Combining sparse grids, multilevel MC and QMC for elliptic PDEs with random coefficients

Autor: Frances Y. Kuo, Ian H. Sloan, Michael B. Giles
Přispěvatelé: Owen, A, Glynn, P
Rok vydání: 2019
Předmět:
Zdroj: Springer Proceedings in Mathematics & Statistics ISBN: 9783319914350
Popis: Building on previous research which generalized multilevel Monte Carlo methods using either sparse grids or Quasi-Monte Carlo methods, this paper considers the combination of all these ideas applied to elliptic PDEs with finite-dimensional uncertainty in the coefficients. It shows the potential for the computational cost to achieve an \(O(\varepsilon )\) r.m.s. accuracy to be \(O(\varepsilon ^{-r})\) with \(r\!
Databáze: OpenAIRE