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The Momentum Map In Poisson Geometry

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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

The Momentum Map In Poisson Geometry

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Symplectic Model-Reduction with a Weighted Inner Product

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

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

Dynamical Low Rank approximation of PDEs with random parameters

Structure-Preserving Model-Reduction of Dissipative Hamiltonian Systems

Analysis of adiabatic trapping for quasi-integrable area-preserving maps

New Techniques For Obtaining Schubert-Type Formulas For Hamiltonian Manifolds

Extensions of Lie-Rinehart algebras and cotangent bundle reduction

Higher order Lagrange-Poincar, and Hamilton-Poincar, reductions

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

Dynamical Low Rank approximation of PDEs with random parameters

Analysis of adiabatic trapping for quasi-integrable area-preserving maps

Symplectic Dynamical Low Rank approximation of wave equations with random parameters

Symplectic Model-Reduction with a Weighted Inner Product

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

Higher order Lagrange-Poincar, and Hamilton-Poincar, reductions

New Techniques For Obtaining Schubert-Type Formulas For Hamiltonian Manifolds

Structure-Preserving Model-Reduction of Dissipative Hamiltonian Systems

Extensions of Lie-Rinehart algebras and cotangent bundle reduction