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Induced and coinduced Banach Lie-Poisson spaces and integrability

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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

Induced and coinduced Banach Lie-Poisson spaces and integrability

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

Structure-Preserving Reduced Basis Methods For Poisson Systems

Phase retrieval in high dimensions: Statistical and computational phase transitions

Symplectic dynamical low rank approximation of wave equations with random parameters

Dynamical Reduced Basis Methods for Hamiltonian Systems

Structure-Preserving Reduced Basis Methods for Hamiltonian Systems with a Nonlinear Poisson Structure

Fast hierarchical solvers for symmetric eigenvalue problems

Structure-Preserving Reduced Basis Methods for Hamiltonian Systems with a State-dependent Poisson Structure

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 Reduced Basis Methods For Poisson Systems

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

Symplectic dynamical low rank approximation of wave equations with random parameters

Structure-Preserving Reduced Basis Methods for Hamiltonian Systems with a Nonlinear Poisson Structure

Dynamical Reduced Basis Methods for Hamiltonian Systems

Fast hierarchical solvers for symmetric eigenvalue problems

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

Phase retrieval in high dimensions: Statistical and computational phase transitions

Structure-Preserving Reduced Basis Methods for Hamiltonian Systems with a State-dependent Poisson Structure

Symplectic Dynamical Low Rank approximation of wave equations with random parameters