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Nonparametric density estimation for randomly perturbed elliptic problems III: convergence, computational cost, and generalizations

✍ Scribed by Donald Estep; Michael J. Holst; Axel Målqvist


Book ID
107620120
Publisher
Springer-Verlag
Year
2011
Tongue
English
Weight
667 KB
Volume
38
Category
Article
ISSN
1598-5865

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## Abstract In this paper, we develop and apply an efficient adaptive algorithm for computing the propagation of uncertainty into a quantity of interest computed from numerical solutions of an elliptic partial differential equation with a randomly perturbed diffusion coefficient. The algorithm is w