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Beschreibung
In order to further our understanding of the instabilities which develop in numerical relativity codes, I study vacuum solutions of the cosmological type (T^3 topology). Specifically, I focus on the 3+1 ADM formulation of Einsteins equations. This involves testing the numerical code using the following non-trivial periodic solutions, Kasner, Gowdy, Bondi and non-linear gauge waves. I look for constraint violating and gauge mode instabilities as well as numerical effects such as convergence, dissipation and dispersion. I will discuss techniques developed to investigate the stability properties of the numerical code.
UNDERSTANDING NUMERICAL INSTABILITIES THROUGH COMPUTATIONAL EXPERIMENTS
Details
| Verlag | LAP LAMBERT Academic Publishing |
| Ersterscheinung | 09. März 2011 |
| Maße | 22 cm x 15 cm x 0.9 cm |
| Gewicht | 209 Gramm |
| Format | Softcover |
| ISBN-13 | 9783844314458 |
| Seiten | 128 |
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