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arXiv · 1308.1596

Improving the accuracy of the AVF method

Jan L. Cieśliński
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Abstract

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.

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Jan L. Cieśliński. 2013-08-07. Improving the accuracy of the AVF method. https://arxiv.org/abs/1308.1596

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