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Publications associées (23)
Structure-preserving approaches and data-driven closure modeling for model order reduction
In this thesis, we propose model order reduction techniques for high-dimensional PDEs that preserve structures of the original problems and develop a closure modeling framework leveraging the Mori-Zwanzig formalism and recurrent neural networks. Since high ...
EPFL2022Einstein's quantum elevator: Hermitization of non-Hermitian Hamiltonians via a generalized vielbein formalism
The formalism for non-Hermitian quantum systems sometimes blurs the underlying physics. We present a systematic study of the vielbeinlike formalism which transforms the Hilbert space bundles of non-Hermitian systems into the conventional ones, rendering th ...
AMER PHYSICAL SOC2022Symplectic dynamical low rank approximation of wave equations with random parameters
Fabio Nobile, Eleonora Musharbash, Eva Vidlicková
In this paper we propose a dynamical low-rank strategy for the approximation of second order wave equations with random parameters. The governing equation is rewritten in Hamiltonian form and the approximate solution is expanded over a set of 2S dynamical ...
2020