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math.NA2019
Stability-preserving model order reduction for linear stochastic Galerkin systems
Roland Pulch
Mathematical modeling often yields linear dynamical systems in science and engineering. We change physical parameters of the system into random variables to perform an uncertainty…
math.NA2019
Poly-Sinc Solution of Stochastic Elliptic Differential Equations
Maha Youssef, Roland Pulch
In this paper, we introduce a numerical solution of a stochastic partial differential equation (SPDE) of elliptic type using polynomial chaos along side with polynomial approximati…