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Truncated Euler-Maruyama method for classical and time-changed non-autonomous stochastic differential equations

Abstract:
The truncated Euler-Maruyama (EM) method is proposed to approximate a class of non-autonomous stochastic differential equations (SDEs) with the Hölder continuity in the temporal variable and the super-linear growth in the state variable. The strong convergence with the convergence rate is proved. Moreover, the strong convergence of the truncated EM method for a class of highly non-linear time-changed SDEs is studied.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.apnum.2020.02.007

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Elsevier
Journal:
Applied Numerical Mathematics More from this journal
Volume:
153
Pages:
66-81
Publication date:
2020-02-12
Acceptance date:
2020-02-09
DOI:
EISSN:
1873-5460
ISSN:
0168-9274

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