Jena 2013 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 10: Numerische Relativitätstheorie II

GR 10.6: Talk

Wednesday, February 27, 2013, 17:45–18:00, HS 6

Numerical long-term integration of compact binary systems — •Jonathan Seyrich — Numerical Analysis Group, Universitaet Tuebingen, Auf der Morgenstelle 10, 72076 Tuebingen

The two most common descriptions of relativistic binary systems - the Geodesic approximation and the post-Newtonian approach- give rise to equations of motion which have to be integrated numerically. In the investigation for chaos, integrations over very long time ranges are necessary. For this purpose, highly accurate and efficient numerical integration schemes are presented. The best integrators will turn out to be based on Gauss collocation methods.