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GR: Fachverband Gravitation und Relativitätstheorie

GR 202: Numerische Simulationen

GR 202.4: Talk

Tuesday, March 6, 2007, 14:45–15:00, KIP Kl. HS

Discrete action functionals and symplectic integrators — •Ralf Peter and Jörg Frauendiener — Universität Tübingen, Abteilung Theoretische Astrophysik, Auf der Morgenstelle 10, 72076 Tübingen

We present our results for discrete action functionals (analogous to [1]) and for the symplectic time integrator Rattle [2], applied to relativistic field theories with constraints. As test objects, we use in both cases a 1+1-dimensional wave map.

[1] Stephen L. Adler, Tsvi Piran: Relaxation methods for gauge field equilibrium equations, Rev. Mod. Phys. 56, 1–40 (1984)

[2] Hans C. Andersen: Rattle: A “Velocity” Version of the Shake Algorithm for Molecular Dynamics Calculations, J. Comp. Phys. 52, 24–34 (1983)