Exponential Euler method for stiff SDEs driven by fractional Brownian motion
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910512792469504 |
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| author | Chen, Haozhe Shen, Zhaotong Yu, Qian |
| author_facet | Chen, Haozhe Shen, Zhaotong Yu, Qian |
| contents | In a recent paper by Kamrani et al. (2024), exponential Euler method for stiff stochastic differential equations with additive fractional Brownian noise was discussed, and the convergence order close to the Hurst parameter H was proved. Utilizing the technique of Malliavin derivative, we prove the exponential Euler scheme and obtain a convergence order of one, which is the optimal rate in numerical simulation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_03546 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exponential Euler method for stiff SDEs driven by fractional Brownian motion Chen, Haozhe Shen, Zhaotong Yu, Qian Probability In a recent paper by Kamrani et al. (2024), exponential Euler method for stiff stochastic differential equations with additive fractional Brownian noise was discussed, and the convergence order close to the Hurst parameter H was proved. Utilizing the technique of Malliavin derivative, we prove the exponential Euler scheme and obtain a convergence order of one, which is the optimal rate in numerical simulation. |
| title | Exponential Euler method for stiff SDEs driven by fractional Brownian motion |
| topic | Probability |
| url | https://arxiv.org/abs/2407.03546 |