79 citations · 258 across the 61 of their papers we have counts for
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Analysis of circulant embedding methods for sampling stationary random fields
Ivan G. Graham, Frances Y. Kuo, Dirk Nuyens +2
In this paper we prove, under mild conditions, that the positive definiteness of the circulant matrix appearing in the circulant embedding method is always guaranteed, provided the…
dune-composites -- A New Framework for High-Performance Finite Element Modelling of Laminates
Anne Reinarz, Tim Dodwell, Tim Fletcher +3
Finite element (FE) analysis has the potential to offset much of the expensive experimental testing currently required to certify aerospace laminates. However, large numbers of deg…
A hybrid Alternating Least Squares -- TT Cross algorithm for parametric PDEs
Sergey Dolgov, Robert Scheichl
We consider the approximate solution of parametric PDEs using the low-rank Tensor Train (TT) decomposition. Such parametric PDEs arise for example in uncertainty quantification pro…
Modern Monte Carlo Variants for Uncertainty Quantification in Neutron Transport
Ivan G. Graham, Matthew J. Parkinson, Robert Scheichl
We describe modern variants of Monte Carlo methods for Uncertainty Quantification (UQ) of the Neutron Transport Equation, when it is approximated by the discrete ordinates method w…