This is a Summer internship project I worked on with the help of Professor Capps.

The goal was to create a Fortran implementation of Hyperdual numbers based on the C++ implementation by Jeffrey Fike and Juan J Alonso

Hyperdual Numbers

-used for calculating derivatives without subtractive-cancellation and truncation error

-can produce exact derivatives without the need of searching for an optimal step size

-can be applied to Computational Fluid Dynamics(CFD)

https://adl.stanford.edu/hyperdual/Fike_AIAA-2011-886.pdf - Incase you want to learn more about hyperdual numbers, this is a very detailed paper on its development.