An adaptive-time-step explicit symplectic integrator is constructed by combining the Preto-Saha step-size control with time-transformed split Hamiltonians, and it improves energy conservation over the nonadaptive version in tests around three black hole spacetimes.
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Explicit symplectic integrators with adaptive time steps in curved spacetimes
An adaptive-time-step explicit symplectic integrator is constructed by combining the Preto-Saha step-size control with time-transformed split Hamiltonians, and it improves energy conservation over the nonadaptive version in tests around three black hole spacetimes.