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Evolution Methods

Evolution Methods. Ed Seidel Albert Einstein Institute eseidel@aei-potsdam.mpg.de. Second Order. First Order Hyperbolic. BM: hyperbolic! Bona, Massó 92, variations 95 Open door to CFD methods. ADM: The Workhorse for many years. Balance laws. Momentum Constraints. SN: Conformal

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Evolution Methods

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  1. Evolution Methods Ed Seidel Albert Einstein Institute eseidel@aei-potsdam.mpg.de

  2. Second Order First Order Hyperbolic BM: hyperbolic! Bona, Massó 92, variations 95Open door to CFD methods ADM: The Workhorse for many years... Balance laws Momentum Constraints SN: Conformal Shibata, Nakamura 95 Choquet-Bruhat, York, etc…(Not extensively tested in 3D NR) BS: stability Baumgarte, Shapiro 98 Essentially Unstable Essentially Stable!! ADMCNonlinear stability Alcubierre, Brügman, AEI 98 ABMRobustness Arbona, Bona, Massó, Stela 98 Conf-hyp Alcubierre, Bruegmann, Miller, Suen 98 neoBMHyperbolic Robustness Arbona, Bona, Massó 99 New Formulations: Towards a Stable Evolution System

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