91 citations · 279 across the 19 of their papers we have counts for
4 papers · 2 filters
FC-based shock-dynamics solver with neural-network localized artificial-viscosity assignment
Oscar P. Bruno, Jan S. Hesthaven, Daniel V. Leibovici
This paper presents a spectral scheme for the numerical solution of nonlinear conservation laws in non-periodic domains under arbitrary boundary conditions. The approach relies on…
Structure-preserving model order reduction of Hamiltonian systems
J. S. Hesthaven, C. Pagliantini, N. Ripamonti
We discuss the recent developments of projection-based model order reduction (MOR) techniques targeting Hamiltonian problems. Hamilton's principle completely characterizes many hig…
A hierarchical preconditioner for wave problems in quasilinear complexity
Boris Bonev, Jan S. Hesthaven
The paper introduces a novel, hierarchical preconditioner based on nested dissection and hierarchical matrix compression. The preconditioner is intended for continuous and disconti…
Multi-fidelity regression using artificial neural networks: efficient approximation of parameter-dependent output quantities
Mengwu Guo, Andrea Manzoni, Maurice Amendt +2
Highly accurate numerical or physical experiments are often time-consuming or expensive to obtain. When time or budget restrictions prohibit the generation of additional data, the…