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math.NA2023★ 2 cited
Stochastic Galerkin method and port-Hamiltonian form for linear first-order ordinary differential equations
Roland Pulch, Olivier Sète
We consider linear first-order systems of ordinary differential equations (ODEs) in port-Hamiltonian (pH) form. Physical parameters are remodelled as random variables to conduct an…
math.NA2023
Energy-based model order reduction for linear stochastic Galerkin systems of second order
Roland Pulch
We consider a second-order linear system of ordinary differential equations (ODEs) including random variables. A stochastic Galerkin method yields a larger deterministic linear sys…
math.NA2023
Stochastic Galerkin method and port-Hamiltonian form for linear dynamical systems of second order
Roland Pulch
We investigate linear dynamical systems of second order. Uncertainty quantification is applied, where physical parameters are substituted by random variables. A stochastic Galerkin…