Hybrid-Cubic-Rational Semi-Lagrangian Method with the Optimal Mixing
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2001
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| _version_ | 1866912655255535616 |
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| author | Ida, Masato |
| author_facet | Ida, Masato |
| contents | A semi-Lagrangian method for advection equation with hybrid cubic-rational interpolation is introduced. In the present method, the spatial profile of physical quantities is interpolated with a combination of a cubic and a rational function. For achieving both high accuracy and convexity preserving of solution, the two functions are mixed in the optimal ratio which is given theoretically. Accuracy and validity of this method is demonstrated with some numerical experiments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0107025 |
| institution | arXiv |
| publishDate | 2001 |
| record_format | arxiv |
| spellingShingle | Hybrid-Cubic-Rational Semi-Lagrangian Method with the Optimal Mixing Ida, Masato Numerical Analysis Atmospheric and Oceanic Physics Computational Physics 65M06; 65M12 A semi-Lagrangian method for advection equation with hybrid cubic-rational interpolation is introduced. In the present method, the spatial profile of physical quantities is interpolated with a combination of a cubic and a rational function. For achieving both high accuracy and convexity preserving of solution, the two functions are mixed in the optimal ratio which is given theoretically. Accuracy and validity of this method is demonstrated with some numerical experiments. |
| title | Hybrid-Cubic-Rational Semi-Lagrangian Method with the Optimal Mixing |
| topic | Numerical Analysis Atmospheric and Oceanic Physics Computational Physics 65M06; 65M12 |
| url | https://arxiv.org/abs/math/0107025 |