed Neural Networks With Domain Decomposition. - Ehsan Kharazmi; Zhongqiang Zhang; George Em Karniadakis (CoRR, 2020)

Anomalous Nonlinear Dynamics Behavior of Fractional Viscoelastic Structures. - Jorge L. Suzuki; Pegah Varghaei; Ehsan Kharazmi; Mohsen Zayernouri (CoRR, 2020)

Fractional Buffer Layers: Absorbing Boundary Conditions for Wave Propagation. - Min Cai; Ehsan Kharazmi; Changpin Li; George Em Karniadakis (CoRR, 2021)

Identifiability and predictability of integer- and fractional-order epidemiological models using physics-informed neural networks. - Ehsan Kharazmi; Min Cai; Xiaoning Zheng; Zhen Zhang 029; Guang Lin 001; George Em Karniadakis (Nat. Comput. Sci., 2021)

DeepVIVONet: Using deep neural operators to optimize sensor locations with application to vortex-induced vibrations. - Ruyin Wan; Ehsan Kharazmi; Michael S. Triantafyllou; George Em Karniadakis (CoRR, 2025)