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Bibliography

[1]
J. E. Dzielski and T. A. Driscoll, “Error bound on the solution of a linear differential equation in Chebyshev series,” International Journal of Systems Science, vol. 24, no. 7, pp. 1317–1327, Jul. 1993.
[2]
L. N. Trefethen, A. Trefethen, S. C. Reddy, and T. A. Driscoll, “Hydrodynamic Stability Without Eigenvalues,” Science, vol. 261, pp. 578–584, 1993.
[3]
T. A. Driscoll, “Conformal mapping and convergence of Krylov iterations,” 1994.
[4]
T. A. Driscoll and B. Land, Vibrations of Isospectral Drums. 1995.
[5]
T. A. Driscoll and L. N. Trefethen, “Pseudospectra for the wave equation with an absorbing boundary,” Journal of Computational and Applied Mathematics, vol. 69, no. 1, pp. 125–142, Apr. 1996.
[6]
T. A. Driscoll, “Eigenmodes of Isospectral Drums,” SIAM Review, vol. 39, no. 1, pp. 1–17, Jan. 1997.
[7]
T. A. Driscoll and B. Fornberg, “A Block Pseudospectral Method for Maxwell’s Equations: I. One-Dimensional Case,” J. Comput. Phys., vol. 140, pp. 1–19, 1998.
[8]
T. A. Driscoll and S. A. Vavasis, “Numerical Conformal Mapping Using Cross-Ratios and Delaunay Triangulation,” SIAM Journal on Scientific Computing, vol. 19, no. 6, pp. 1783–1803, Nov. 1998.
[9]
T. A. Driscoll, K. C. Toh, and L. N. Trefethen, “From potential theory to matrix iterations in six steps,” SIAM Review, pp. 547–578, 1998.
[10]
T. A. Driscoll, “A Nonoverlapping Domain Decomposition Method for Symm’s Equation for Conformal Mapping,” SIAM Journal on Numerical Analysis, vol. 36, no. 3, pp. 922–934, Jan. 1999.
[11]
B. Fornberg and T. A. Driscoll, “A fast spectral algorithm for nonlinear wave equations with linear dispersion,” J. Comput. Phys., vol. 155, pp. 456–467, 1999.
[12]
T. A. Driscoll and B. Fornberg, “Block pseudospectral methods for Maxwell’s equations: II. Two-dimensional, discontinuous-coefficient case,” SIAM J. Sci. Comput., vol. 21, no. 3, pp. 1146–1167, 1999.
[13]
T. A. Driscoll and B. Fornberg, “Note on nonsymmetric finite differences for Maxwell’s equations,” J. Comput. Phys., vol. 161, pp. 723–727, 2000.
[14]
M. Ghrist, B. Fornberg, and T. A. Driscoll, “Staggered time integrators for wave equations,” SIAM J. Numer. Anal., vol. 38, no. 3, pp. 718–741, 2000.
[15]
T. A. Driscoll and B. Fornberg, “A Padé-based algorithm for overcoming the Gibbs phenomenon,” Numerical Algorithms, vol. 26, no. 1, pp. 77–92, 2001.
[16]
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 Transactions on Microwave Theory and Techniques, vol. 49, no. 9, pp. 1573–1580, 2001.
[17]
T. A. Driscoll and B. Fornberg, “Interpolation in the limit of increasingly flat radial basis functions,” Computers & Mathematics with Applications, vol. 43, no. 3–5, pp. 413–422, Feb. 2002.
[18]
T. A. Driscoll, “A composite Runge–Kutta method for the spectral solution of semilinear PDEs,” Journal of Computational Physics, vol. 182, no. 2, pp. 357–367, Nov. 2002.
[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, vol. 43, pp. 473–490, 2002.
[20]
L. N. Trefethen and T. A. Driscoll, Schwarz–Christoffel Mapping. Cambridge Univ. Press, 2002.
[21]
C. R. Collins, T. A. Driscoll, and K. Stephenson, “Curvature flow in conformal mapping,” Comput. Meth. Function Theory, vol. 3, pp. 325–347, 2003.
[22]
T. A. Driscoll and H. P. W. Gottlieb, “Isospectral shapes with Neumann and alternating boundary conditions,” Phys. Rev. E, vol. 68, p. 016702, Jul. 2003.
[23]
R. B. Platte and T. A. Driscoll, “Computing eigenmodes of elliptic operators using radial basis functions,” Computers Math. Appl., vol. 48, pp. 561–576, 2004.
[24]
R. B. Platte and T. A. Driscoll, “Polynomials and potential theory for Gaussian radial basis function interpolation,” SIAM Journal on Numerical Analysis, vol. 43, no. 2, pp. 750–766, 2005.
[25]
J. A. Pelesko and T. A. Driscoll, “The effect of the small-aspect-ratio approximation on canonical electrostatic MEMS models,” Journal of Engineering Mathematics, vol. 53, no. 3–4, pp. 239–252, 2005.
[26]
T. K. DeLillo, T. A. Driscoll, A. R. Elcrat, and J. A. Pfaltzgraff, “Computation of multiply connected Schwarz-Christoffel maps for exterior domains,” Computational Methods and Function Theory, vol. 6, no. 2, pp. 301–315, Dec. 2006.
[27]
R. B. Platte and T. A. Driscoll, “Eigenvalue stability of radial basis function discretizations for time-dependent problems,” Computers Math. Appl., vol. 51, pp. 1251–1268, 2006.
[28]
T. A. Driscoll and A. R. H. Heryudono, “Adaptive residual subsampling methods for radial basis function interpolation and collocation problems,” Computers & Mathematics with Applications, vol. 53, no. 6, pp. 927–939, Mar. 2007.
[29]
T. A. Driscoll and K. L. Maki, “Searching for rare growth factors using multicanonical Monte Carlo methods,” SIAM Review, vol. 49, no. 4, pp. 673–692, Jan. 2007.
[30]
A. R. H. Heryudono, R. J. Braun, T. A. Driscoll, K. L. Maki, L. P. Cook, and P. E. King-Smith, “Single-equation models for the tear film in a blink cycle: Realistic lid motion,” Math. Med. Biol., vol. 24, no. 4, pp. 347–377, 2007.
[31]
T. K. DeLillo, T. A. Driscoll, A. R. Elcrat, and J. A. Pfaltzgraff, “Radial and circular slit maps of unbounded multiply connected circle domains,” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 464, no. 2095, pp. 1719–1737, Jul. 2008.
[32]
T. A. Driscoll, F. Bornemann, and L. N. Trefethen, “The chebop system for automatic solution of differential equations,” BIT, vol. 48, pp. 701–723, 2008.
[33]
K. L. Maki, R. J. Braun, T. A. Driscoll, and P. E. King-Smith, “An overset grid method for the study of reflex tearing,” Math. Med. Biol., vol. 25, pp. 187–214, 2008.
[34]
T. A. Driscoll, Learning MATLAB. Philadelphia: Society for Industrial and Applied Mathematics, 2009.
[35]
T. A. Driscoll, “Automatic spectral collocation for integral, integro-differential, and integrally reformulated differential equations,” Journal of Computational Physics, vol. 229, no. 17, pp. 5980–5998, Aug. 2010.
[36]
A. R. H. Heryudono and T. A. Driscoll, “Radial Basis Function Interpolation on Irregular Domain through Conformal Transplantation,” Journal of Scientific Computing, vol. 44, no. 3, pp. 286–300, Jun. 2010.
[37]
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 sciences education, vol. 9, no. 3, pp. 181–188, Jan. 2010.
[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,” Journal of Engineering Mathematics, vol. 73, no. 1, pp. 121–138, Jun. 2011.
[39]
A. M. A. Neves, T. A. Driscoll, A. R. H. Heryudono, A. J. M. Ferreira, C. M. M. Soares, and R. M. N. Jorge, “Adaptive Methods for Analysis of Composite Plates with Radial Basis Functions,” Mechanics of Advanced Materials and Structures, vol. 18, no. 6, pp. 420–430, Sep. 2011.
[40]
A. Birkisson and T. A. Driscoll, “Automatic Fréchet Differentiation for the Numerical Solution of Boundary-Value Problems,” ACM Transactions on Mathematical Software, vol. 38, no. 4, Article 26, Aug. 2012.
[41]
Q. Deng and T. A. Driscoll, “A Fast Treecode for Multiquadric Interpolation with Varying Shape Parameters,” SIAM Journal on Scientific Computing, vol. 34, no. 2, pp. A1126–A1140, Jan. 2012.
[42]
W. M. Reid, T. A. Driscoll, and M. F. Doty, “Forming delocalized intermediate states with realistic quantum dots,” Journal of Applied Physics, vol. 111, no. 5, p. 056102, 2012.
[43]
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 Phenomena and Heat Transfer, vol. 1, no. 4, pp. 357–381, 2013.
[44]
Li, L., Braun, R. J., Driscoll, T. A., Henshaw, W. D., Banks, J. W., and King-Smith, P. E., “Coupling osmolarity dynamics within human tear film on an eye-shaped domain,” Bulletin of the American Phyiscal Society, vol. 58, 2013.

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