34,649 research outputs found
Palindromic 3-stage splitting integrators, a roadmap
The implementation of multi-stage splitting integrators is essentially the
same as the implementation of the familiar Strang/Verlet method. Therefore
multi-stage formulas may be easily incorporated into software that now uses the
Strang/Verlet integrator. We study in detail the two-parameter family of
palindromic, three-stage splitting formulas and identify choices of parameters
that may outperform the Strang/Verlet method. One of these choices leads to a
method of effective order four suitable to integrate in time some partial
differential equations. Other choices may be seen as perturbations of the
Strang method that increase efficiency in molecular dynamics simulations and in
Hybrid Monte Carlo sampling.Comment: 20 pages, 8 figures, 2 table
The Infrared-X-ray continuum correlation in Active Galactic Nuclei
The correlation between the soft X-ray and near infrared emission from AGN is
analysed using composite models by the code SUMA. We find new evidences for
differences in ranges of parameters which characterize the NLR of Seyfert
galaxies and LINERs. Results obtained by modelling the Einstein and the ROSAT
samples of galaxies are in full agreement. In order to fit the infrared and
X-ray continua, an eta factor is defined, which accounts for the emitting area
of the cloud. If the infrared emission is due to bremsstrahlung and comes from
the same cloud producing the soft X-rays, the eta values obtained from both
emissions must be the same. Therefore, if eta_IR < eta_soft-X there must be a
strong contribution of soft X-rays from the active centre. From the eta values
we expect to identify the objects that could present strong variability. \Comment: 11 pages,13 figures, in press in MNRAS. in press in MNRA
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