On a Hermite integrator with Ahmad-Cohen scheme for gravitational many-body problems

Statistics – Computation

Scientific paper

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Computational Astrophysics, Gravitational Effects, Many Body Problem, Numerical Integration, Accuracy, Computer Programs, Parallel Computers

Scientific paper

HACS, a fourth-order Hermite integrator with the Ahmad-Cohen scheme is implemented. HACS is self-starting, so its implementation is considerably simpler than the original ACS. Compared to ACS, HACS allows time steps twice as long for the same accuracy and the increase in calculation cost per timestep is not very large. The actual gain in speed depends on the hardware and ranges between a factor of one and two. The gain using ACS would be significantly smaller on vector or parallel machines.

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