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Numerical long-term integration of geodesic equations of motion

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SummaryReferences IHairer, E., Lubich, C., and Wanner, G. (2006).Geometric <strong>Numerical</strong> Integration: Structure-Preserving Algorithms forOrdinary Differential Equations (2 ed.).Springer Verlag, Berlin.Hairer, E. and Söderlind, G. (2005).Explicit, Time Reversible, Adaptive Step Size control.SIAM Journal on Scientific Computing.Seyrich, J. and Lukes-Gerakopoulos, G. (2012).Symmetric integrator for nonintegrable hamiltonian relativistic systems.Phys. Rev. D, 86:124013.St<strong>of</strong>fer, D. (1988).On reversible and canonical <strong>integration</strong> methods.SAM-Report ETH Zürich.25/26 | Jonathan Seyrich (<strong>Numerical</strong> <strong>long</strong>-<strong>term</strong> <strong>integration</strong>) Tübingen | January 21, 2013

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