no code implementations • 16 May 2023 • Junming Duan, Qian Wang, Jan S. Hesthaven
The model is built on a linear term that can make a reasonably accurate prediction and a nonlinear correction for accuracy improvement.
1 code implementation • 15 May 2023 • Federico Pichi, Beatriz Moya, Jan S. Hesthaven
Here, we develop a non-intrusive and data-driven nonlinear reduction approach, exploiting GNNs to encode the reduced manifold and enable fast evaluations of parametrized PDEs.
no code implementations • 5 Aug 2022 • Paolo Conti, Mengwu Guo, Andrea Manzoni, Jan S. Hesthaven
Especially for parametrized, time dependent problems in engineering computations, it is often the case that acceptable computational budgets limit the availability of high-fidelity, accurate simulation data.
no code implementations • 22 Sep 2021 • Federico Pichi, Francesco Ballarin, Gianluigi Rozza, Jan S. Hesthaven
This work deals with the investigation of bifurcating fluid phenomena using a reduced order modelling setting aided by artificial neural networks.
no code implementations • 28 Apr 2021 • Przemyslaw Zielinski, Jan S. Hesthaven
Finding a reduction of complex, high-dimensional dynamics to its essential, low-dimensional "heart" remains a challenging yet necessary prerequisite for designing efficient numerical approaches.
no code implementations • 26 Feb 2021 • Mengwu Guo, Andrea Manzoni, Maurice Amendt, Paolo Conti, Jan S. Hesthaven
In this work, we present the use of artificial neural networks applied to multi-fidelity regression problems.
no code implementations • 29 Apr 2019 • Jim Magiera, Deep Ray, Jan S. Hesthaven, Christian Rohde
Neural networks are increasingly used in complex (data-driven) simulations as surrogates or for accelerating the computation of classical surrogates.
no code implementations • 16 Aug 2013 • Scott E. Field, Chad R. Galley, Jan S. Hesthaven, Jason Kaye, Manuel Tiglio
Our approach is based on three offline steps resulting in an accurate reduced-order model that can be used as a surrogate for the true/fiducial waveform family.
General Relativity and Quantum Cosmology Computational Engineering, Finance, and Science