207 citations · 416 across the 27 of their papers we have counts for
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math.NA2018
Random Bit Multilevel Algorithms for Stochastic Differential Equations
Michael B. Giles, Mario Hefter, Lukas Mayer +1
We study the approximation of expectations $\E(f(X))$ for solutions of SDEs and functionals by means of restricted Monte Carlo algorithms that m…
math.NA2018★ 34 cited
Efficient white noise sampling and coupling for multilevel Monte Carlo with non-nested meshes
Matteo Croci, Michael B. Giles, Marie E. Rognes +1
When solving stochastic partial differential equations (SPDEs) driven by additive spatial white noise, the efficient sampling of white noise realizations can be challenging. Here,…