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Scheduling Massively Parallel Multigrid for Multilevel Monte Carlo Methods
12 references·7 citing·29 second hop
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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2011An Explicit Link between Gaussian Fields and Gaussian Markov Random Fields: The Stochastic Partial Differential Equation Approach2,705 cited
  • 2008Multilevel Monte Carlo Path Simulation1,436 cited
  • 2011Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients490 cited
  • 2011Multi-level Monte Carlo Finite Element method for elliptic PDEs with stochastic coefficients296 cited
  • 2013Further analysis of multilevel Monte Carlo methods for elliptic PDEs with random coefficients196 cited
  • 2013Finite Element Error Analysis of Elliptic PDEs with Random Coefficients and Its Application to Multilevel Monte Carlo Methods187 cited
  • 2011Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications160 cited
  • 2014A continuation multilevel Monte Carlo algorithm121 cited
  • 2009Multilevel quasi-Monte Carlo path simulation92 cited
  • 2016A Multilevel Monte Carlo Method for Computing Failure Probabilities46 cited

Cited by

  • 2018Efficient White Noise Sampling and Coupling for Multilevel Monte Carlo with Nonnested Meshes33 cited
  • 2018A multigrid multilevel Monte Carlo method for transport in the Darcy–Stokes system

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28 cited
  • 2022A Multigrid Multilevel Monte Carlo Method for Stokes–Darcy Model with Random Hydraulic Conductivity and Beavers–Joseph Condition16 cited
  • 2019Recycling Samples in the Multigrid Multilevel (Quasi-)Monte Carlo Method14 cited
  • 2022Scalable hierarchical PDE sampler for generating spatially correlated random fields using nonmatching meshes: Scalable hierarchical PDE sampler using nonmatching meshes14 cited
  • 2021A stochastic collocation method based on sparse grids for a stochastic Stokes-Darcy model13 cited
  • 2021A Parallel Dynamic Asynchronous Framework for Uncertainty Quantification by Hierarchical Monte Carlo Algorithms9 cited