Random bit multilevel algorithms for stochastic differential equations

Author:

Giles Michael B.,Hefter Mario,Mayer Lukas,Ritter Klaus

Funder

UK Engineering and Physical Science Research Council

Deutsche Forschungsgemeinschaft (DFG), Germany

Publisher

Elsevier BV

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,General Mathematics

Reference22 articles.

1. Optimal convergence bounds for quadrature processes and integration methods of Monte Carlo type for classes of functions;Bakhvalov;Zh. Vychisl. Mat. Mat. Fiz.,1964

2. Multilevel path simulation for weak approximation schemes with application to Lévy-driven SDEs;Belomestny;Bernoulli,2017

3. The asymptotics of purely atomic one-dimensional Levy approximations;Berger,2018

4. Best finite approximations of Benford’s law;Berger;J. Theoret. Probab.,2018

5. Mixed precision multilevel Monte Carlo on hybrid computing systems;Brugger,2014

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2. Approximating Inverse Cumulative Distribution Functions to Produce Approximate Random Variables;ACM Transactions on Mathematical Software;2023-09-19

3. Analysis of Nested Multilevel Monte Carlo Using Approximate Normal Random Variables;SIAM/ASA Journal on Uncertainty Quantification;2022-02-08

4. Lower Bounds for the Number of Random Bits in Monte Carlo Algorithms;Springer Proceedings in Mathematics & Statistics;2022

5. On the Power of Restricted Monte Carlo Algorithms;2018 MATRIX Annals;2020

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