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Splitting methods for SPDEs: from robustness to financial engineering, optimal control and nonlinear filtering

Abstract:
In this survey chapter we give an overview of recent applications of the splitting method to stochastic (partial) differential equations, that is, differential equations that evolve under the influence of noise. We discuss weak and strong approximations schemes. The applications range from the management of risk, financial engineering, optimal control and nonlinear filtering to the viscosity theory of nonlinear SPDEs.
Publication status:
Published
Peer review status:
Reviewed (other)

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Publisher copy:
10.1007/978-3-319-41589-5

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
St Hugh's College
Role:
Author
ORCID:
0000-0003-2644-8906

Contributors

Role:
Editor
Role:
Editor
Role:
Editor


Publisher:
Springer
Journal:
Splitting Methods in Communication, Imaging, Science, and Engineering More from this journal
Series:
Scientific Computation
Publication date:
2016-01-06
DOI:
EISSN:
2198-2589
ISSN:
1434-8322
ISBN:
9783319415871


Keywords:
Pubs id:
pubs:844958
UUID:
uuid:082f7df9-e22a-46ff-8af8-e42f0de90986
Local pid:
pubs:844958
Source identifiers:
844958
Deposit date:
2018-05-01
ARK identifier:

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