%% Created using Papers on Fri, 31 Mar 2017.
%% http://papersapp.com/papers/
@article{Braun,
author = {Braun, R J and Usha, R and McFadden, G B and Driscoll, Tobin A and {Cook, L. P.} and King-Smith, P E},
title = {{On the effect of the ellipsoidal cornea on the tear film}},
journal = {AIMS J. Discrete Cont. Dynamical Systems},
volume = {submitted}
}
@article{Dzielski1993,
author = {Driscoll, Tobin A and Dzielski, J E},
title = {{Error bound on the solution of a linear-differential equation in Chebyshev series}},
journal = {Int. J. Systems Sci.},
year = {1993},
volume = {24},
pages = {1317--1327}
}
@article{Trefethen1993,
author = {Trefethen, Lloyd N and Trefethen, A and Reddy, S C and Driscoll, Tobin A},
title = {{Hydrodynamic Stability Without Eigenvalues}},
journal = {Science},
year = {1993},
volume = {261},
number = {5121},
pages = {578--584}
}
@proceedings{Driscoll1994,
title = {{Conformal mapping and convergence of Krylov iterations}},
year = {1994}
}
@article{Baggett1995,
author = {Baggett, J S and Driscoll, Tobin A and Trefethen, Lloyd N},
title = {{A mostly linear model of transition to turbulence}},
year = {1995},
volume = {7},
number = {4},
pages = {833}
}
@techreport{Driscoll1995,
author = {Driscoll, Tobin A and Land, B},
title = {{Vibrations of Isospectral Drums}},
year = {1995}
}
@article{Driscoll1996b,
author = {Driscoll, Tobin A and Trefethen, Lloyd N},
title = {{Pseudospectra for the wave operator with an absorbing boundary}},
journal = {J. Comput. Appl. Math.},
year = {1996},
volume = {69},
number = {1},
pages = {125--142}
}
@techreport{Driscoll1996a,
author = {Driscoll, Tobin A and Vavasis, S A},
title = {{Numerical Conformal Mapping Using Cross-Ratios and Delaunay Triangulation}},
year = {1996}
}
@article{Driscoll1996,
author = {Driscoll, Tobin A},
title = {{Algorithm 756: A MATLAB toolbox for Schwarz-Christoffel mapping}},
year = {1996},
volume = {22},
number = {2},
pages = {168--186},
month = jun
}
@article{Driscoll1997,
author = {Driscoll, Tobin A},
title = {{Eigenmodes of Isospectral Drums}},
journal = {SIAM Rev.},
year = {1997},
volume = {39},
number = {1},
pages = {1--17}
}
@article{Driscoll1998a,
author = {Driscoll, Tobin A and Vavasis, S A},
title = {{Numerical Conformal Mapping Using Cross-Ratios and Delaunay Triangulation}},
journal = {SIAM J. Sci. Comput.},
year = {1998},
volume = {19},
pages = {1783--1803}
}
@article{Driscoll1998b,
author = {Trefethen, Lloyd N and Driscoll, Tobin A and Toh, K C},
title = {{From potential theory to matrix iterations in six steps}},
year = {1998},
pages = {547--578}
}
@article{Driscoll:1998jc,
author = {Driscoll, Tobin A and Fornberg, Bengt},
title = {{A Block Pseudospectral Method for Maxwell's Equations I. One-Dimensional Case}},
year = {1998},
volume = {140},
number = {1},
pages = {47--65},
month = feb
}
@article{Driscoll1999,
author = {Fornberg, Bengt and Driscoll, Tobin A},
title = {{Block pseudospectral methods for Maxwell's equations. II. Two-dimensional, discontinuous-coefficient case}},
journal = {SIAM J. Sci. Comput.},
year = {1999},
volume = {21},
pages = {1146--1167}
}
@article{Fornberg2000,
author = {Fornberg, Bengt and Driscoll, Tobin A},
title = {{Note on nonsymmetric finite differences for Maxwell's equations}},
journal = {J. Comput. Phys.},
year = {2000},
volume = {161},
pages = {723--727}
}
@article{Ghrist2000a,
author = {Ghrist, M and Fornberg, Bengt and Driscoll, Tobin A},
title = {{Staggered time integrators for wave equations}},
journal = {SIAM J. Numer. Anal.},
year = {2000},
volume = {38},
pages = {718--741}
}
@article{Goano2001,
author = {Goano, M and Bertazzi, F and Caravelli, P and Ghione, G and Driscoll, Tobin A},
title = {{A general conformal-mapping approach to the optimum electrode design of coplanar waveguides with arbitrary cross section}},
journal = {Microwave Theory {\ldots}},
year = {2001}
}
@article{Driscoll2001,
author = {Driscoll, Tobin A and Fornberg, Bengt},
title = {{A Pad{\'e}-based algorithm for overcoming the Gibbs phenomenon}},
year = {2001},
volume = {26},
number = {1},
pages = {77--92}
}
@article{Driscoll2002a,
author = {Driscoll, Tobin A and Fornberg, Bengt},
title = {{Interpolation in the limit of increasingly flat radial basis functions}},
journal = {Comput. Math. Appl.},
year = {2002},
volume = {43},
pages = {413--422}
}
@article{Driscoll2002,
author = {Driscoll, Tobin A},
title = {{A composite Runge--Kutta method for the spectral solution of semilinear PDE}},
journal = {J. Comput. Phys.},
year = {2002},
volume = {182},
number = {2},
pages = {357--367}
}
@book{Driscoll2002b,
author = {Driscoll, Tobin A and Trefethen, Lloyd N},
title = {{Schwarz--Christoffel Mapping}},
publisher = {Cambridge Univ. Press},
year = {2002}
}
@article{Fornberg2002,
author = {Fornberg, Bengt and Driscoll, Tobin A and Wright, G and Charles, R},
title = {{Observations on the behavior of radial basis function approximations near boundaries}},
journal = {Comput. Math. Appl.},
year = {2002},
volume = {43},
pages = {473--490}
}
@article{Collins2003,
author = {Collins, C R and Driscoll, Tobin A and Stephenson, K},
title = {{Curvature flow in conformal mapping}},
journal = {Comput. Meth. Function Theory},
year = {2003},
volume = {3},
pages = {325--347}
}
@article{Driscoll2003a,
author = {Driscoll, Tobin A and Gottlieb, H P W},
title = {{Isospectral shapes with Neumann and alternating boundary conditions}},
journal = {Phys. Rev. E},
year = {2003},
volume = {68},
number = {1},
pages = {016702},
month = jul
}
@article{Platte2004,
author = {Platte, R B and Driscoll, Tobin A},
title = {{Computing eigenmodes of elliptic operators using radial basis functions}},
journal = {Computers Math. Appl.},
year = {2004},
volume = {48},
number = {3-4},
pages = {561--576}
}
@article{Pelesko2005,
author = {Pelesko, J and Driscoll, Tobin A},
title = {{The effect of the small-aspect-ratio approximation on canonical electrostatic MEMS models}},
journal = {J. Eng. Math.},
year = {2005},
volume = {53},
number = {3},
pages = {239--252}
}
@article{Platte2005,
author = {Platte, Rodrigo B and Driscoll, Tobin A},
title = {{Polynomials and Potential Theory for Gaussian Radial Basis Function Interpolation}},
journal = {SIAM J. Numer. Anal.},
year = {2005},
volume = {43},
number = {2},
pages = {750--766}
}
@article{Driscoll:2005bl,
author = {Driscoll, Tobin A},
title = {{Algorithm 843: Improvements to the Schwarz--Christoffel toolbox for MATLAB}},
year = {2005},
volume = {31},
number = {2},
pages = {239--251},
month = jun
}
@article{Platte2006,
author = {Platte, R B and Driscoll, Tobin A},
title = {{Eigenvalue stability of radial basis function discretizations for time-dependent problems}},
journal = {Comput. Math. Appl.},
year = {2006},
volume = {51},
number = {8},
pages = {1251--1268},
annote = {Radial Basis Functions and Related Multivariate Meshfree ApproximationMethods: Theory and Applications}
}
@article{DeLillo2006,
author = {DeLillo, T K and Driscoll, Tobin A and Elcrat, A R and Pfaltzgraff, J A},
title = {{Computation of Multiply Connected Schwarz-Christoffel Maps for Exterior Domains}},
year = {2006},
volume = {6},
number = {2}
}
@article{Heryudono2007,
author = {Heryudono, A and Braun, R J and Driscoll, Tobin A and Maki, K L and Cook, L P and Smith, PE King},
title = {{Single-equation models for the tear film in a blink cycle: realistic lid motion}},
year = {2007},
volume = {24},
number = {4}
}
@article{Driscoll:2007gj,
author = {Driscoll, Tobin A and Heryudono, Alfa R H},
title = {{Adaptive residual subsampling methods for radial basis function interpolation and collocation problems}},
year = {2007},
volume = {53},
number = {6},
pages = {927--939},
month = mar
}
@article{DeLillo2008,
author = {DeLillo, T K and Driscoll, Tobin A and Elcrat, A R and Pfaltzgraff, J A},
title = {{Radial and circular slit maps of unbounded multiply connected circle domains}},
year = {2008},
volume = {464},
number = {2095},
pages = {1719--1737},
month = jul
}
@article{Anonymous:2008cj,
author = {Maki, K L and Braun, R J and Driscoll, Tobin A and King-Smith, P E},
title = {{An overset grid method for the study of reflex tearing}},
journal = {Mathematical Medicine and Biology},
year = {2008},
volume = {25},
number = {3},
pages = {187--214},
month = jul
}
@article{Driscoll:2008et,
author = {Driscoll, Tobin A and Bornemann, Folkmar and Trefethen, Lloyd N},
title = {{The chebop system for automatic solution of differential equations}},
year = {2008},
volume = {48},
number = {4},
pages = {701--723},
month = nov
}
@book{Driscoll2009a,
author = {Driscoll, Tobin A},
title = {{Learning MATLAB}},
publisher = {Society for Industrial and Applied Mathematics},
year = {2009},
address = {Philadelphia}
}
@article{Driscolla,
author = {Driscoll, Tobin A},
title = {{Automatic spectral collocation for integral, integro-differential, and integrally reformulated differential equations}},
year = {2010},
volume = {229},
number = {17},
pages = {5980--5998}
}
@article{Heryudono:2010jt,
author = {Heryudono, Alfa R H and Driscoll, Tobin A},
title = {{Radial Basis Function Interpolation on Irregular Domain through Conformal Transplantation}},
year = {2010},
volume = {44},
number = {3},
pages = {286--300},
month = jun
}
@article{Anonymous:2010fm,
author = {Usher, David C and Driscoll, Tobin A and Dhurjati, Prasad and Pelesko, John A and Rossi, Louis F and Schleiniger, Gilberto and Pusecker, Kathleen and White, Harold B and Driscoll, Tobin A},
title = {{A Transformative Model for Undergraduate Quantitative Biology Education}},
journal = {CBE Life Sci Educ},
year = {2010},
volume = {9},
number = {3},
pages = {181--188},
month = sep
}
@article{Neves,
author = {Neves, AMA and Driscoll, Tobin A and Heryudono, ARH},
title = {{Adaptive methods for analysis of composite plates with radial basis functions}},
journal = {Mechanics of {\ldots}},
year = {2011},
volume = {18},
number = {6},
pages = {420--430}
}
@article{Braun:2011fk,
author = {Braun, R J and Usha, R and McFadden, G B and Driscoll, Tobin A and {Cook, L. P.} and King-Smith, P E},
title = {{Thin film dynamics on a prolate spheroid with application to the cornea}},
year = {2011},
volume = {73},
number = {1},
pages = {121--138},
month = jun
}
@article{Birkisson:2012ky,
author = {Birkisson, A and Driscoll, Tobin A},
title = {{Automatic Fr{\'e}chet differentiation for the numerical solution of boundary-value problems}},
year = {2012},
volume = {38},
number = {4},
pages = {1--29}
}
@article{Reid:2012dk,
author = {Reid, W M and Driscoll, T and Doty, M F},
title = {{Forming delocalized intermediate states with realistic quantum dots}},
year = {2012},
volume = {111},
number = {5},
pages = {056102}
}
@article{Deng:2012hi,
author = {Deng, Quan and Driscoll, Tobin A},
title = {{A Fast Treecode for Multiquadric Interpolation with Varying Shape Parameters}},
year = {2012},
volume = {34},
number = {2},
pages = {A1126--A1140},
month = jan
}
@article{Anonymous:kq6PbAQy,
author = {Deng, Quan and Braun, R J and Driscoll, Tobin A and King-Smith, P E},
title = {{A model for the tear film and ocular surface temperature for partial blinks}},
journal = {Interfacial Phenom Heat Transf},
year = {2013},
volume = {1},
number = {4},
pages = {357--381}
}
@article{Deng:2014gj,
author = {Deng, Quan and Braun, R J and Driscoll, Tobin A},
title = {{Heat transfer and tear film dynamics over multiple blink cycles}},
year = {2014},
volume = {26},
number = {7},
pages = {071901},
month = jul
}
@article{Driscoll:2014jz,
author = {Driscoll, Tobin A and Weideman, J A C},
title = {{Optimal Domain Splitting for Interpolation by Chebyshev Polynomials}},
year = {2014},
volume = {52},
number = {4},
pages = {1913--1927},
month = jul
}
@inproceedings{Stapf:2015va,
author = {Stapf, Michael and Braun, Richard and Begley, Carolyn and Driscoll, Tobin and King-Smith, Peter Ewen},
title = {{Modeling Tear Film Evaporation and Breakup with Duplex Films}},
booktitle = {Bulletin of the American Physical Society},
year = {2015},
publisher = {American Physical Society},
month = nov
}
@inproceedings{Ketelaar:2015vl,
author = {Ketelaar, Christiaan and Zhong, Lan and Braun, R J and Driscoll, Tobin A and King-Smith, P E and Begley, C G},
title = {{Tear Film Dynamics Around a Rigid Model Blob}},
booktitle = {Bulletin of the American Physical Society},
year = {2015},
publisher = {American Physical Society},
month = nov
}
@inproceedings{Braun:2015wp,
author = {Braun, R J and Li, Longfei and Henshaw, William and Driscoll, Tobin and King-Smith, P E},
title = {{Solute Dynamics and Imaging in the Tear Film on an Eye-shaped Domain}},
booktitle = {Bulletin of the American Physical Society},
year = {2015},
publisher = {American Physical Society},
month = nov
}
@inproceedings{Zhong:2015un,
author = {Zhong, Lan and Ketelaar, C F and Braun, R J and Driscoll, Tobin A and King-Smith, P E and Begley, Carolyn G},
title = {{A Model Problem for Blob-Driven Tear Film Breakup (TBU)}},
booktitle = {Bulletin of the American Physical Society},
year = {2015},
publisher = {American Physical Society},
month = nov
}
@article{Anonymous:2016to,
title = {{New directions in numerical computation}},
journal = {Notices of the American Mathematical Society},
year = {2016},
volume = {63},
number = {4},
pages = {398--400}
}
@article{Maki:2016vj,
author = {Maki, K L and Henshaw, William D and Barron, G and Chapp, Dylan and Braun, Richard J and Driscoll, Tobin A},
title = {{A theoretical investigation of the influence of a blink on the tear film dynamics}},
journal = {Invest. Ophthalmol. Vis. Sci},
year = {2016},
volume = {57},
pages = {6173}
}
@article{Li:2016cj,
author = {Li, L and Braun, R J and Driscoll, Tobin A and Henshaw, W D and Banks, J W and King-Smith, P E},
title = {{Computed tear film and osmolarity dynamics on an eye-shaped domain}},
journal = {Mathematical Medicine and Biology},
year = {2016},
volume = {33},
number = {2},
pages = {123--157}
}
@article{Driscoll:2015ea,
author = {Driscoll, Tobin A and Hale, Nicholas},
title = {{Rectangular spectral collocation}},
year = {2016},
volume = {36},
number = {1},
pages = {108--132}
}
@article{Zhong:2016un,
author = {Zhong, Lan and Ketelaar, C F and Braun, Richard J and Driscoll, Tobin A},
title = {{Mathematical modeling of glob-driven tear film breakup.}},
journal = {Invest. Ophthalmol. Vis. Sci},
year = {2016},
volume = {57},
pages = {6171}
}