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Recycling Samples in the Multigrid Multilevel (Quasi-)Monte Carlo Method
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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 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
  • 2015Unbiased Estimation with Square Root Convergence for SDE Models196 cited
  • 2011Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications160 cited
  • 2016A Multilevel Monte Carlo Method for Computing Failure Probabilities46 cited
  • 2011Adaptive Multilevel Monte Carlo Simulation39 cited
  • 2017Scheduling Massively Parallel Multigrid for Multilevel Monte Carlo Methods37 cited
  • 2016An Adaptive Multilevel Monte Carlo Method with Stochastic Bounds for Quantities of Interest with Uncertain Data31 cited

Cited by

  • 2021A stochastic collocation method based on sparse grids for a stochastic Stokes-Darcy model13 cited

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