activity
20222026
most citedRiemannONets: Interpretable Neural Operators for Riemann Problems

36 citations · 64 across the 7 of their papers we have counts for

collaborators

8 papers

quant-ph2026

Noise Propagation and Effective Channels in Encrypted Quantum Cloning

Yun-Fei Li, Fei-Hao Yang, Qing Chen +1

We investigate noise propagation in encrypted quantum cloning by formulating the protocol in terms of effective recovery channels. For local single-qubit completely positive trace-…

physics.comp-ph2025

H3PC: Hypersonic, High-Order, High-Performance Code with Adaptive Mesh Refinement and Real Chemistry

Ahmad Peyvan, Khemraj Shukla, George Em Karniadakis

We have developed a hypersonic high-order, high-performance code (HPC) utilizing the ``Trixi.jl" framework in order to simulate both non-reactive and chemically reactive compre…

cs.LG2025★ 1 cited

Crack Path Prediction with Operator Learning using Discrete Particle System data Generation

Elham Kiyani, Venkatesh Ananchaperumal, Ahmad Peyvan +3

Accurately modeling crack propagation is critical for predicting failure in engineering materials and structures, where small cracks can rapidly evolve and cause catastrophic damag…

physics.flu-dyn2024

Hypersonic Boundary Layer Transition and Heat Loading

Ahmad Peyvan, Luis Bravo, Anindya Ghoshal +2

Hypersonic boundary layer transition using high-order methods for direct numerical simulations (DNS) is largely unexplored, although a few references exist in the literature. Exper…

cs.LG2024

Transformers as Neural Operators for Solutions of Differential Equations with Finite Regularity

Benjamin Shih, Ahmad Peyvan, Zhongqiang Zhang +1

Neural operator learning models have emerged as very effective surrogates in data-driven methods for partial differential equations (PDEs) across different applications from comput…

cs.LG2024★ 36 cited

RiemannONets: Interpretable Neural Operators for Riemann Problems

Ahmad Peyvan, Vivek Oommen, Ameya D. Jagtap +1

Developing the proper representations for simulating high-speed flows with strong shock waves, rarefactions, and contact discontinuities has been a long-standing question in numeri…

physics.flu-dyn2023★ 3 cited

Deep neural operators can serve as accurate surrogates for shape optimization: A case study for airfoils

Khemraj Shukla, Vivek Oommen, Ahmad Peyvan +5

Deep neural operators, such as DeepONets, have changed the paradigm in high-dimensional nonlinear regression from function regression to (differential) operator regression, paving…

physics.flu-dyn2022★ 24 cited

High-Order Methods for Hypersonic Flows with Strong Shocks and Real Chemistry

Ahmad Peyvan, Khemraj Shukla, Jesse Chan +1

We compare high-order methods including spectral difference (SD), flux reconstruction (FR), the entropy-stable discontinuous Galerkin spectral element method (ES-DGSEM), modal disc…