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math.NA2018
Hiding the weights -- CBC black box algorithms with a guaranteed error bound
Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan
The component-by-component (CBC) algorithm is a method for constructing good generating vectors for lattice rules for the efficient computation of high-dimensional integrals in the…
math.NA2018
Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients
Alexander D. Gilbert, Ivan G. Graham, Frances Y. Kuo +2
We consider the forward problem of uncertainty quantification for the generalised Dirichlet eigenvalue problem for a coercive second order partial differential operator with random…