Modal explicit filtering for large eddy simulation in discontinuous spectral element method. - Zia Ghiasi; Jonathan Komperda; Dongru Li; Ahmad Peyvan; David P. Nicholls; Farzad Mashayek (J. Comput. Phys. X, 2019)

Flux reconstruction using Jacobi correction functions in discontinuous spectral element method. - Ahmad Peyvan; Jonathan Komperda; Dongru Li; Zia Ghiasi; Farzad Mashayek (J. Comput. Phys., 2021)

Oscillation-free nodal discontinuous spectral element method for the simulation of compressible multicomponent flows. - Ahmad Peyvan; Dongru Li; Jonathan Komperda; Farzad Mashayek (J. Comput. Phys., 2022)

Deep neural operators can serve as accurate surrogates for shape optimization: A case study for airfoils. - Khemraj Shukla; Vivek Oommen; Ahmad Peyvan; Michael Penwarden; Luis Bravo; Anindya Ghoshal; Robert M. Kirby; George Em Karniadakis (CoRR, 2023)

High-order methods for hypersonic flows with strong shocks and real chemistry. - Ahmad Peyvan; Khemraj Shukla; Jesse Chan; George E. Karniadakis (J. Comput. Phys., 2023)

RiemannONets: Interpretable Neural Operators for Riemann Problems. - Ahmad Peyvan; Vivek Oommen; Ameya D. Jagtap; George Em Karniadakis (CoRR, 2024)

Transformers as Neural Operators for Solutions of Differential Equations with Finite Regularity. - Benjamin Shih; Ahmad Peyvan; Zhongqiang Zhang; George Em Karniadakis (CoRR, 2024)

Deep neural operators as accurate surrogates for shape optimization. - Khemraj Shukla; Vivek Oommen; Ahmad Peyvan; Michael Penwarden; Nicholas Plewacki; Luis Bravo; Anindya Ghoshal; Robert M. Kirby; George Em Karniadakis (Eng. Appl. Artif. Intell., 2024)

Fusion DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic Flows on Arbitrary Grids. - Ahmad Peyvan; Varun Kumar (CoRR, 2025)

Crack Path Prediction with Operator Learning using Discrete Particle System data Generation. - Elham Kiyani; Venkatesh Ananchaperumal; Ahmad Peyvan; Mahendaran Uchimali; Gang Li; George Em Karniadakis (CoRR, 2025)