TADRefs.bib

@article{Brosch:2017aa,
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  date-added = {2017-09-15 17:36:20 +0000},
  date-modified = {2017-09-15 18:36:07 +0000},
  journal = {J. Modeling Ophthamology},
  pages = {60--81},
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  url = {http://www.modeling-ophthalmology.com/index.php/JMO/article/view/38},
  volume = {1},
  year = {2017}
}
@article{Dzielski1993,
  author = {Driscoll, T A and Dzielski, J E},
  date-modified = {2017-09-15 18:48:15 +0000},
  journal = {Int. J. Systems Sci.},
  pages = {1317--1327},
  title = {Error bound on the solution of a linear-differential equation in {C}hebyshev series},
  url = {http://www.tandfonline.com/doi/abs/10.1080/00207729308949562},
  volume = {24},
  year = {1993}
}
@article{Trefethen1993,
  author = {Trefethen, L N and Trefethen, A and Reddy, S C and Driscoll, T A},
  date-modified = {2017-09-15 18:48:09 +0000},
  journal = {Science},
  number = {5121},
  pages = {578--584},
  title = {Hydrodynamic Stability Without Eigenvalues},
  url = {http://www.jstor.org/stable/pdf/2882016.pdf},
  volume = {261},
  year = {1993}
}
@article{Baggett1995,
  author = {Baggett, J S and Driscoll, T A and Trefethen, L N},
  date-modified = {2017-09-15 18:48:00 +0000},
  number = {4},
  pages = {833},
  title = {A mostly linear model of transition to turbulence},
  volume = {7},
  year = {1995}
}
@article{Driscoll1996b,
  author = {Driscoll, T A and Trefethen, L N},
  date-modified = {2017-09-15 18:47:48 +0000},
  journal = {J. Comput. Appl. Math.},
  number = {1},
  pages = {125--142},
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  url = {http://www.sciencedirect.com/science/article/pii/0377042795000216},
  volume = {69},
  year = {1996}
}
@article{Driscoll1996,
  author = {Driscoll, T A},
  date-modified = {2017-09-15 18:47:40 +0000},
  month = jun,
  number = {2},
  pages = {168--186},
  title = {Algorithm 756: A {MATLAB} toolbox for {S}chwarz--{C}hristoffel mapping},
  url = {http://dl.acm.org/citation.cfm?id=229475},
  volume = {22},
  year = {1996}
}
@article{Driscoll1997,
  author = {Driscoll, T A},
  date-modified = {2017-09-15 18:47:34 +0000},
  journal = {SIAM Rev.},
  number = {1},
  pages = {1--17},
  title = {Eigenmodes of Isospectral Drums},
  url = {http://epubs.siam.org/doi/abs/10.1137/S0036144595285069},
  volume = {39},
  year = {1997}
}
@article{Driscoll1998a,
  author = {Driscoll, T A and Vavasis, S A},
  date-modified = {2017-09-15 18:01:31 +0000},
  journal = {SIAM J. Sci. Comput.},
  pages = {1783--1803},
  title = {Numerical Conformal Mapping Using Cross-Ratios and {D}elaunay Triangulation},
  url = {http://epubs.siam.org/doi/abs/10.1137/S1064827596298580},
  volume = {19},
  year = {1998}
}
@article{Driscoll1998b,
  author = {Trefethen, L N and Driscoll, T A and Toh, K C},
  date-modified = {2017-09-15 18:47:23 +0000},
  journal = {SIAM Rev.},
  number = {3},
  pages = {547--578},
  title = {From potential theory to matrix iterations in six steps},
  url = {http://epubs.siam.org/doi/abs/10.1137/S0036144596305582},
  volume = {40},
  year = {1998}
}
@article{Driscoll:1998jc,
  author = {Driscoll, T A and Fornberg, B},
  date-modified = {2017-09-15 18:47:13 +0000},
  journal = {J. Comput. Phys.},
  month = feb,
  number = {1},
  pages = {47--65},
  title = {A Block Pseudospectral Method for {M}axwell's Equations {I}. {O}ne-Dimensional Case},
  url = {http://www.sciencedirect.com/science/article/pii/S0021999198958831},
  volume = {140},
  year = {1998}
}
@article{Driscoll1999,
  author = {Fornberg, B and Driscoll, T A},
  date-modified = {2017-09-15 18:47:05 +0000},
  journal = {SIAM J. Sci. Comput.},
  pages = {1146--1167},
  title = {Block pseudospectral methods for {M}axwell's equations. {II}. {T}wo-dimensional, discontinuous-coefficient case},
  url = {http://epubs.siam.org/doi/abs/10.1137/S106482759833320X},
  volume = {21},
  year = {1999}
}
@article{Fornberg2000,
  author = {Fornberg, B and Driscoll, T A},
  date-modified = {2017-09-15 18:46:57 +0000},
  journal = {J. Comput. Phys.},
  pages = {723--727},
  title = {Note on nonsymmetric finite differences for {M}axwell's equations},
  url = {http://www.sciencedirect.com/science/article/pii/S0021999100965240},
  volume = {161},
  year = {2000}
}
@article{Ghrist2000a,
  author = {Ghrist, M and Fornberg, B and Driscoll, T A},
  date-modified = {2017-09-15 18:46:47 +0000},
  journal = {SIAM J. Numer. Anal.},
  pages = {718--741},
  title = {Staggered time integrators for wave equations},
  url = {http://epubs.siam.org/doi/abs/10.1137/S0036142999351777},
  volume = {38},
  year = {2000}
}
@article{Goano2001,
  author = {Goano, M and Bertazzi, F and Caravelli, P and Ghione, G and Driscoll, T A},
  date-modified = {2017-09-15 18:46:29 +0000},
  journal = {IEEE Trans. Microwave Theory Tech.},
  pages = {1573--1580},
  title = {A general conformal-mapping approach to the optimum electrode design of coplanar waveguides with arbitrary cross section},
  url = {http://ieeexplore.ieee.org/abstract/document/942569/},
  volume = {49},
  year = {2001}
}
@article{Driscoll2001,
  author = {Driscoll, T A and Fornberg, B},
  date-modified = {2017-09-15 18:46:38 +0000},
  journal = {Num. Algorithms},
  number = {1},
  pages = {77--92},
  title = {A {P}ad{\'e}-based algorithm for overcoming the {G}ibbs phenomenon},
  url = {http://www.springerlink.com/index/T10036554404HN03.pdf},
  volume = {26},
  year = {2001}
}
@article{Driscoll2002a,
  author = {Driscoll, Tobin A and Fornberg, Bengt},
  date-modified = {2017-09-15 18:09:32 +0000},
  journal = {Comput. Math. Appl.},
  pages = {413--422},
  title = {Interpolation in the limit of increasingly flat radial basis functions},
  url = {http://www.sciencedirect.com/science/article/pii/S0898122101002954},
  volume = {43},
  year = {2002}
}
@article{Driscoll2002,
  author = {Driscoll, T A},
  date-modified = {2017-09-15 18:46:22 +0000},
  journal = {J. Comput. Phys.},
  number = {2},
  pages = {357--367},
  title = {A composite {R}unge--{K}utta method for the spectral solution of semilinear {PDE}},
  url = {http://www.sciencedirect.com/science/article/pii/S0021999102971275},
  volume = {182},
  year = {2002}
}
@book{Driscoll2002b,
  author = {Driscoll, Tobin A and Trefethen, Lloyd N},
  publisher = {Cambridge Univ. Press},
  title = {{Schwarz--Christoffel Mapping}},
  year = {2002}
}
@article{Fornberg2002,
  author = {Fornberg, B and Driscoll, T A and Wright, G and Charles, R},
  date-modified = {2017-09-15 18:46:12 +0000},
  journal = {Comput. Math. Appl.},
  pages = {473--490},
  title = {{Observations on the behavior of radial basis function approximations near boundaries}},
  url = {http://www.sciencedirect.com/science/article/pii/S0898122101002991},
  volume = {43},
  year = {2002}
}
@article{Collins2003,
  author = {Collins, C R and Driscoll, T A and Stephenson, K},
  date-modified = {2017-09-15 18:46:01 +0000},
  journal = {Comput. Meth. Function Theory},
  pages = {325--347},
  title = {{Curvature flow in conformal mapping}},
  url = {http://link.springer.com/article/10.1007/BF03321041},
  volume = {3},
  year = {2003}
}
@article{Driscoll2003a,
  author = {Driscoll, T A and Gottlieb, H P W},
  date-modified = {2017-09-15 18:45:54 +0000},
  journal = {Phys. Rev. E},
  month = jul,
  number = {1},
  pages = {016702},
  title = {Isospectral shapes with {N}eumann and alternating boundary conditions},
  url = {https://journals.aps.org/pre/abstract/10.1103/PhysRevE.68.016702},
  volume = {68},
  year = {2003}
}
@article{Platte2004,
  author = {Platte, R B and Driscoll, T A},
  date-modified = {2017-09-15 18:45:47 +0000},
  journal = {Computers Math. Appl.},
  number = {3-4},
  pages = {561--576},
  title = {Computing eigenmodes of elliptic operators using radial basis functions},
  url = {http://www.sciencedirect.com/science/article/pii/S089812210484077X},
  volume = {48},
  year = {2004}
}
@article{Pelesko2005,
  author = {Pelesko, J A and Driscoll, T A},
  date-modified = {2017-09-15 18:45:35 +0000},
  journal = {J. Eng. Math.},
  number = {3},
  pages = {239--252},
  title = {The effect of the small-aspect-ratio approximation on canonical electrostatic {MEMS} models},
  url = {http://www.springerlink.com/index/7TN635848786W6H4.pdf},
  volume = {53},
  year = {2005}
}
@article{Platte2005,
  author = {Platte, R B and Driscoll, T A},
  date-modified = {2017-09-15 18:45:24 +0000},
  journal = {SIAM J. Numer. Anal.},
  number = {2},
  pages = {750--766},
  title = {Polynomials and Potential Theory for {G}aussian Radial Basis Function Interpolation},
  url = {http://epubs.siam.org/doi/abs/10.1137/040610143},
  volume = {43},
  year = {2005}
}
@article{Driscoll:2005bl,
  author = {Driscoll, T A},
  date-modified = {2017-09-15 18:45:16 +0000},
  journal = {ACM Trans. Math. Soft.},
  month = jun,
  number = {2},
  pages = {239--251},
  title = {Algorithm 843: Improvements to the {S}chwarz--{C}hristoffel toolbox for {MATLAB}},
  url = {http://dl.acm.org/citation.cfm?id=1067971},
  volume = {31},
  year = {2005}
}
@article{Platte2006,
  annote = {Radial Basis Functions and Related Multivariate Meshfree ApproximationMethods: Theory and Applications},
  author = {Platte, R B and Driscoll, T A},
  date-modified = {2017-09-15 18:45:03 +0000},
  journal = {Comput. Math. Appl.},
  number = {8},
  pages = {1251--1268},
  title = {Eigenvalue stability of radial basis function discretizations for time-dependent problems},
  url = {http://www.sciencedirect.com/science/article/pii/S0898122106000770},
  volume = {51},
  year = {2006}
}
@article{DeLillo2006,
  author = {DeLillo, T K and Driscoll, T A and Elcrat, A R and Pfaltzgraff, J A},
  date-modified = {2017-09-15 18:45:10 +0000},
  journal = {Comp. Meth. Function Theory},
  number = {2},
  title = {Computation of Multiply Connected {S}chwarz--{C}hristoffel Maps for Exterior Domains},
  url = {http://link.springer.com/article/10.1007/BF03321616},
  volume = {6},
  year = {2006}
}
@article{Heryudono2007,
  author = {Heryudono, A R H and Braun, R J and Driscoll, T A and Maki, K L and Cook, L P and King-Smith, PE},
  date-modified = {2017-09-15 18:44:55 +0000},
  journal = {Math. Med. Biol.},
  number = {4},
  pages = {347--377},
  title = {Single-equation models for the tear film in a blink cycle: realistic lid motion},
  url = {https://academic.oup.com/imammb/article-abstract/24/4/347/661376},
  volume = {24},
  year = {2007}
}
@article{Driscoll:2007gj,
  author = {Driscoll, T A and Heryudono, A R H},
  date-modified = {2017-09-15 18:44:37 +0000},
  journal = {Comput. Math. Appl.},
  month = mar,
  number = {6},
  pages = {927--939},
  title = {Adaptive residual subsampling methods for radial basis function interpolation and collocation problems},
  url = {http://www.sciencedirect.com/science/article/pii/S0898122107000454},
  volume = {53},
  year = {2007}
}
@article{DeLillo2008,
  author = {DeLillo, T K and Driscoll, T A and Elcrat, A R and Pfaltzgraff, J A},
  date-modified = {2017-09-15 18:44:27 +0000},
  journal = {Proc. Roy. Soc. A},
  month = jul,
  number = {2095},
  pages = {1719--1737},
  title = {Radial and circular slit maps of unbounded multiply connected circle domains},
  url = {http://rspa.royalsocietypublishing.org/content/464/2095/1719.short},
  volume = {464},
  year = {2008}
}
@article{Anonymous:2008cj,
  author = {Maki, K L and Braun, R J and Driscoll, T A and King-Smith, P E},
  date-modified = {2017-09-15 18:44:19 +0000},
  journal = {Mathematical Medicine and Biology},
  month = jul,
  number = {3},
  pages = {187--214},
  title = {An overset grid method for the study of reflex tearing},
  url = {https://academic.oup.com/imammb/article-abstract/25/3/187/682269},
  volume = {25},
  year = {2008}
}
@article{Driscoll:2008et,
  author = {Driscoll, T A and Bornemann, F and Trefethen, L N},
  date-modified = {2017-09-15 18:44:11 +0000},
  journal = {BIT Numerical Mathematics},
  month = nov,
  number = {4},
  pages = {701--723},
  title = {The chebop system for automatic solution of differential equations},
  url = {http://www.springerlink.com/index/46471515240111M2.pdf},
  volume = {48},
  year = {2008}
}
@book{Driscoll2009a,
  address = {Philadelphia},
  author = {Driscoll, Tobin A},
  publisher = {Society for Industrial and Applied Mathematics},
  title = {{Learning MATLAB}},
  year = {2009}
}
@article{Driscoll2010fg,
  author = {Driscoll, T A},
  date-modified = {2017-09-15 18:43:56 +0000},
  journal = {J. Comput. Phys.},
  number = {17},
  pages = {5980--5998},
  title = {Automatic spectral collocation for integral, integro-differential, and integrally reformulated differential equations},
  url = {http://www.sciencedirect.com/science/article/pii/S0021999110002056},
  volume = {229},
  year = {2010}
}
@article{Heryudono:2010jt,
  author = {Heryudono, A R H and Driscoll, T A},
  date-modified = {2017-09-15 18:43:42 +0000},
  journal = {J. Sci. Comput.},
  month = jun,
  number = {3},
  pages = {286--300},
  title = {Radial Basis Function Interpolation on Irregular Domain through Conformal Transplantation},
  url = {http://www.springerlink.com/index/1H0L830Q714PNM51.pdf},
  volume = {44},
  year = {2010}
}
@article{Anonymous:2010fm,
  author = {Usher, D C and Driscoll, T A and Dhurjati, P and Pelesko, J A and Rossi, L F and Schleiniger, G and Pusecker, K and White, H B},
  date-modified = {2017-09-15 18:43:29 +0000},
  journal = {CBE Life Sci. Educ.},
  month = sep,
  number = {3},
  pages = {181--188},
  title = {A Transformative Model for Undergraduate Quantitative Biology Education},
  url = {http://www.lifescied.org/content/9/3/181.short},
  volume = {9},
  year = {2010}
}
@article{Neves,
  author = {Neves, A M A and Driscoll, T A and Heryudono, A R H},
  date-modified = {2017-09-15 18:42:50 +0000},
  journal = {Mech. Adv. Materials Structures},
  number = {6},
  pages = {420--430},
  title = {Adaptive methods for analysis of composite plates with radial basis functions},
  url = {http://www.tandfonline.com/doi/abs/10.1080/15376494.2010.528155},
  volume = {18},
  year = {2011}
}
@article{Braun:2011fk,
  author = {Braun, R J and Usha, R and McFadden, G B and Driscoll, T A and Cook, L P and King-Smith, P E},
  date-modified = {2017-09-15 18:42:35 +0000},
  journal = {J. Eng. Math.},
  month = jun,
  number = {1},
  pages = {121--138},
  title = {Thin film dynamics on a prolate spheroid with application to the cornea},
  url = {http://www.springerlink.com/index/LU0T33R674Q8T212.pdf},
  volume = {73},
  year = {2011}
}
@article{Birkisson:2012ky,
  author = {Birkisson, A and Driscoll, T A},
  date-modified = {2017-09-15 18:42:27 +0000},
  journal = {ACM Trans. Math. Soft.},
  number = {4},
  pages = {1--29},
  title = {Automatic {F}r{\'e}chet differentiation for the numerical solution of boundary-value problems},
  url = {http://dl.acm.org/citation.cfm?id=2331134},
  volume = {38},
  year = {2012}
}
@article{Reid:2012dk,
  author = {Reid, W M and Driscoll, T A and Doty, M F},
  date-modified = {2017-09-15 18:42:08 +0000},
  journal = {J. Appl. Phys.},
  number = {5},
  pages = {056102},
  title = {Forming delocalized intermediate states with realistic quantum dots},
  url = {http://aip.scitation.org/doi/abs/10.1063/1.3691113},
  volume = {111},
  year = {2012}
}
@article{Deng:2012hi,
  author = {Deng, Q and Driscoll, T A},
  date-modified = {2017-09-15 18:42:20 +0000},
  journal = {SIAM J. Sci. Comput.},
  month = jan,
  number = {2},
  pages = {A1126--A1140},
  title = {A Fast Treecode for Multiquadric Interpolation with Varying Shape Parameters},
  url = {http://epubs.siam.org/doi/abs/10.1137/110836225},
  volume = {34},
  year = {2012}
}
@article{Deng2013ac,
  author = {Deng, Q and Braun, R J and Driscoll, T A and King-Smith, P E},
  date-modified = {2017-09-15 18:42:00 +0000},
  journal = {Interfacial Phenom. Heat Transfer},
  number = {4},
  pages = {357--381},
  title = {A model for the tear film and ocular surface temperature for partial blinks},
  url = {http://www.dl.begellhouse.com/journals/728e68e739b67efe,7e2b39386dbdfe7f,16da26f479f4db8d.html},
  volume = {1},
  year = {2013}
}
@article{Deng:2014gj,
  author = {Deng, Q and Braun, R J and Driscoll, T A},
  date-modified = {2017-09-15 18:41:51 +0000},
  journal = {Phys. Fluids},
  month = jul,
  number = {7},
  pages = {071901},
  title = {Heat transfer and tear film dynamics over multiple blink cycles},
  url = {http://aip.scitation.org/doi/abs/10.1063/1.4887341},
  volume = {26},
  year = {2014}
}
@article{Driscoll:2014jz,
  author = {Driscoll, T A and Weideman, J A C},
  date-modified = {2017-09-15 18:41:41 +0000},
  journal = {SIAM J. Numer. Anal.},
  month = jul,
  number = {4},
  pages = {1913--1927},
  title = {Optimal Domain Splitting for Interpolation by {C}hebyshev Polynomials},
  url = {http://epubs.siam.org/doi/abs/10.1137/130919428},
  volume = {52},
  year = {2014}
}
@inproceedings{Stapf:2015va,
  author = {Stapf, M and Braun, R J and Begley, C and Driscoll, T A and King-Smith, P E},
  booktitle = {Bulletin of the American Physical Society},
  date-modified = {2017-09-15 18:40:28 +0000},
  month = nov,
  publisher = {American Physical Society},
  title = {Modeling Tear Film Evaporation and Breakup with Duplex Films},
  year = {2015}
}
@inproceedings{Ketelaar:2015vl,
  author = {Ketelaar, C and Zhong, L and Braun, R J and Driscoll, T A and King-Smith, P E and Begley, C G},
  booktitle = {Bulletin of the American Physical Society},
  date-modified = {2017-09-15 18:40:44 +0000},
  month = nov,
  publisher = {American Physical Society},
  title = {Tear Film Dynamics Around a Rigid Model Blob},
  year = {2015}
}
@inproceedings{Braun:2015wp,
  author = {Braun, R J and Li, Longfei and Henshaw, W and Driscoll, T A and King-Smith, P E},
  booktitle = {Bulletin of the American Physical Society},
  date-modified = {2017-09-15 18:41:08 +0000},
  month = nov,
  publisher = {American Physical Society},
  title = {Solute Dynamics and Imaging in the Tear Film on an Eye-shaped Domain},
  year = {2015}
}
@inproceedings{Zhong:2015un,
  author = {Zhong, L and Ketelaar, C F and Braun, R J and Driscoll, T A and King-Smith, P E and Begley, C G},
  booktitle = {Bulletin of the American Physical Society},
  date-modified = {2017-09-15 18:40:00 +0000},
  month = nov,
  publisher = {American Physical Society},
  title = {A Model Problem for Blob-Driven Tear Film Breakup },
  year = {2015}
}
@article{Anonymous:2016to,
  journal = {Notices of the American Mathematical Society},
  number = {4},
  pages = {398--400},
  title = {{New directions in numerical computation}},
  volume = {63},
  year = {2016}
}
@article{Maki:2016vj,
  author = {Maki, K L and Henshaw, W D and Barron, G and Chapp, D and Braun, R J and Driscoll, T A},
  date-modified = {2017-09-15 18:39:20 +0000},
  journal = {Invest. Ophthalmol. Vis. Sci.},
  pages = {6173},
  title = {A theoretical investigation of the influence of a blink on the tear film dynamics},
  volume = {57},
  year = {2016}
}
@article{Li:2016cj,
  author = {Li, L and Braun, R J and Driscoll, T A and Henshaw, W D and Banks, J W and King-Smith, P E},
  date-modified = {2017-09-15 18:39:32 +0000},
  journal = {Mathematical Medicine and Biology},
  number = {2},
  pages = {123--157},
  title = {Computed tear film and osmolarity dynamics on an eye-shaped domain},
  url = {https://academic.oup.com/imammb/article-abstract/33/2/123/2875345},
  volume = {33},
  year = {2016}
}
@article{Driscoll:2015ea,
  author = {Driscoll, T A and Hale, N},
  date-modified = {2017-09-15 18:39:42 +0000},
  journal = {IMA J. Num. Analy.},
  number = {1},
  pages = {108--132},
  title = {Rectangular spectral collocation},
  url = {https://academic.oup.com/imajna/article-abstract/36/1/108/2363563},
  volume = {36},
  year = {2016}
}
@article{Zhong:2016un,
  author = {Zhong, L. and Ketelaar, C. F. and Braun, R. J. and Driscoll, T. A.},
  date-modified = {2017-09-15 18:38:57 +0000},
  journal = {Invest. Ophthalmol. Vis. Sci.},
  pages = {6171},
  title = {Mathematical modeling of glob-driven tear film breakup},
  url = {https://www.mathsci.udel.edu/content-sub-site/Documents/WRS%20Posters/S16%20posterZhong.pdf},
  volume = {57},
  year = {2016}
}

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