Publications associées à Symplectic dynamical low rank approximation of wave equations with random parameters

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Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

Fabio Nobile, Giovanni Migliorati, Erik Gustaf Bogislaw Von Schwerin

In this work we consider the random discrete

L^2

projection on polynomial spaces (hereafter RDP) for the approximation of scalar quantities of interest (QOIs) related to the solution of a partial differential equation model with random input parameters. ...

Siam Publications2013

Symplectic dynamical low rank approximation of wave equations with random parameters

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

Structure preserving model reduction of parametric Hamiltonian systems

Multi-index Monte Carlo: when sparsity meets sampling

Approximate cloaking for the full wave equation via change of variables: The Drude-Lorentz model

Hyperkahler Floer Theory As Infinite Dimensional Hamiltonian System

Low rank differential equations for Hamiltonian matrix nearness problems

Generalized impedance boundary conditions for strongly absorbing obstacle: The full wave equation

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

A stochastic collocation method for the second order wave equation with a discontinuous random speed

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

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

Multi-index Monte Carlo: when sparsity meets sampling

Structure preserving model reduction of parametric Hamiltonian systems

Approximate cloaking for the full wave equation via change of variables: The Drude-Lorentz model

Low rank differential equations for Hamiltonian matrix nearness problems

Hyperkahler Floer Theory As Infinite Dimensional Hamiltonian System

Generalized impedance boundary conditions for strongly absorbing obstacle: The full wave equation

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

A stochastic collocation method for the second order wave equation with a discontinuous random speed

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces