New version announcement for TaylUR, an arbitrary-order diagonal automatic differentiation package for Fortran 95 Original Research Article

We present a new version of TaylUR, a Fortran 95 module to automatically compute the numerical values of a complex-valued functionʹs derivatives with respect to several variables up to an arbitrary order in each variable, but excluding mixed derivatives. The new version fixes a potentially serious bug in the code for exponential-related functions that could corrupt the imaginary parts of derivatives, as well as being compatible with a wider range of compilers.