Proves dimension-independent, essentially linear convergence of randomly shifted lattice QMC for expected PDE solutions under Gevrey-regular random domain deformations, including truncation and finite-element discretization errors.
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Uncertainty quantification for stationary and time-dependent PDEs subject to Gevrey regular random domain deformations
Proves dimension-independent, essentially linear convergence of randomly shifted lattice QMC for expected PDE solutions under Gevrey-regular random domain deformations, including truncation and finite-element discretization errors.