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Symplectic Dynamical Low Rank approximation of wave equations with random parameters

Fabio Nobile, Eleonora Musharbash

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

dynamica ...

2017

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Generalised Howe duality and injectivity of induction: the symplectic case

Rank-adaptive structure-preserving model order reduction of Hamiltonian systems

Structure-preserving approaches and data-driven closure modeling for model order reduction

Einstein's quantum elevator: Hermitization of non-Hermitian Hamiltonians via a generalized vielbein formalism

Symplectic dynamical low rank approximation of wave equations with random parameters

Dynamical Reduced Basis Methods for Hamiltonian Systems

The tropical momentum map: a classification of toric log symplectic manifolds

Symplectic Dynamical Low Rank approximation of wave equations with random parameters

MATHICSE Technical Report : Symplectic dynamical low rank approximation of wave equations with random parameters

Structure-Preserving Model-Reduction of Dissipative Hamiltonian Systems

Einstein's quantum elevator: Hermitization of non-Hermitian Hamiltonians via a generalized vielbein formalism

Generalised Howe duality and injectivity of induction: the symplectic case

Rank-adaptive structure-preserving model order reduction of Hamiltonian systems

Symplectic dynamical low rank approximation of wave equations with random parameters

Structure-preserving approaches and data-driven closure modeling for model order reduction

Dynamical Reduced Basis Methods for Hamiltonian Systems

MATHICSE Technical Report : Symplectic dynamical low rank approximation of wave equations with random parameters

Structure-Preserving Model-Reduction of Dissipative Hamiltonian Systems

The tropical momentum map: a classification of toric log symplectic manifolds

Symplectic Dynamical Low Rank approximation of wave equations with random parameters