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[54] R. J. Braun, T. A. Driscoll, C. G. Begley, P. E. King-Smith, and J. I. Siddique. On tear film breakup (TBU): dynamics and imaging. Math. Med. Biol., page dqw023, 2017. [ bib | web ]
[53] J. K. Brosch, Z. Wu, C. G. Begley, T. A. Driscoll, and R. J. Braun. Blink characterization using curve fitting and clustering algorithms. J. Modeling Ophthamology, 1:60--81, 2017. [ bib | web ]
[53] L. Zhong, C. F. Ketelaar, R. J. Braun, and T. A. Driscoll. Mathematical modeling of glob-driven tear film breakup. Invest. Ophthalmol. Vis. Sci., 57:6171, 2016. [ bib | web ]
[52] T A Driscoll and N Hale. Rectangular spectral collocation. IMA J. Num. Analy., 36(1):108--132, 2016. [ bib | web ]
[51] L Li, R J Braun, T A Driscoll, W D Henshaw, J W Banks, and P E King-Smith. Computed tear film and osmolarity dynamics on an eye-shaped domain. Mathematical Medicine and Biology, 33(2):123--157, 2016. [ bib | web ]
[50] K L Maki, W D Henshaw, G Barron, D Chapp, R J Braun, and T A Driscoll. A theoretical investigation of the influence of a blink on the tear film dynamics. Invest. Ophthalmol. Vis. Sci., 57:6173, 2016. [ bib ]
[49] New directions in numerical computation. Notices of the American Mathematical Society, 63(4):398--400, 2016. [ bib ]
[48] L Zhong, C F Ketelaar, R J Braun, T A Driscoll, P E King-Smith, and C G Begley. A model problem for blob-driven tear film breakup. In Bulletin of the American Physical Society. American Physical Society, November 2015. [ bib ]
[47] R J Braun, Longfei Li, W Henshaw, T A Driscoll, and P E King-Smith. Solute dynamics and imaging in the tear film on an eye-shaped domain. In Bulletin of the American Physical Society. American Physical Society, November 2015. [ bib ]
[46] C Ketelaar, L Zhong, R J Braun, T A Driscoll, P E King-Smith, and C G Begley. Tear film dynamics around a rigid model blob. In Bulletin of the American Physical Society. American Physical Society, November 2015. [ bib ]
[45] M Stapf, R J Braun, C Begley, T A Driscoll, and P E King-Smith. Modeling tear film evaporation and breakup with duplex films. In Bulletin of the American Physical Society. American Physical Society, November 2015. [ bib ]
[44] T A Driscoll and J A C Weideman. Optimal domain splitting for interpolation by Chebyshev polynomials. SIAM J. Numer. Anal., 52(4):1913--1927, July 2014. [ bib | web ]
[43] Q Deng, R J Braun, and T A Driscoll. Heat transfer and tear film dynamics over multiple blink cycles. Phys. Fluids, 26(7):071901, July 2014. [ bib | web ]
[42] Q Deng, R J Braun, T A Driscoll, and P E King-Smith. A model for the tear film and ocular surface temperature for partial blinks. Interfacial Phenom. Heat Transfer, 1(4):357--381, 2013. [ bib | web ]
[41] Q Deng and T A Driscoll. A fast treecode for multiquadric interpolation with varying shape parameters. SIAM J. Sci. Comput., 34(2):A1126--A1140, January 2012. [ bib | web ]
[40] W M Reid, T A Driscoll, and M F Doty. Forming delocalized intermediate states with realistic quantum dots. J. Appl. Phys., 111(5):056102, 2012. [ bib | web ]
[39] A Birkisson and T A Driscoll. Automatic Fréchet differentiation for the numerical solution of boundary-value problems. ACM Trans. Math. Soft., 38(4):1--29, 2012. [ bib | web ]
[38] R J Braun, R Usha, G B McFadden, T A Driscoll, L P Cook, and P E King-Smith. Thin film dynamics on a prolate spheroid with application to the cornea. J. Eng. Math., 73(1):121--138, June 2011. [ bib | web ]
[37] A M A Neves, T A Driscoll, and A R H Heryudono. Adaptive methods for analysis of composite plates with radial basis functions. Mech. Adv. Materials Structures, 18(6):420--430, 2011. [ bib | web ]
[36] D C Usher, T A Driscoll, P Dhurjati, J A Pelesko, L F Rossi, G Schleiniger, K Pusecker, and H B White. A transformative model for undergraduate quantitative biology education. CBE Life Sci. Educ., 9(3):181--188, September 2010. [ bib | web ]
[35] A R H Heryudono and T A Driscoll. Radial basis function interpolation on irregular domain through conformal transplantation. J. Sci. Comput., 44(3):286--300, June 2010. [ bib | web ]
[34] T A Driscoll. Automatic spectral collocation for integral, integro-differential, and integrally reformulated differential equations. J. Comput. Phys., 229(17):5980--5998, 2010. [ bib | web ]
[33] Tobin A Driscoll. Learning MATLAB. Society for Industrial and Applied Mathematics, Philadelphia, 2009. [ bib ]
[32] T A Driscoll, F Bornemann, and L N Trefethen. The chebop system for automatic solution of differential equations. BIT Numerical Mathematics, 48(4):701--723, November 2008. [ bib | web ]
[31] K L Maki, R J Braun, T A Driscoll, and P E King-Smith. An overset grid method for the study of reflex tearing. Mathematical Medicine and Biology, 25(3):187--214, July 2008. [ bib | web ]
[30] T K DeLillo, T A Driscoll, A R Elcrat, and J A Pfaltzgraff. Radial and circular slit maps of unbounded multiply connected circle domains. Proc. Roy. Soc. A, 464(2095):1719--1737, July 2008. [ bib | web ]
[29] T A Driscoll and A R H Heryudono. Adaptive residual subsampling methods for radial basis function interpolation and collocation problems. Comput. Math. Appl., 53(6):927--939, March 2007. [ bib | web ]
[28] A R H Heryudono, R J Braun, T A Driscoll, K L Maki, L P Cook, and PE King-Smith. Single-equation models for the tear film in a blink cycle: realistic lid motion. Math. Med. Biol., 24(4):347--377, 2007. [ bib | web ]
[27] T K DeLillo, T A Driscoll, A R Elcrat, and J A Pfaltzgraff. Computation of multiply connected Schwarz--Christoffel maps for exterior domains. Comp. Meth. Function Theory, 6(2), 2006. [ bib | web ]
[26] R B Platte and T A Driscoll. Eigenvalue stability of radial basis function discretizations for time-dependent problems. Comput. Math. Appl., 51(8):1251--1268, 2006. [ bib | web ]
[25] T A Driscoll. Algorithm 843: Improvements to the Schwarz--Christoffel toolbox for MATLAB. ACM Trans. Math. Soft., 31(2):239--251, June 2005. [ bib | web ]
[24] R B Platte and T A Driscoll. Polynomials and potential theory for Gaussian radial basis function interpolation. SIAM J. Numer. Anal., 43(2):750--766, 2005. [ bib | web ]
[23] J A Pelesko and T A Driscoll. The effect of the small-aspect-ratio approximation on canonical electrostatic MEMS models. J. Eng. Math., 53(3):239--252, 2005. [ bib | web ]
[22] R B Platte and T A Driscoll. Computing eigenmodes of elliptic operators using radial basis functions. Computers Math. Appl., 48(3-4):561--576, 2004. [ bib | web ]
[21] T A Driscoll and H P W Gottlieb. Isospectral shapes with Neumann and alternating boundary conditions. Phys. Rev. E, 68(1):016702, July 2003. [ bib | web ]
[20] C R Collins, T A Driscoll, and K Stephenson. Curvature flow in conformal mapping. Comput. Meth. Function Theory, 3:325--347, 2003. [ bib | web ]
[19] B Fornberg, T A Driscoll, G Wright, and R Charles. Observations on the behavior of radial basis function approximations near boundaries. Comput. Math. Appl., 43:473--490, 2002. [ bib | web ]
[18] Tobin A Driscoll and Lloyd N Trefethen. Schwarz--Christoffel Mapping. Cambridge Univ. Press, 2002. [ bib ]
[17] T A Driscoll. A composite Runge--Kutta method for the spectral solution of semilinear PDE. J. Comput. Phys., 182(2):357--367, 2002. [ bib | web ]
[16] Tobin A Driscoll and Bengt Fornberg. Interpolation in the limit of increasingly flat radial basis functions. Comput. Math. Appl., 43:413--422, 2002. [ bib | web ]
[15] T A Driscoll and B Fornberg. A Padé-based algorithm for overcoming the Gibbs phenomenon. Num. Algorithms, 26(1):77--92, 2001. [ bib | web ]
[14] M Goano, F Bertazzi, P Caravelli, G Ghione, and T A Driscoll. A general conformal-mapping approach to the optimum electrode design of coplanar waveguides with arbitrary cross section. IEEE Trans. Microwave Theory Tech., 49:1573--1580, 2001. [ bib | web ]
[13] M Ghrist, B Fornberg, and T A Driscoll. Staggered time integrators for wave equations. SIAM J. Numer. Anal., 38:718--741, 2000. [ bib | web ]
[12] B Fornberg and T A Driscoll. Note on nonsymmetric finite differences for Maxwell's equations. J. Comput. Phys., 161:723--727, 2000. [ bib | web ]
[11] B Fornberg and T A Driscoll. Block pseudospectral methods for Maxwell's equations. II. Two-dimensional, discontinuous-coefficient case. SIAM J. Sci. Comput., 21:1146--1167, 1999. [ bib | web ]
[10] T A Driscoll and B Fornberg. A block pseudospectral method for Maxwell's equations I. One-dimensional case. J. Comput. Phys., 140(1):47--65, February 1998. [ bib | web ]
[9] L N Trefethen, T A Driscoll, and K C Toh. From potential theory to matrix iterations in six steps. SIAM Rev., 40(3):547--578, 1998. [ bib | web ]
[8] T A Driscoll and S A Vavasis. Numerical conformal mapping using cross-ratios and Delaunay triangulation. SIAM J. Sci. Comput., 19:1783--1803, 1998. [ bib | web ]
[7] T A Driscoll. Eigenmodes of isospectral drums. SIAM Rev., 39(1):1--17, 1997. [ bib | web ]
[6] T A Driscoll. Algorithm 756: A MATLAB toolbox for Schwarz--Christoffel mapping. 22(2):168--186, June 1996. [ bib | web ]
[5] T A Driscoll and L N Trefethen. Pseudospectra for the wave operator with an absorbing boundary. J. Comput. Appl. Math., 69(1):125--142, 1996. [ bib | web ]
[4] J S Baggett, T A Driscoll, and L N Trefethen. A mostly linear model of transition to turbulence. 7(4):833, 1995. [ bib ]
[3] L N Trefethen, A Trefethen, S C Reddy, and T A Driscoll. Hydrodynamic stability without eigenvalues. Science, 261(5121):578--584, 1993. [ bib | web ]
[2] T A Driscoll and J E Dzielski. Error bound on the solution of a linear-differential equation in Chebyshev series. Int. J. Systems Sci., 24:1317--1327, 1993. [ bib | web ]
[1] J. K. Brosch, Z. Wu, C. G. Begley, T. A. Driscoll, and R. J. Braun. Blink characterization using curve fitting and clustering algorithms. J. Modeling Ophthamology, 1:60--81, 2017. [ bib | web ]

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