Journal article 278 views
Estimate of transition kernel for Euler-Maruyama scheme for SDEs driven by alpha-stable noise and applications
Numerical Algorithms
Swansea University Author:
Chenggui Yuan
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DOI (Published version): 10.1007/s11075-023-01539-4
Abstract
In this paper, the discrete parametrix method is adopted to investigate the estimation of transition kernel for Euler-Maruyama scheme SDEs driven by α-stable noise, which implies Krylov’s estimate and Khasminskii’s estimate. As an application, the convergence rate of Euler-Maruyama scheme for a clas...
Published in: | Numerical Algorithms |
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ISSN: | 1017-1398 1572-9265 |
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Springer Science and Business Media LLC
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URI: | https://cronfa.swan.ac.uk/Record/cronfa63548 |
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v2 63548 2023-05-30 Estimate of transition kernel for Euler-Maruyama scheme for SDEs driven by alpha-stable noise and applications 22b571d1cba717a58e526805bd9abea0 0000-0003-0486-5450 Chenggui Yuan Chenggui Yuan true false 2023-05-30 SMA In this paper, the discrete parametrix method is adopted to investigate the estimation of transition kernel for Euler-Maruyama scheme SDEs driven by α-stable noise, which implies Krylov’s estimate and Khasminskii’s estimate. As an application, the convergence rate of Euler-Maruyama scheme for a class of multidimensional SDEs with singular drift (by the use of Zvonkin’s transformation) is obtained. Journal Article Numerical Algorithms Springer Science and Business Media LLC 1017-1398 1572-9265 Zvonkin’s transformation, Euler-Maruyama scheme, Transition kernel, Krylov’s estimate 0 0 0 0001-01-01 10.1007/s11075-023-01539-4 http://dx.doi.org/10.1007/s11075-023-01539-4 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2023-09-21T15:31:45.9922417 2023-05-30T10:12:58.1726916 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Xing Huang 1 Yongqiang Suo 2 Chenggui Yuan 0000-0003-0486-5450 3 Under embargo Under embargo 2023-05-30T14:27:24.6673729 Output 370928 application/pdf Accepted Manuscript true 2024-05-13T00:00:00.0000000 false eng |
title |
Estimate of transition kernel for Euler-Maruyama scheme for SDEs driven by alpha-stable noise and applications |
spellingShingle |
Estimate of transition kernel for Euler-Maruyama scheme for SDEs driven by alpha-stable noise and applications Chenggui Yuan |
title_short |
Estimate of transition kernel for Euler-Maruyama scheme for SDEs driven by alpha-stable noise and applications |
title_full |
Estimate of transition kernel for Euler-Maruyama scheme for SDEs driven by alpha-stable noise and applications |
title_fullStr |
Estimate of transition kernel for Euler-Maruyama scheme for SDEs driven by alpha-stable noise and applications |
title_full_unstemmed |
Estimate of transition kernel for Euler-Maruyama scheme for SDEs driven by alpha-stable noise and applications |
title_sort |
Estimate of transition kernel for Euler-Maruyama scheme for SDEs driven by alpha-stable noise and applications |
author_id_str_mv |
22b571d1cba717a58e526805bd9abea0 |
author_id_fullname_str_mv |
22b571d1cba717a58e526805bd9abea0_***_Chenggui Yuan |
author |
Chenggui Yuan |
author2 |
Xing Huang Yongqiang Suo Chenggui Yuan |
format |
Journal article |
container_title |
Numerical Algorithms |
institution |
Swansea University |
issn |
1017-1398 1572-9265 |
doi_str_mv |
10.1007/s11075-023-01539-4 |
publisher |
Springer Science and Business Media LLC |
college_str |
Faculty of Science and Engineering |
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|
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
department_str |
School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics |
url |
http://dx.doi.org/10.1007/s11075-023-01539-4 |
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0 |
active_str |
0 |
description |
In this paper, the discrete parametrix method is adopted to investigate the estimation of transition kernel for Euler-Maruyama scheme SDEs driven by α-stable noise, which implies Krylov’s estimate and Khasminskii’s estimate. As an application, the convergence rate of Euler-Maruyama scheme for a class of multidimensional SDEs with singular drift (by the use of Zvonkin’s transformation) is obtained. |
published_date |
0001-01-01T15:31:44Z |
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1777657922543681536 |
score |
11.01753 |