Toby Driscoll

Professor of Mathematical Sciences

University of Delaware

Biography

Toby Driscoll is a professor in the Department of Mathematical Sciences at the University of Delaware. His research interests are in scientific computation, mathematical software, and applications of mathematics in the life sciences. He is the head of the Center for Applications of Mathematics in Medicine at UD.

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Interests

High-order and spectral methods in scientific computing
Mathematical software in Matlab and Julia
Applied mathematics, especially in biomedicine

Education

PhD in Applied Mathematics, 1996

Cornell University
MS in Applied Mathematics, 1993

Cornell University
BS in Mathematics, 1991

Pennsylvania State University
BS in Physics, 1991

Pennsylvania State University

Projects

Fundamentals of Numerical Computation

Undergraduate textbook in computational mathematics.

Exploring ODEs

A different kind of introduction to ODEs.

Learning MATLAB

Streamlined approach to MATLAB for veteran programmers.

Schwarz–Christoffel Mapping

Monograph on a major conformal mapping method.

Schwarz–Christoffel Toolbox for MATLAB

Conformal mapping to regions bounded by polygons.

MATLAB software

Contributions to the MATLAB ecosystem.

Isospectral drums

Eigenmodes of isospectral drums.

Chebfun

Computing with functions instead of numbers.

Featured Publications

Tobin A Driscoll

December 2019 Journal of Open Source Software

ComplexRegions.jl: A Julia package for regions in the complex plane

Kevin W Aiton, Tobin A Driscoll

January 2019 SIAM Journal on Scientific Computation

An Adaptive Partition of Unity Method for Multivariate Chebyshev Polynomial Approximations

Recent Publications

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Richard J Braun, Rayanne A Luke, Tobin A Driscoll, Carolyn G Begley (2021). Dynamics and mechanisms for tear breakup (TBU) on the ocular surface. Math Biosci Eng.

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Tobin A Driscoll, Richard J Braun, Carolyn G Begley (2021). Automatic detection of the cornea location in video captures of fluorescence. Modeling and Artificial Intelligence in Ophthalmology.

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Rayanne A. Luke, Richard J. Braun, Tobin A. Driscoll, Dominick Sinopoli, Vishruta Yawatkar, Luyang You, Ashish Phatak, Carolyn G. Begley (2021). Fitting Simplified Models to Machine Learning-Identified Tear Film Breakup. Investigative Ophthalmology & Visual Science.

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Rayanne A Luke, Richard J Braun, Tobin A Driscoll, Deborah Awisi-Gyau, Carolyn G. Begley (2021). Parameter estimation for mixed-mechanism tear film thinning. Bull Math Bio.

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Rayanne A Luke, Richard J Braun, Tobin A Driscoll, Carolyn G. Begley, Deborah Awisi-Gyau (2020). Parameter estimation for evaporation-driven tear film thinning. Bull Math Bio.

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