1@article{jorba2005,
2  title     = {{A software package for the numerical integration of ODEs by means of high-order Taylor methods}},
3  author    = {Jorba, {\`A}ngel and Zou, Maorong},
4  journal   = {Experimental Mathematics},
5  volume    = {14},
6  number    = {1},
7  pages     = {99--117},
8  year      = {2005},
9  publisher = {Taylor \& Francis}
10}
11
12@article{barrio2005performance,
13  title     = {{Performance of the Taylor series method for ODEs/DAEs}},
14  author    = {Barrio, Roberto},
15  journal   = {Applied Mathematics and Computation},
16  volume    = {163},
17  number    = {2},
18  pages     = {525--545},
19  year      = {2005},
20  publisher = {Elsevier}
21}
22
23@article{abad2015automatic,
24  title     = {{Automatic implementation of the numerical Taylor series method: a Mathematica and Sage approach}},
25  author    = {Abad, Alberto and Barrio, Roberto and Marco-Buzunariz, Miguel and Rodr{\'\i}guez, Marcos},
26  journal   = {Applied Mathematics and Computation},
27  volume    = {268},
28  pages     = {227--245},
29  year      = {2015},
30  publisher = {Elsevier}
31}
32
33@article{haro2008automatic,
34  title   = {{Automatic differentiation tools in computational dynamical systems}},
35  author  = {Haro, Alex},
36  journal = {Univ. of Barcelona Preprint},
37  year    = {2008}
38}
39
40@article{Benet2019,
41  doi       = {10.21105/joss.01043},
42  url       = {https://doi.org/10.21105/joss.01043},
43  year      = {2019},
44  publisher = {The Open Journal},
45  volume    = {4},
46  number    = {36},
47  pages     = {1043},
48  author    = {Luis Benet and David P. Sanders},
49  title     = {{TaylorSeries.jl: Taylor expansions in one and several variables in Julia}},
50  journal   = {Journal of Open Source Software}
51}
52
53@article{hubbard1999forced,
54  title     = {The forced damped pendulum: chaos, complication and control},
55  author    = {Hubbard, John H.},
56  journal   = {The American Mathematical Monthly},
57  volume    = {106},
58  number    = {8},
59  pages     = {741--758},
60  year      = {1999},
61  publisher = {Taylor \& Francis}
62}
63
64@article{rodriguez2012reducing,
65  title     = {{Reducing rounding errors and achieving Brouwer's law with Taylor Series Method}},
66  author    = {Rodr{\'\i}guez, Marcos and Barrio, Roberto},
67  journal   = {Applied Numerical Mathematics},
68  volume    = {62},
69  number    = {8},
70  pages     = {1014--1024},
71  year      = {2012},
72  publisher = {Elsevier}
73}
74
75@inproceedings{collins1976polynomial,
76  title     = {{Polynomial real root isolation using Descartes' rule of signs}},
77  author    = {Collins, George E. and Akritas, Alkiviadis G.},
78  booktitle = {Proceedings of the third ACM symposium on Symbolic and algebraic computation},
79  pages     = {272--275},
80  year      = {1976}
81}
82