TaylUR 3, a multivariate arbitrary-order automatic differentiation package for Fortran 95

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)

Abstract
This new version of TaylUR is based on a completely new core, which now is able to compute the numerical values of all of a complex-valued function's partial derivatives up to an arbitrary order, including mixed partial derivatives.

Title of program: TaylUR
Catalogue Id: ADXR_v3_0

Nature of problem
Problems that require potentially high orders of partial derivatives with respect to several variables or derivatives of complex-valued functions, such as e.g. momentum or mass expansions of Feynman diagrams in perturbative QFT, and which previous versions of this TaylUR [1,2] cannot handle due to their lack of support for mixed partial derivatives.

Versions of this program held in the CPC repository in Mendeley Data
ADXR_v1_0; TaylUR; 10.1016/j.cpc.2005.12.016
ADXR_v2_0; TaylUR; 10.1016/j.cpc.2007.03.008
ADXR_v3_0; TaylUR; 10.1016/j.cpc.2009.10.025