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Non-nested adaptive timesteps in multilevel Monte Carlo computations

Abstract:
This paper shows that it is relatively easy to incorporate adaptive timesteps into multilevel Monte Carlo simulations without violating the telescoping sum on which multilevel Monte Carlo is based. The numerical approach is presented for both SDEs and continuous-time Markov processes. Numerical experiments are given for each, with the full code available for those who are interested in seeing the implementation details.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/978-3-319-33507-0_14

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0002-5445-3721
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author


Publisher:
Springer International Publishing
Host title:
Monte Carlo and Quasi-Monte Carlo Methods: MCQMC, Leuven, Belgium, April 2014
Pages:
303–314
Series:
Springer Proceedings in Mathematics and Statistics
Series number:
163
Publication date:
2016-06-14
Event title:
Eleventh International Conference on Monte Carlo and Quasi-Monte Carlo Methods (MCQMC)
Event location:
Leuven, Belgium
Event start date:
2014-04-06
Event end date:
2014-04-11
DOI:
EISSN:
2194-1017
ISSN:
2194-1009
EISBN:
978-3-319-33507-0
ISBN:
978-3-319-33505-6


Language:
English
Pubs id:
pubs:622840
UUID:
uuid:8842473b-dc76-40b3-a670-3f29e389b89b
Local pid:
pubs:622840
Source identifiers:
622840
Deposit date:
2016-05-17

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