Variable step size does not harm second-order integrators for Hamiltonian systems (Letter)

• Autores: Daniel I. Okunbor
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Nº 2, 1993, pág. 273
• Idioma: inglés
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• Resumen

  • Experiments have shown that variable step size degrades some symplectic integrators for certain Hamiltonian systems, in particular for the two-body problem. In this paper, we show that the error growth in time for variable step size symplectic is not in general quadratic. We demonstrate this by applying several integrators to the two-body problem. The error growth in time in the case of the second-order integrators, symplectic or nonsymplectic, turns out to be approximately linear.