[HTML][HTML] Random bit multilevel algorithms for stochastic differential equations

MB Giles, M Hefter, L Mayer, K Ritter - Journal of complexity, 2019 - Elsevier
We study the approximation of expectations E (f (X)) for solutions X of SDEs and functionals
f: C ([0, 1], R r)→ R by means of restricted Monte Carlo algorithms that may only use random …

Asymptotics of one-dimensional Lévy approximations

A Berger, C Xu - Journal of Theoretical Probability, 2020 - Springer
For arbitrary Borel probability measures on the real line, necessary and sufficient conditions
are presented that characterize best purely atomic approximations relative to the classical …

[HTML][HTML] Random Bits for Quadrature of SDEs

L Mayer - 2020 - kluedo.ub.rptu.de
In this thesis we study a variant of the quadrature problem for stochastic differential
equations (SDEs), namely the approximation of expectations\(\mathrm {E}(f (X))\) …