BibTeX
@ARTICLE{
Wagner2010Ote,
title = "On the efficient computation of highorder derivatives for implicitly defined
functions",
author = "M. Wagner, B.J. Schaefer, and A. Walther",
year = "2010",
journal = "Computer Physics Communications",
volume = "181",
pages = "756764",
abstract = "Scientific studies often require the precise calculation of derivatives. In many
cases an analytical calculation is not feasible and one resorts to evaluating derivatives
numerically. These are errorprone, especially for higherorder derivatives. A technique based on
algorithmic differentiation is presented which allows for a precise calculation of higherorder
derivatives. The method can be widely applied even for the case of only numerically known, implicit
dependencies which totally hamper a semianalytical calculation of the derivatives. As a
demonstration the method is applied to a quantum field theoretical physical model. The results are
compared with standard numerical derivative methods.",
ad_area = "Physics",
ad_tools = "ADOLC",
ad_theotech = "Higher Order"
}
