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- W1996792925 abstract "view Abstract Citations (174) References (11) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Optimal Order and Time-Step Criterion for Aarseth-Type N-Body Integrators Makino, Junichiro Abstract How the selection of the time-step criterion and the order of the integrator change the efficiency of Aarseth-type N-body integrators is discussed. An alternative to Aarseth's scheme based on the direct calculation of the time derivative of the force using the Hermite interpolation is compared to Aarseth's scheme, which uses the Newton interpolation to construct the predictor and corrector. How the number of particles in the system changes the behavior of integrators is examined. The Hermite scheme allows a time step twice as large as that for the standard Aarseth scheme for the same accuracy. The calculation cost of the Hermite scheme per time step is roughly twice as much as that of the standard Aarseth scheme. The optimal order of the integrators depends on both the particle number and the accuracy required. The time-step criterion of the standard Aarseth scheme is found to be inapplicable to higher-order integrators, and a more uniformly reliable criterion is proposed. Publication: The Astrophysical Journal Pub Date: March 1991 DOI: 10.1086/169751 Bibcode: 1991ApJ...369..200M Keywords: Fokker-Planck Equation; Hermitian Polynomial; Many Body Problem; Numerical Integration; Runge-Kutta Method; Chaos; Energy Conservation; Statistical Analysis; NUMERICAL ANALYSIS; NUMERICAL METHODS full text sources ADS |" @default.
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- W1996792925 title "Optimal order and time-step criterion for Aarseth-type N-body integrators" @default.
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