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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2411.16388 |
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| _version_ | 1866917847794450432 |
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| author | Nguyen, Thi Hoai Thuong Boutin, Benjamin |
| author_facet | Nguyen, Thi Hoai Thuong Boutin, Benjamin |
| contents | This paper investigates the stability of both the semi-discrete and the implicit central scheme for the linear damped wave equation on the half-line, where the spatial boundary is characteristic for the limiting equation. The proposed schemes incorporate a discrete boundary condition designed to guarantee the uniform stability of the IBVP, regardless of the stiffness of the source term or the spatial step size. Stability estimates for the semi-discrete scheme are established using the summation-by-parts (SBP) and simultaneous-approximation-term (SAT) penalty techniques, building on the continuous framework analyzed by Xin and Xu (2000). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_16388 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A stiffly stable semi-discrete scheme for the damped wave equation on the half-line using SBP and SAT techniques Nguyen, Thi Hoai Thuong Boutin, Benjamin Numerical Analysis This paper investigates the stability of both the semi-discrete and the implicit central scheme for the linear damped wave equation on the half-line, where the spatial boundary is characteristic for the limiting equation. The proposed schemes incorporate a discrete boundary condition designed to guarantee the uniform stability of the IBVP, regardless of the stiffness of the source term or the spatial step size. Stability estimates for the semi-discrete scheme are established using the summation-by-parts (SBP) and simultaneous-approximation-term (SAT) penalty techniques, building on the continuous framework analyzed by Xin and Xu (2000). |
| title | A stiffly stable semi-discrete scheme for the damped wave equation on the half-line using SBP and SAT techniques |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2411.16388 |