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chebfun.bib
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%% This BibTeX bibliography file was created using BibDesk.
%% http://bibdesk.sourceforge.net/
%% Created for Driscoll, Tobin A at 2017-11-13 15:45:12 -0500
%% Saved with string encoding Unicode (UTF-8)
@book{Trefethen2018eo,
Author = {Trefethen, L. N. and Birkisson, A. and Driscoll, T. A.},
Date-Added = {2017-11-13 20:43:43 +0000},
Date-Modified = {2017-11-13 20:43:43 +0000},
Publisher = {Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA},
Title = {Exploring ODEs},
Year = {2018}}
@article{Hale2016,
Author = {Hale, Nicholas and Townsend, Alex},
Date-Added = {2017-11-13 20:42:15 +0000},
Date-Modified = {2017-11-13 20:42:25 +0000},
Fjournal = {IMA Journal of Numerical Analysis},
Issn = {0272-4979},
Journal = {IMA J. Numer. Anal.},
Mrclass = {65R10 (33C45 41A60 44A15 65B10 65T50)},
Mrnumber = {3556400},
Mrreviewer = {Denis N. Sidorov},
Number = {4},
Pages = {1670--1684},
Title = {A fast {FFT}-based discrete {L}egendre transform},
Url = {https://doi.org/10.1093/imanum/drv060},
Volume = {36},
Year = {2016},
Bdsk-Url-1 = {http://mathscinet.ams.org/mathscinet-getitem?mr=3556400}}
@article{Trefethen2017mp,
Author = {Trefethen, Lloyd N.},
Date-Added = {2017-11-13 20:40:08 +0000},
Date-Modified = {2017-11-13 20:40:22 +0000},
Fjournal = {Proceedings of the American Mathematical Society},
Issn = {0002-9939},
Journal = {Proc. Amer. Math. Soc.},
Mrclass = {41A63 (41A10)},
Mrnumber = {3691999},
Number = {11},
Pages = {4837--4844},
Title = {Multivariate polynomial approximation in the hypercube},
Url = {https://doi.org/10.1090/proc/13623},
Volume = {145},
Year = {2017},
Bdsk-Url-1 = {http://mathscinet.ams.org/mathscinet-getitem?mr=3691999}}
@article{Trefethen2017ca,
Author = {Trefethen, Lloyd N.},
Date-Added = {2017-11-13 19:22:29 +0000},
Date-Modified = {2017-11-13 19:22:45 +0000},
Fjournal = {SIAM Review},
Issn = {0036-1445},
Journal = {SIAM Rev.},
Mrclass = {41A63 (65C05 65D30 65Y20)},
Mrnumber = {3683677},
Number = {3},
Pages = {469--491},
Title = {Cubature, approximation, and isotropy in the hypercube},
Url = {https://doi.org/10.1137/16M1066312},
Volume = {59},
Year = {2017},
Bdsk-Url-1 = {http://mathscinet.ams.org/mathscinet-getitem?mr=3683677}}
@article{Austin2016,
Author = {Austin, Anthony P. and Xu, Kuan},
Date-Added = {2017-11-13 19:20:17 +0000},
Date-Modified = {2017-11-13 19:21:22 +0000},
Fjournal = {IMA Journal of Numerical Analysis},
Issn = {0272-4979},
Journal = {IMA J. Numer. Anal.},
Mrclass = {65T40 (41A05)},
Mrnumber = {3671498},
Number = {3},
Pages = {1355--1374},
Title = {On the numerical stability of the second barycentric formula for trigonometric interpolation in shifted equispaced points},
Url = {https://doi.org/10.1093/imanum/drw038},
Volume = {37},
Year = {2016},
Bdsk-Url-1 = {http://mathscinet.ams.org/mathscinet-getitem?mr=3671498}}
@article{Xu2016,
Author = {Xu, Kuan},
Date-Added = {2017-11-13 19:19:37 +0000},
Date-Modified = {2017-11-13 19:19:51 +0000},
Fjournal = {Applied Numerical Mathematics. An IMACS Journal},
Issn = {0168-9274},
Journal = {Appl. Numer. Math.},
Mrclass = {41A05 (42C05 65D05)},
Mrnumber = {3456229},
Mrreviewer = {Alexander P. Goncharov},
Pages = {17--30},
Title = {The {C}hebyshev points of the first kind},
Url = {https://doi.org/10.1016/j.apnum.2015.12.002},
Volume = {102},
Year = {2016},
Bdsk-Url-1 = {http://mathscinet.ams.org/mathscinet-getitem?mr=3456229}}
@article{Driscoll2014od,
Author = {Driscoll, Tobin A. and Weideman, J. A. C.},
Date-Added = {2017-11-13 19:18:33 +0000},
Date-Modified = {2017-11-13 19:18:50 +0000},
Fjournal = {SIAM Journal on Numerical Analysis},
Issn = {0036-1429},
Journal = {SIAM J. Numer. Anal.},
Mrclass = {65D05 (41A05)},
Mrnumber = {3245872},
Mrreviewer = {Antonio L{\'o}pez-Carmona},
Number = {4},
Pages = {1913--1927},
Title = {Optimal domain splitting for interpolation by {C}hebyshev polynomials},
Url = {https://doi.org/10.1137/130919428},
Volume = {52},
Year = {2014},
Bdsk-Url-1 = {http://mathscinet.ams.org/mathscinet-getitem?mr=3245872}}
@article{Austin2014,
Author = {Austin, Anthony P and Kravanja, Peter and Trefethen, Lloyd N},
Date-Added = {2017-11-13 17:07:13 +0000},
Date-Modified = {2017-11-13 17:07:22 +0000},
Journal = {SIAM Journal on Numerical Analysis},
Number = {4},
Pages = {1795--1821},
Publisher = {SIAM},
Title = {Numerical algorithms based on analytic function values at roots of unity},
Volume = {52},
Year = {2014}}
@article{Gonnet2013,
Author = {Gonnet, Pedro and Guttel, Stefan and Trefethen, Lloyd N},
Date-Added = {2017-11-13 17:06:30 +0000},
Date-Modified = {2017-11-13 17:06:43 +0000},
Journal = {SIAM Review},
Number = {1},
Pages = {101--117},
Publisher = {SIAM},
Title = {Robust Pad{\'e} approximation via SVD},
Volume = {55},
Year = {2013}}
@article{Webb2012,
Author = {Webb, Marcus and Trefethen, Lloyd N and Gonnet, Pedro},
Date-Added = {2017-11-13 17:05:58 +0000},
Date-Modified = {2017-11-13 17:06:07 +0000},
Journal = {SIAM Journal on Scientific Computing},
Number = {6},
Pages = {A3009--A3015},
Publisher = {SIAM},
Title = {Stability of barycentric interpolation formulas for extrapolation},
Volume = {34},
Year = {2012}}
@article{Gonnet2011,
Author = {Gonnet, Pedro and Pach{\'o}n, Ricardo and Trefethen, Lloyd N},
Date-Added = {2017-11-13 17:05:30 +0000},
Date-Modified = {2017-11-13 17:05:39 +0000},
Journal = {Electronic Transactions on Numerical Analysis},
Pages = {146--167},
Publisher = {Institute of Computational Mathematics},
Title = {Robust rational interpolation and least-squares},
Volume = {38},
Year = {2011}}
@article{Platte2011,
Author = {Platte, Rodrigo B and Trefethen, Lloyd N and Kuijlaars, Arno BJ},
Date-Added = {2017-11-13 17:04:54 +0000},
Date-Modified = {2017-11-13 17:05:07 +0000},
Journal = {SIAM review},
Number = {2},
Pages = {308--318},
Publisher = {SIAM},
Title = {Impossibility of fast stable approximation of analytic functions from equispaced samples},
Volume = {53},
Year = {2011}}
@article{Richardson2011,
Author = {Richardson, Mark and Trefethen, Lloyd N},
Date-Added = {2017-11-13 17:03:51 +0000},
Date-Modified = {2017-11-13 17:04:04 +0000},
Journal = {SIAM Journal on Scientific Computing},
Number = {5},
Pages = {2519--2535},
Publisher = {SIAM},
Title = {A sinc function analogue of Chebfun},
Volume = {33},
Year = {2011}}
@article{Hashemi2017,
Author = {Hashemi, Behnam and Trefethen, Lloyd N},
Date-Added = {2017-11-13 17:02:26 +0000},
Date-Modified = {2017-11-13 17:02:36 +0000},
Journal = {SIAM Journal on Scientific Computing},
Number = {5},
Pages = {C341--C363},
Publisher = {SIAM},
Title = {Chebfun in three dimensions},
Volume = {39},
Year = {2017}}
@article{Montanelli2016ch,
Author = {Montanelli, Hadrien},
Date-Added = {2017-11-13 17:00:47 +0000},
Date-Modified = {2017-11-13 17:01:01 +0000},
Journal = {Regular and Chaotic Dynamics},
Number = {5},
Pages = {522--530},
Publisher = {Springer},
Title = {Computing hyperbolic choreographies},
Volume = {21},
Year = {2016}}
@article{Aurentz2017bo,
Author = {Aurentz, Jared L and Trefethen, Lloyd N},
Date-Added = {2017-11-13 16:59:56 +0000},
Date-Modified = {2017-11-13 17:00:21 +0000},
Journal = {SIAM Review},
Number = {2},
Pages = {423--446},
Publisher = {SIAM},
Title = {Block operators and spectral discretizations},
Volume = {59},
Year = {2017}}
@article{Montanelli2016,
Author = {Montanelli, Hadrien and Gushterov, Nikola I},
Date-Added = {2017-11-13 16:59:18 +0000},
Date-Modified = {2017-11-13 16:59:31 +0000},
Journal = {SIAM Journal on Applied Dynamical Systems},
Number = {1},
Pages = {235--256},
Publisher = {SIAM},
Title = {Computing planar and spherical choreographies},
Volume = {15},
Year = {2016}}
@article{Driscoll2015,
Author = {Driscoll, Tobin A and Hale, Nicholas},
Date-Added = {2017-11-13 16:58:48 +0000},
Date-Modified = {2017-11-13 16:59:02 +0000},
Journal = {IMA Journal of Numerical Analysis},
Number = {1},
Pages = {108--132},
Publisher = {Oxford University Press},
Title = {Rectangular spectral collocation},
Volume = {36},
Year = {2015}}
@article{Xu2015,
Author = {Xu, Kuan and Hale, Nicholas},
Date-Added = {2017-11-13 16:58:13 +0000},
Date-Modified = {2017-11-13 16:58:26 +0000},
Journal = {IMA Journal of Numerical Analysis},
Number = {2},
Pages = {618--632},
Publisher = {Oxford University Press},
Title = {Explicit construction of rectangular differentiation matrices},
Volume = {36},
Year = {2015}}
@article{Aurentz2017,
Author = {Aurentz, Jared L and Trefethen, Lloyd N},
Date-Added = {2017-11-13 16:55:45 +0000},
Date-Modified = {2017-11-13 16:55:56 +0000},
Journal = {ACM Transactions on Mathematical Software (TOMS)},
Number = {4},
Pages = {33},
Publisher = {ACM},
Title = {Chopping a Chebyshev series},
Volume = {43},
Year = {2017}}
@article{Wright2015,
Author = {Wright, Grady B and Javed, Mohsin and Montanelli, Hadrien and Trefethen, Lloyd N},
Date-Added = {2017-11-13 16:54:02 +0000},
Date-Modified = {2017-11-13 16:54:22 +0000},
Journal = {SIAM Journal on Scientific Computing},
Number = {5},
Pages = {C554--C573},
Publisher = {SIAM},
Title = {Extension of {C}hebfun to periodic functions},
Volume = {37},
Year = {2015}}
@article{Battles2004,
Author = {Battles, Zachary and Trefethen, Lloyd N},
Date-Added = {2017-11-13 16:53:23 +0000},
Date-Modified = {2017-11-13 16:54:57 +0000},
Journal = {SIAM Journal on Scientific Computing},
Number = {5},
Pages = {1743--1770},
Publisher = {SIAM},
Title = {An extension of {MATLAB} to continuous functions and operators},
Volume = {25},
Year = {2004}}
@article{Trefethen2007,
Author = {Trefethen, L. N.},
Doi = {10.1007/s11786-007-0001-y},
Journal = {Mathematics in Computer Science},
Number = {1},
Pages = {9--19},
Title = {{Computing numerically with functions instead of numbers}},
Url = {http://www.springerlink.com/index/10.1007/s11786-007-0001-y},
Volume = {1},
Year = {2007},
Bdsk-Url-1 = {http://www.springerlink.com/index/10.1007/s11786-007-0001-y},
Bdsk-Url-2 = {http://dx.doi.org/10.1007/s11786-007-0001-y}}
@article{Driscoll2008,
Author = {Driscoll, T. A. and Bornemann, F. and Trefethen, L. N.},
Doi = {10.1007/s10543-008-0198-4},
Journal = {BIT Numerical Mathematics},
Pages = {701--723},
Title = {{The chebop system for automatic solution of differential equations}},
Url = {http://www.springerlink.com/content/46471515240111m2/?p=864e78b520294229958456c91ab618fc\&pi=5},
Volume = {48},
Year = {2008},
Bdsk-Url-1 = {http://www.springerlink.com/content/46471515240111m2/?p=864e78b520294229958456c91ab618fc%5C&pi=5},
Bdsk-Url-2 = {http://dx.doi.org/10.1007/s10543-008-0198-4}}
@article{Pachon2009,
Author = {Pach\'{o}n, R. and Trefethen, L. N.},
Doi = {10.1007/s10543-009-0240-1},
Journal = {BIT Numerical Mathematics},
Number = {4},
Pages = {721--741},
Title = {{Barycentric-Remez algorithms for best polynomial approximation in the chebfun system}},
Url = {http://www.springerlink.com/index/10.1007/s10543-009-0240-1},
Volume = {49},
Year = {2009},
Bdsk-Url-1 = {http://www.springerlink.com/index/10.1007/s10543-009-0240-1},
Bdsk-Url-2 = {http://dx.doi.org/10.1007/s10543-009-0240-1}}
@article{Driscoll2010,
Author = {Driscoll, T. A.},
Doi = {10.1016/j.jcp.2010.04.029},
Journal = {Journal of Computational Physics},
Number = {17},
Pages = {5980--5998},
Title = {{Automatic spectral collocation for integral, integro-differential, and integrally reformulated differential equations}},
Url = {http://linkinghub.elsevier.com/retrieve/pii/S0021999110002056},
Volume = {229},
Year = {2010},
Bdsk-Url-1 = {http://linkinghub.elsevier.com/retrieve/pii/S0021999110002056},
Bdsk-Url-2 = {http://dx.doi.org/10.1016/j.jcp.2010.04.029}}
@article{Pachon2010,
Author = {Pach\'{o}n, R. and Platte, R. and Trefethen, L. N.},
Doi = {10.1093/imanum/drp008},
Journal = {IMA Journal of Numerical Analysis},
Number = {4},
Pages = {898--916},
Title = {{Piecewise-smooth Chebfuns}},
Url = {http://imajna.oxfordjournals.org/content/30/4/898},
Volume = {30},
Year = {2010},
Bdsk-Url-1 = {http://imajna.oxfordjournals.org/content/30/4/898},
Bdsk-Url-2 = {http://dx.doi.org/10.1093/imanum/drp008}}
@inproceedings{Platte2010,
Author = {Platte, R. B. and Trefethen, L. N.},
Booktitle = {Progress in Industrial Mathematics at ECMI 2008},
Doi = {10.1007/978-3-642-12110-4_5},
Editor = {{Fitt, A. D.; Norbury, J.; Ockendon, H.; Wilson, E.}},
Pages = {69--87},
Publisher = {Springer},
Title = {{Chebfun: A New Kind of Numerical Computing}},
Url = {http://link.springer.com/chapter/10.1007%2F978-3-642-12110-4_5},
Year = {2010},
Bdsk-Url-1 = {http://link.springer.com/chapter/10.1007%2F978-3-642-12110-4_5},
Bdsk-Url-2 = {http://dx.doi.org/10.1007/978-3-642-12110-4_5}}
@article{Trefethen2009,
Author = {Trefethen, L. N.},
Doi = {10.1093/imanum/drp018},
Journal = {IMA Journal of Numerical Analysis},
Number = {4},
Pages = {887--897},
Title = {{Householder triangularization of a quasimatrix}},
Url = {http://imanum.oxfordjournals.org/cgi/doi/10.1093/imanum/drp018},
Volume = {30},
Year = {2009},
Bdsk-Url-1 = {http://imanum.oxfordjournals.org/cgi/doi/10.1093/imanum/drp018},
Bdsk-Url-2 = {http://dx.doi.org/10.1093/imanum/drp018}}
@article{VanDeun2011,
Author = {van Deun, J. and Trefethen, L. N.},
Doi = {10.1007/s10543-011-0331-7},
Journal = {BIT Numerical Mathematics},
Number = {4},
Pages = {1039--1050},
Title = {{A robust implementation of the Carath\'{e}odory-Fej\'{e}r method}},
Url = {http://link.springer.com/article/10.1007%2Fs10543-011-0331-7},
Volume = {51},
Year = {2011},
Bdsk-Url-1 = {http://link.springer.com/article/10.1007%2Fs10543-011-0331-7},
Bdsk-Url-2 = {http://dx.doi.org/10.1007/s10543-011-0331-7}}
@article{Birkisson2012,
Author = {Birkisson, A. and Driscoll, T. A.},
Doi = {10.1145/2331130.2331134},
Journal = {ACM Transactions on Mathematical Software (TOMS)},
Number = {4},
Pages = {26:1--26:29},
Title = {{Automatic Fr\'{e}chet differentiation for the numerical solution of boundary-value problems}},
Url = {http://dl.acm.org/citation.cfm?doid=2331130.2331134},
Volume = {38},
Year = {2012},
Bdsk-Url-1 = {http://dl.acm.org/citation.cfm?doid=2331130.2331134},
Bdsk-Url-2 = {http://dx.doi.org/10.1145/2331130.2331134}}
@article{Hale2012,
Author = {Hale, N. and Trefethen, L. N.},
Doi = {10.1007/s11425-012-4474-z},
Journal = {{Science China. Mathematics}},
Number = {9},
Pages = {1749--1760},
Title = {{Chebfun and numerical quadrature}},
Url = {http://link.springer.com/article/10.1007%2Fs11425-012-4474-z},
Volume = {55},
Year = {2012},
Bdsk-Url-1 = {http://link.springer.com/article/10.1007%2Fs11425-012-4474-z},
Bdsk-Url-2 = {http://dx.doi.org/10.1007/s11425-012-4474-z}}
@article{Hale2013A,
Author = {Hale, N. and Townsend, A.},
Doi = {http://dx.doi.org/10.1137/120889873},
Journal = {SIAM Journal on Scientific Computing},
Number = {35},
Pages = {A652--A674},
Title = {{Fast and accurate computation of Gauss--Legendre and Gauss--Jacobi quadrature nodes and weights}},
Url = {http://epubs.siam.org/doi/abs/10.1137/120889873},
Volume = {2},
Year = {2013},
Bdsk-Url-1 = {http://epubs.siam.org/doi/abs/10.1137/120889873},
Bdsk-Url-2 = {http://dx.doi.org/10.1137/120889873}}
@article{Hale2013B,
Author = {Hale, N. and Townsend, A.},
Journal = {SIAM Journal on Scientific Computing},
Number = {1},
Pages = {A148--A167},
Publisher = {SIAM},
Title = {A fast, simple, and stable Chebyshev--Legendre transform using an asymptotic formula},
Volume = {36},
Year = {2014}}
@article{Nakatsukasa2013,
Author = {Nakatsukasa, Y. and Noferini, V. and Townsend, A.},
Journal = {Numerische Mathematik},
Pages = {1--29},
Publisher = {Springer},
Title = {Computing the common zeros of two bivariate functions via B{\'e}zout resultants},
Year = {2013}}
@article{Townsend2013,
Author = {Townsend, A. and Trefethen, L. N.},
Journal = {SIAM Journal on Scientific Computing},
Number = {6},
Pages = {C495--C518},
Publisher = {SIAM},
Title = {{An extension of Chebfun to two dimensions}},
Volume = {35},
Year = {2013}}
@book{Trefethen2013,
Author = {Trefethen, L. N.},
Publisher = {Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM)},
Title = {{Approximation Theory and Approximation Practice}},
Url = {http://www2.maths.ox.ac.uk/chebfun/ATAP/},
Year = {2013},
Bdsk-Url-1 = {http://www2.maths.ox.ac.uk/chebfun/ATAP/}}
@article{Hale2014,
Author = {Hale, N. and Townsend, A.},
Journal = {SIAM Journal on Scientific Computing},
Number = {3},
Pages = {A1207--A1220},
Publisher = {SIAM},
Title = {An algorithm for the convolution of Legendre series},
Volume = {36},
Year = {2014}}
@book{Driscoll2014,
Author = {Driscoll, T. A and Hale, N. and Trefethen, L. N.},
Publisher = {Pafnuty Publications},
Title = {Chebfun Guide},
Url = {http://www.chebfun.org/docs/guide/},
Year = {2014},
Bdsk-Url-1 = {http://www.chebfun.org/docs/guide/}}
@misc{Townsend2014,
Author = {Townsend, A. and Trefethen, L. N.},
Date-Modified = {2017-11-13 19:17:18 +0000},
Institution = {Mathematical Institute, University of Oxford},
Title = {{Continuous analogues of matrix factorizations}},
Url = {http://eprints.maths.ox.ac.uk/1766/},
Year = {2014},
Bdsk-Url-1 = {http://eprints.maths.ox.ac.uk/1766/}}