Accurate numerical potential and field in razor-thin axisymmetric discs

Details Accurate numerical potential and field in razor-thin axisymmetric discs Accurate numerical potential and field in razor-thin axisymmetric discs

2005-01-11

arxiv.org/abs/astro-ph/0501185v1

Astrophys.J. 624 (2005) 289-294

Astronomy and Astrophysics

Astrophysics

11 pages, 5 color figures, 2 tables

Scientific paper

10.1086/428769

We demonstrate the high accuracy of the density splitting method to compute the gravitational potential and field in the plane of razor-thin, axially symmetric discs, as preliminarily outlined in Pierens & Hure (2004). Because residual kernels in Poisson integrals are not C^infinity-class functions, we use a dynamical space mapping in order to increase the efficiency of advanced quadrature schemes. In terms of accuracy, results are better by orders of magnitude than for the classical FFT-methods.

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