Reduced operator inference for nonlinear partial differential equations

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Reduced operator inference for nonlinear partial differential equations

29 January 2021

Ionut-Gabriel Farcas

Karen E. Willcox

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Papers citing "Reduced operator inference for nonlinear partial differential equations"

13 / 13 papers shown

Title
Cauchy Random Features for Operator Learning in Sobolev Space Chunyang Liao Deanna Needell Hayden Schaeffer 124 1 0 01 Mar 2025
Distributed computing for physics-based data-driven reduced modeling at scale: Application to a rotating detonation rocket engine Ionut-Gabriel Farcas Rayomand P. Gundevia R. Munipalli Karen E. Willcox AI4CE 120 1 0 13 Jul 2024
GFN: A graph feedforward network for resolution-invariant reduced operator learning in multifidelity applications Oisín M. Morrison F. Pichi J. Hesthaven AI4CE 72 6 0 05 Jun 2024
Multifidelity linear regression for scientific machine learning from scarce data Elizabeth Qian Dayoung Kang Vignesh Sella Anirban Chaudhuri AI4CE 102 2 0 13 Mar 2024
Operator Learning: Algorithms and Analysis Nikola B. Kovachki S. Lanthaler Andrew M. Stuart 148 33 0 24 Feb 2024
Energy-Preserving Reduced Operator Inference for Efficient Design and Control Tomoki Koike Elizabeth Qian 30 5 0 05 Jan 2024
Gaussian process learning of nonlinear dynamics Dongwei Ye Mengwu Guo 63 4 0 19 Dec 2023
D2NO: Efficient Handling of Heterogeneous Input Function Spaces with Distributed Deep Neural Operators Zecheng Zhang Christian Moya Lu Lu Guang Lin Hayden Schaeffer 102 14 0 29 Oct 2023
Nonlinear dimensionality reduction then and now: AIMs for dissipative PDEs in the ML era E. D. Koronaki N. Evangelou Cristina P. Martin-Linares E. Titi Ioannis G. Kevrekidis 50 6 0 24 Oct 2023
Streaming Compression of Scientific Data via weak-SINDy Benjamin P. Russo M. P. Laiu Rick Archibald 68 3 0 29 Aug 2023
Residual-Based Error Corrector Operator to Enhance Accuracy and Reliability of Neural Operator Surrogates of Nonlinear Variational Boundary-Value Problems Prashant K. Jha 69 5 0 21 Jun 2023
Convergence of weak-SINDy Surrogate Models Benjamin P. Russo M. P. Laiu 41 8 0 30 Sep 2022
Learning Green's functions associated with time-dependent partial differential equations N. Boullé Seick Kim Tianyi Shi Alex Townsend AI4CE 97 26 0 27 Apr 2022