Improving the accuracy of the AVF method

• Autores: Jan L. Cieslinski
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 259, Nº 1, 2014, págs. 233-243
• Idioma: inglés
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• Resumen

  • The average vector field (AVF) method is a B-series scheme of the second order. As a discrete gradient method, it preserves exactly the energy integral for any canonical Hamiltonian system. We present and discuss two locally exact and energy-preserving modifications of the AVF method: AVF�LEX (of the third order) and AVF�SLEX (of the fourth order).

    Applications to spherically symmetric potentials are given, including a compact explicit expression for the AVF scheme for the Coulomb�Kepler problem.