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chebfun.bib
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@article{Battles2004,
author = {Trefethen, L. N. and Battles, Z.},
doi = {10.1137/S1064827503430126},
journal = {SIAM Journal on Scientific Computing},
keywords = {Chebyshev points,MATLAB,barycentr,interpolation},
pages = {1743--1770},
publisher = {SIAM},
title = {{An Extension of MATLAB to continuous functions and operators}},
url = {http://link.aip.org/link/?SCE/25/1743/1},
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}
}
@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}
}
@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}
}
@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}
}
@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}
}
@inproceedings{Platte2010,
author = {Platte, R. B. and Trefethen, L. N.},
doi = {10.1007/978-3-642-12110-4_5},
booktitle = {Progress in Industrial Mathematics at ECMI 2008},
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}
}
@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}
}
@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}
}
@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}
}
@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}
}
@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}
}
@article{Hale2013B,
title={A fast, simple, and stable Chebyshev--Legendre transform using an asymptotic formula},
author={Hale, N. and Townsend, A.},
journal={SIAM Journal on Scientific Computing},
volume={36},
number={1},
pages={A148--A167},
year={2014},
publisher={SIAM}
}
@article{Nakatsukasa2013,
title={Computing the common zeros of two bivariate functions via B{\'e}zout resultants},
author={Nakatsukasa, Y. and Noferini, V. and Townsend, A.},
journal={Numerische Mathematik},
pages={1--29},
year={2013},
publisher={Springer}
}
@article{Townsend2013,
author={Townsend, A. and Trefethen, L. N.},
title={{An extension of Chebfun to two dimensions}},
journal={SIAM Journal on Scientific Computing},
volume={35},
number={6},
pages={C495--C518},
year={2013},
publisher={SIAM}
}
@book{Trefethen2013,
author = {Trefethen, L. N.},
title = {{Approximation Theory and Approximation Practice}},
publisher = {Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM)},
url = {http://www2.maths.ox.ac.uk/chebfun/ATAP/},
year = {2013}
}
@article{Hale2014,
title={An algorithm for the convolution of Legendre series},
author={Hale, N. and Townsend, A.},
journal={SIAM Journal on Scientific Computing},
volume={36},
number={3},
pages={A1207--A1220},
year={2014},
publisher={SIAM}
}
@book{Driscoll2014,
title={Chebfun Guide},
author={Driscoll, T. A and Hale, N. and Trefethen, L. N.},
year={2014},
publisher={Pafnuty Publications},
url={http://www.chebfun.org/docs/guide/}
}
@misc{Townsend2013,
author = {Townsend, A. and Trefethen, L. N.},
institution = {Mathematical Institute, University of Oxford},
title = {{Continuous analogues of matrix factorizations}},
url = {http://eprints.maths.ox.ac.uk/1766/},
year = {2014}
}