On the stability of dual scattering channel schemes
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2004
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| _version_ | 1866915560295497728 |
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| author | Hein, Steffen |
| author_facet | Hein, Steffen |
| contents | Dual scattering channel (DSC) schemes generalize Johns' TLM algorithm in replacing transmission lines with abstract scattering channels in terms of paired distributions. A well known merit of TLM schemes is unconditional stability, a property that is commonly drawn upon the passivity of linear transmission line networks. So the question arises, if DSC algorithms remain stable in a neat sense. It is shown that a large class of alpha-passive processes are in fact unconditionally stable. The analysis applies to TLM and DSC schemes alike and includes non-linear situations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0405095 |
| institution | arXiv |
| publishDate | 2004 |
| record_format | arxiv |
| spellingShingle | On the stability of dual scattering channel schemes Hein, Steffen Numerical Analysis 65L20,65M12 Dual scattering channel (DSC) schemes generalize Johns' TLM algorithm in replacing transmission lines with abstract scattering channels in terms of paired distributions. A well known merit of TLM schemes is unconditional stability, a property that is commonly drawn upon the passivity of linear transmission line networks. So the question arises, if DSC algorithms remain stable in a neat sense. It is shown that a large class of alpha-passive processes are in fact unconditionally stable. The analysis applies to TLM and DSC schemes alike and includes non-linear situations. |
| title | On the stability of dual scattering channel schemes |
| topic | Numerical Analysis 65L20,65M12 |
| url | https://arxiv.org/abs/math/0405095 |