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Dynamical Low Rank approximation of PDEs with random parameters

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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

Dynamical Low Rank approximation of PDEs with random parameters

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

Symplectic Dynamical Low Rank approximation of wave equations with random parameters

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PDE-constrained optimal control problems with uncertain parameters using SAGA

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

Convergence To Stratified Flow For An Inviscid 3D Boussinesq System

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

Symplectic Dynamical Low Rank approximation of wave equations with random parameters

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

Multiplicity Of Solutions For Linear Partial Differential Equations Using (Generalized) Energy Operators

Isogeometric Analysis for High Order Geometric Partial Differential Equations with Applications

Semi-analytical Solutions for Tubular Chemical Reactors

Uncertainty Quantification of geochemical and mechanical compaction in layered sedimentary basins