Please cite this material in publications as:

Kostyrka AV (2026). pnd: Parallel Numerical Derivatives, Gradients, Jacobians, and Hessians of Arbitrary Accuracy Order. University of Luxembourg. R package version 0.1.2, https://CRAN.R-project.org/package=pnd.

Kostyrka AV (2025). “Fast and accurate parallel numerical derivatives in R.” Vignette for the R package pnd 0.1.2., https://github.com/Fifis/pnd/tree/main/vignettes.

Kostyrka AV (2025). “Step-size-selection algorithm benchmark.” Vignette for the R package pnd 0.1.2., https://github.com/Fifis/pnd/tree/main/vignettes.

Kostyrka AV (2025). “Compatilibility of pnd with the syntax of numDeriv.” Vignette for the R package pnd 0.1.2., https://github.com/Fifis/pnd/tree/main/vignettes.

Corresponding BibTeX entries:

  @Manual{,
    title = {pnd: Parallel Numerical Derivatives, Gradients,
      {J}acobians, and {H}essians of Arbitrary Accuracy Order},
    author = {Andreï Victorovitch Kostyrka},
    year = {2026},
    note = {R package version 0.1.2},
    organization = {University of Luxembourg},
    url = {https://CRAN.R-project.org/package=pnd},
  }

  @Misc{,
    title = {Fast and accurate parallel numerical derivatives in R},
    author = {Andreï Victorovitch Kostyrka},
    year = {2025},
    organization = {University of Luxembourg},
    note = {Vignette for the R package pnd 0.1.2.},
    url = {https://github.com/Fifis/pnd/tree/main/vignettes},
  }

  @Misc{,
    title = {Step-size-selection algorithm benchmark},
    author = {Andreï Victorovitch Kostyrka},
    year = {2025},
    organization = {University of Luxembourg},
    note = {Vignette for the R package pnd 0.1.2.},
    url = {https://github.com/Fifis/pnd/tree/main/vignettes},
  }

  @Misc{,
    title = {Compatilibility of pnd with the syntax of numDeriv},
    author = {Andreï Victorovitch Kostyrka},
    year = {2025},
    organization = {University of Luxembourg},
    note = {Vignette for the R package pnd 0.1.2.},
    url = {https://github.com/Fifis/pnd/tree/main/vignettes},
  }