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Showing 1 to 2 of 2 for “"stochastic collocation methods"”.
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A reduced-basis method for input-output uncertainty propagation in stochastic PDEs
… through random media. Monte-Carlo based sampling methods, generalized polynomial chaos and stochastic collocation methods are some of the popular approaches that have been used in the analysis of such problems. This work proposes a non-intrusive reduced-basis method for the rapid and reliable …
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A Variational Approach to Estimating Uncertain Parameters in Elliptic Systems
… we propose a variational approach to solve the stochastic inverse problem of obtaining a statistical description of the diffusion coefficient in an elliptic partial differential equation, based noisy measurements of the model output. We formulate the parameter identification problem as an …