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arxiv: 1409.7970 · v1 · pith:AH4YLGTSnew · submitted 2014-09-29 · 🧮 math.NA

Higher Order Quasi Monte-Carlo Integration in Uncertainty Quantification

classification 🧮 math.NA
keywords higherorderquantificationuncertaintyapproximationsarisecarlocomputational
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We review recent results on dimension-robust higher order convergence rates of Quasi-Monte Carlo Petrov-Galerkin approximations for response functionals of infinite-dimensional, parametric operator equations which arise in computational uncertainty quantification.

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