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

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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

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

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

Generalised Howe duality and injectivity of induction: the symplectic case

Structure-Preserving Reduced Basis Methods For Poisson Systems

Scattering Map for the Vlasov–Poisson System

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

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

Symplectic Model-Reduction with a Weighted Inner Product

Symplectic Dynamical Low Rank approximation of wave equations with random parameters

Structure-Preserving Reduced Basis Methods For Poisson Systems

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

Scattering Map for the Vlasov–Poisson System

Dynamical Reduced Basis Methods for Hamiltonian Systems

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

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

Symplectic Model-Reduction with a Weighted Inner Product

Generalised Howe duality and injectivity of induction: the symplectic case

Symplectic dynamical low rank approximation of wave equations with random parameters

Symplectic Dynamical Low Rank approximation of wave equations with random parameters