Efficient algorithm for the oscillatory matrix functions
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916281570033664 |
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| author | Li, Dongping Wang, Xue Zhang, Xiuying |
| author_facet | Li, Dongping Wang, Xue Zhang, Xiuying |
| contents | This paper introduces an efficient algorithm for computing the general oscillatory matrix functions. These computations are crucial for solving second-order semi-linear initial value problems. The method is exploited using the scaling and restoring technique based on a quadruple angle formula in conjunction with a truncated Taylor series. The choice of the scaling parameter and the degree of the Taylor polynomial relies on a forward error analysis. Numerical experiments show that the new algorithm behaves in a stable fashion and performs well in both accuracy and efficiency. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_06008 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Efficient algorithm for the oscillatory matrix functions Li, Dongping Wang, Xue Zhang, Xiuying Numerical Analysis 65F30, 65F60 G.1.3 This paper introduces an efficient algorithm for computing the general oscillatory matrix functions. These computations are crucial for solving second-order semi-linear initial value problems. The method is exploited using the scaling and restoring technique based on a quadruple angle formula in conjunction with a truncated Taylor series. The choice of the scaling parameter and the degree of the Taylor polynomial relies on a forward error analysis. Numerical experiments show that the new algorithm behaves in a stable fashion and performs well in both accuracy and efficiency. |
| title | Efficient algorithm for the oscillatory matrix functions |
| topic | Numerical Analysis 65F30, 65F60 G.1.3 |
| url | https://arxiv.org/abs/2406.06008 |