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[Licence| Download | New Version Template] afag_v1_0.tar.gz(101 Kbytes)
Manuscript Title: Optimized higher-order automatic differentiation for the Faddeeva function
Authors: Isabelle Charpentier
Program title: HOAD_MathFun
Catalogue identifier: AFAG_v1_0
Distribution format: tar.gz
Journal reference: Comput. Phys. Commun. 205(2016)132
Programming language: Fortran 90.
Computer: Non-specific.
Operating system: Non-specific.
RAM: 1 megabyte
Keywords: Higher-order automatic differentiation, Mathematical functions.
Classification: 4.12.

External routines: Algorithm 680 [8], Mathematical functions (included)

Nature of problem:
General optimized higher-order automatic differentiation of mathematical functions. Complex refractive index as a case study.

Solution method:
Higher-order differentiation for the general second order ordi- nary equation defining the mathematical functions. Optimized operator overloading recurrence formula.

Unusual features:
Automatic differentiation, Quadratic complexity.

Running time:
1 second