Abstract:The governing equations of the stochastic Galerkin method can be formulated as a generalized Sylvester equation. Therefore developing solvers for it is attracting a lot of attention from the uncertainty quantification community. In this regard Krylov subspace based iterative solvers, which are used for standard linear systems are being used for the generalized Sylvester equations as well. This is achieved by converting the generalized Sylvester equation to a standard linear system using the Kronecker product. … Show more
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