pbrod/numdifftools

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docs/appendix/refs1.bib

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@misc{Perktold2014,
   author={J.Perktold},
   year={2014},
   title={numdiff package},
   howpublished={http://statsmodels.sourceforge.net/0.6.0/_modules/statsmodels/tools/numdiff.html}
}

@misc{Verheyleweghen2014,
   author={Adriaen Verheyleweghen},
   year={2014},
   title={Computation of higher-order derivatives using the multi-complex step method},
   howpublished={Project report, NTNU, Trondheim, Norway}
}

@article{LantoineEtal2012,
   author={Gregory Lantoine, R.P. Russell and T. Dargent },
   year={2012},
   title={Using multicomplex variables for automatic computation of high-order derivatives},
   journal={ACM Transactions on Mathematical Software},
   volume=38,
   number=3,
}


@article{Luna-ElizarrarasEtal2012,
   author={M.E. Luna-Elizarraras, M. Shapiro, D.C. Struppa and A. Vajiac},
   year={2012},
   title={Bicomplex Numbers and Their Elementary Functions},
   journal={CUBO A Mathematical Journal},
   volume=14,
   number=2,
   pages={61-68}
}

@phdthesis{Lantoine2010,
   author={Gregory Lantoine },
   year={2010},
   title={A methodology for robust optimization of low-thrust trajectories in multi-body environments},
   school={Georgia Institute of Technology},
}

@article{Ridout2009,
   author={M.S. Ridout},
   year={2009},
   title={Statistical applications of the complex-step method of numerical differentiation},
   journal={The American Statistician},
   volume=63,
   pages={66-74}
}


@misc{DErrico2006,
   author={J. R.  D'Errico},
   year={2006},
   title={Adaptive Robust Numerical Differentiation},
   howpublished={http://www.mathworks.com/matlabcentral/fileexchange/13490-adaptive-robust-numerical-differentiation}
}
@misc{LaiCrassidisCheng2005,
   author={K.-L. Lai, J.L. Crassidis, Y. Cheng and J. Kim },
   year={2005},
   title={New complex step derivative approximations with application to second-order kalman filtering},
   howpublished={AIAA Guidance, Navigation and Control Conference,
    San Francisco, California, August 2005, AIAA-2005-5944}
}

@article{Fornberg1998,
   author={B. Fornberg },
   year={1998},
   title={Calculation of weights_and_points in finite difference formulas},
   journal={SIAM Review},
   volume=40,
   pages={685-691}
}

@article{Fornberg1981,
   author={B. Fornberg },
   year={1981},
   title={Numerical Differentiation of Analytic Functions},
   journal={ACM Transactions on Mathematical Software (TOMS)},
   volume=7,
   number=4,
   pages={512-526}
}

@article{LynessMoler1969,
   author={J. M. Lyness, C. B. Moler },
   year={1969},
   title={Generalized Romberg Methods for Integrals of Derivatives},
   journal={Numerische Mathematik},
   volume=14,
   pages={1-14}
}

@article{LynessMoler1966,
   author={J. M. Lyness, C. B. Moler },
   year={1966},
   title={Vandermonde Systems and Numerical Differentiation},
   journal={Numerische Mathematik},
   volume=8,
   pages={458-464}
}

@misc{NAG,
   author={Numerical Algorithms Group},
   year={2018},
   title={NAG Fortran Library Document: D04AAF},
   howpublished={https://www.nag.com/numeric/fl/nagdoc_latest/html/d04/d04aaf.html}
}