Adaptive simplification of complex multiscale systems
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2010
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| _version_ | 1866908567229956096 |
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| author | Chiavazzo, Eliodoro Karlin, Ilya |
| author_facet | Chiavazzo, Eliodoro Karlin, Ilya |
| contents | A fully adaptive methodology is developed for reducing the complexity of large dissipative systems. This represents a significant step towards extracting essential physical knowledge from complex systems, by addressing the challenging problem of a minimal number of variables needed to exactly capture the system dynamics. Accurate reduced description is achieved, by construction of a hierarchy of slow invariant manifolds, with an embarrassingly simple implementation in any dimension. The method is validated with the auto-ignition of the hydrogen-air mixture where a reduction to a cascade of slow invariant manifolds is observed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1011_1618 |
| institution | arXiv |
| publishDate | 2010 |
| record_format | arxiv |
| spellingShingle | Adaptive simplification of complex multiscale systems Chiavazzo, Eliodoro Karlin, Ilya Statistical Mechanics Computational Physics A fully adaptive methodology is developed for reducing the complexity of large dissipative systems. This represents a significant step towards extracting essential physical knowledge from complex systems, by addressing the challenging problem of a minimal number of variables needed to exactly capture the system dynamics. Accurate reduced description is achieved, by construction of a hierarchy of slow invariant manifolds, with an embarrassingly simple implementation in any dimension. The method is validated with the auto-ignition of the hydrogen-air mixture where a reduction to a cascade of slow invariant manifolds is observed. |
| title | Adaptive simplification of complex multiscale systems |
| topic | Statistical Mechanics Computational Physics |
| url | https://arxiv.org/abs/1011.1618 |