This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.Eigel, MartinErnst, OliverSprungk, BjörnTamellini, Lorenzo2022-06-302022-06-302020https://oa.tib.eu/renate/handle/123456789/9403https://doi.org/10.34657/8441Convergence of an adaptive collocation method for the stationary parametric diffusion equation with finite-dimensional affine coefficient is shown. The adaptive algorithm relies on a recently introduced residual-based reliable a posteriori error estimator. For the convergence proof, a strategy recently used for a stochastic Galerkin method with an hierarchical error estimator is transferred to the collocation setting.eng510Random PDEsparametric PDEsa posteriori adaptivityresidual error estimatorconvergenceaffine diffusion coefficientsparse gridsstochastic collocationReport20 S.