Curriculum Vitae for Tobin A. Driscoll

tobydriscoll.net

PDF

Research interests

  • Numerical analysis & scientific computing
  • Applications of mathematics and computing to the life sciences and medicine
  • Scientific machine learning
  • Mathematical software in MATLAB and Julia

Professional experience

University of Delaware

  • Unidel Chaired Professor of Mathematical Sciences 2023–present
  • Professor, Department of Mathematical Sciences 2010–present
  • Director, Master of science in data science program 2023–2025
  • Affiliated Faculty, Department of Biomedical Engineering 2010–present
  • Associate Professor, Department of Mathematical Sciences 2004–2010
  • Assistant Professor, Department of Mathematical Sciences 2000–2004

University of Colorado at Boulder

  • Postdoctoral research fellow, Department of Applied Mathematics 1996–1999

Education

Ph.D. in Applied Mathematics

Cornell University 1991–1996

  • Dissertation: Domain decomposition methods for conformal mapping and eigenvalue problems
  • Advisor: Lloyd N. Trefethen

B.S. in Mathematics with honors, B.S. in Physics

Pennsylvania State University 1987–1991

  • Honors thesis title: Comparison of computational efficiency and sensitivity of several solution algorithms for the linear–quadratic optimal control problem
  • Advisor: John E. Dzielski

Honors and awards

  • Unidel Chaired Professorship, University of Delaware 2023
  • Outstanding Scholar Award, College of Arts & Sciences, University of Delaware 2014
  • Winner, 100 Digit Challenge (SIAM) 2002
  • NSF VIGRE Postdoctoral Fellow, University of Colorado 1999–2000
  • NSF Mathematical Sciences Postdoctoral Research Fellow 1996–1999
  • SIAM Outstanding Paper Prize 1999
  • Runner-up, Richard C. DiPrima Dissertation Prize 1998
  • Second Prize, Leslie Fox Competition 1997
  • SIAM Student Paper Prize Honorable Mention 1995
  • NSF Graduate Research Fellow 1991–1994
  • A. D. White Fellow (Cornell University graduate study) 1991–1994
  • Braddock Scholar (Penn State University undergraduate study) 1987–1991

Grants

  • R. J. Braun (PI), T. A. Driscoll (co-PI). Models for Tear Film Structure, Dynamics and Parameter Identification. NSF DMS-1909846, $375,000. 2019–2022
  • R. J. Braun (PI), T. A. Driscoll, and K. L. Maki (co-PIs). Collaborative Research: Tear Film Dynamics: Modeling, Blinking, and Computation. NSF DMS-1412085, $375,003. 2014–2017
  • M. McCulloch (PI), T. A. Driscoll, and G. Schleiniger (co-PIs). Data driven mathematical modeling of the hypoplastic left heart syndrome circulation. NIH Delaware INBRE III, $60,724. 2014–2016
  • T. A. Driscoll. Special support from The MathWorks, Inc. 2013–2015
  • M. McCulloch (PI), T. A. Driscoll, and G. Schleiniger (co-PIs). Computer simulation of the single ventricle anatomy and physiology explaining mechanisms for sudden cardiac death. NIH Delaware INBRE Grant, $44,182. 2013–2014
  • T. A. Driscoll (PI) with 5 other key personnel. Meeting the need in mathematics at the University of Delaware. U.S. Department of Education Graduate Assistance in Areas of National Need, $527,700. 2012–2015
  • R. J. Braun (PI) and T. A. Driscoll (co-PI), Modeling tear film dynamics. NSF DMS-1022706, $444,000. 2010–2013
  • L. F. Rossi, T. Driscoll, and R. Luke (co-PIs), Strengthening mathematics instruction with automated algorithmic mastery activities. Center for Teaching Effectiveness (UD), $20,000. 2007
  • R. Braun (PI), L. P. Cook, and T. A. Driscoll (co-PIs), Modeling the blink cycle and lipid dynamics in the tear film. NSF DMS-0616483, $325,000. 2006–2009
  • H. B. White et al. (co-PIs), with T. A. Driscoll and others as senior personnel. Howard Hughes Medical Institute Undergraduate Science Education grant, $1,500,000. 2006–2010
  • R. Braun, T. A. Driscoll, P. Monk, L. F. Rossi (co-PIs). NSF Scientific Computing Research Environments for the Mathematical Sciences. NSF DMS-0322583, $68,460. 2003
  • University of Delaware International Travel Award 2003
  • T. A. Driscoll (PI). Novel fast and accurate methods for partial differential equations. NSF DMS-0104229, $88,407. 2001–2004
  • T. A. Driscoll (PI). Fast time stepping for the computational simulation of differential equations. University of Delaware Research Foundation, $21,042. 2001–2002
  • T. A. Driscoll (PI). NSF Mathematical Sciences Postdoctoral Research Fellowship (University of Colorado). NSF DMS-9627677, $75,000. 1996–1999

Scholarly works

See also my Google Scholar site.

Books

  • T. A. Driscoll and R. J. Braun. Fundamentals of Numerical Computation, online edition in Julia, MATLAB, and Python 2025
  • T. A. Driscoll and R. J. Braun. Fundamentals of Numerical Computation: Julia Edition, SIAM 2022
  • L. N. Trefethen, A. Birkisson, and T. A. Driscoll. Exploring ODEs, SIAM 2018
  • T. A. Driscoll and R. J. Braun. Fundamentals of Numerical Computation, SIAM 2017
  • T. A. Driscoll, N. Hale, and L. N. Trefethen, eds. Chebfun Guide, 1st edition. Oxford, UK 2014
  • T. A. Driscoll, Learning MATLAB, Society for Industrial and Applied Mathematics 2009
  • T. A. Driscoll and L. N. Trefethen. Schwarz–Christoffel Mapping, Cambridge University Press 2002

Book chapters

  • R. J. Braun, T. A. Driscoll, and C. G. Begley, “Mathematical Models of the Tear Film,” in Ocular Fluid Dynamics: Anatomy, Physiology, Imaging Techniques, and Mathematical Modeling, Springer-Birkhäuser, 2019.
  • T. A. Driscoll and B. Fornberg. Padé-based interpretation and correction of the Gibbs phenomenon. In Advances in the Gibbs Phenomenon, ed. by A. Jerri, Sigma Sampling Publishing, Potsdam, NY, 2007.
  • T. A. Driscoll and L. N. Trefethen. Numerical construction of conformal maps. Appendix to Fundamentals of Complex Analysis with Applications to Engineering, Science, and Mathematics, 3rd edition, by E. D. Saff and A. D. Snider, Prentice Hall, 2002.

Preprints

  • Driscoll, Tobin A., and Yuxing Zhou. Greedy Thiele Continued-Fraction Approximation on Continuum Domains in the Complex Plane. arXiv:2510.07295. Preprint, October 2025.
  • Driscoll, Tobin A. RationalFunctionApproximation.Jl: Rational Approximation On Discrete and Continuous Domains. arXiv:2512.06140. Preprint, arXiv, December 2025.
  • Chen, Q. and T. A. Driscoll and A. Roy. Operator learning for models of tear film breakup. Submitted to Applied Numerical Mathematics, 2025.

Refereed articles

Refereed proceedings and posters

  • Tichenor, A. A., P. Situ, T. A. Driscoll, C. G. Begley, and R. J. Braun. “Linking TBU Mechanisms and the Neurosensory Response in Dry Eye Subjects.” Investigative Ophthalmology & Visual Science 65, no. 7 (2024): 6572–6572.
  • Situ, P., A. A. Tichenor, T. A. Driscoll, C. G. Begley, and R. J. Braun. “Neurosensory Function Changes Induced by Tear Film Instability (TFI)-Related Stress in Dry Eye: A Pilot Study.” Investigative Ophthalmology & Visual Science 65, no. 7 (2024): 6566–6566.
  • Driscoll, T. A., A. A. Tichenor, P. Situ, R. J. Braun, and C. G. Begley. “Optimized Models of Tear Breakup (TBU) Mechanisms in Dry-Eye (DE) and Non-DE Subjects.” Investigative Ophthalmology & Visual Science 65, no. 7 (2024): 6559–6559.
  • R. J. Braun, T. Driscoll, C. Begley, P. Situ, A. Tichenor, and R. Luke, “Tear Breakup (TBU) Analysis with Fluorescence (FL) and Thermal (TH) imaging,” Investigative Ophthalmology & Visual Science, vol. 64, no. 8, pp. 186–186, Jun. 2023.
  • R. J. Braun, T. A. Driscoll et al., “Data and Analysis from Tear Breakup (TBU) in Normal Subjects,” Investigative Ophthalmology & Visual Science, vol. 63, no. 7, pp. 3950-A0230, Jun. 2022.
  • R. A. Luke et al., “Fitting Simplified Models to Machine Learning-Identified Tear Film Breakup,” in Investigative Ophthalmology & Visual Science, Jun. 2021, vol. 62, p. 1315.
  • R. J. Braun, L. Zhong, T. A. Driscoll, C. G. Begley, D. Antwi, P. E. King-Smith. Models for Tear Break Up Dynamics and Imaging. 7th European Conference on Computational Fluid Dynamics, 2018.
  • Joseph Brosch, T. A. Driscoll, Richard Braun. Simulation of Thin Film Equations on an Eye-Shaped Domain with Moving Boundary. APS March Meeting Abstracts, 2016.
  • Lan Zhong, C. F. Ketelaar, R. J. Braun, T. A. Driscoll, P. E. King-Smith, C. G. Begley. Mathematical Modeling of Glob-Driven Tear Film Breakup. Investigative Ophthalmology & Visual Science, 2016.
  • 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 (TBU). Bull. Amer. Physical Soc. 60: 68th Annual Meeting of the APS Division of Fluid Dynamics, Boston, 2015.
  • M. Stapf, R. J. Braun, C. G. Begley, T. A. Driscoll, and P. E. King-Smith. Modeling Tear Film Evaporation and Breakup with Duplex Films. Bull. Amer. Physical Soc. 60: 68th Annual Meeting of the APS Division of Fluid Dynamics Boston, 2015.
  • R. J. Braun, L. Li, W. Henshaw, T. A. Driscoll, and P. E. King-Smith. Solute Dynamics and Imaging in the Tear Film on an Eye-shaped Domain, Bull. Amer. Physical Soc. 60: 68th Annual Meeting of the APS Division of Fluid Dynamics, Boston, MA, 2015.
  • 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, Bull. Amer. Physical Soc. 60: 68th Annual Meeting of the APS Division of Fluid Dynamics, Boston, 2015.
  • M. McCulloch, G. Schleiniger, L. Chen, S. Gidding, and T. A. Driscoll. Data driven mathematical modeling of the single ventricle anatomy and physiology. Highlighted Poster (refereed), NISBRE IDeA Conference, 2014.
  • L. N. Trefethen and T. A. Driscoll. Schwarz–Christoffel mapping in the computer era. Proceedings of the International Congress of Mathematicians, Vol. III (Berlin, 1998). Doc. Math. 1998, Extra Vol. III, 533–542 (electronic).
  • G. Wojcik, B. Fornberg, R. Waag, J. Mould, T. A. Driscoll, and L. Nikodym. Pseudospectral methods for large-scale bioacoustic models. Proceedings of the 1997 IEEE Ultrasonics Symposium.

Software

  • T. A. Driscoll. RationalFunctionApproximation.jl. Approximation by rational functions on complex domains in Julia.
  • T. A. Driscoll. ComplexRegions.jl. Complex regions and paths in Julia.
  • L. N. Trefethen and others, Chebfun. (Major Driscoll contributions noted for the releases below.)
    • 2014: Version 5.0 (with many collaborators): Design and rewrite of software for object-oriented modularity.
    • 2011: Version 4.0 (with N. Hale): Rectangular formulations for robust ODE systems
    • 2009: Version 3.0 (with A. Birkisson): Automatic differentiation and solution for nonlinear operators
    • 2008: Version 2.0 (with F. Bornemann): Chebop, for automatic solutions of differential equations (BVP, eigenvalue, PDE)
  • T. A. Driscoll. Schwarz–Christoffel Toolbox for MATLAB
    • 2002: Module for solving Laplace’s equation with piecewise constant boundary conditions.
    • 2000: Object-oriented interface for polygons and maps.
    • 1996: Inclusion of CRDT algorithm for elongated regions.
    • 1994: Initial release.
  • See also my GitHub page.

Presentations

  • “Computational rational approximation of functions.” Plenary speaker, Annual meeting of the Australian Mathematical Society, La Trobe University, Australia. 2025
  • “Why your calculator is (slightly) lying—and why that’s OK.” Public lecture, Annual meeting of the Australian Mathematical Society, La Trobe University, Australia. 2025
  • “A software package for rational approximation.” Invited talk at Banff International Research Station, Banff, Alberta. 2025
  • “Numerical rational approximation in Julia, MATLAB, and Python.” Invited seminar at Harvard University. 2025
  • “RationalFunctionApproximation.jl.” JuliaCon 2025 contributed talk, Pittsburgh, PA. 2025
  • “Data-driven modeling and simulation of the human tear film.” Delaware Math Modeling Camp (for high-school students). 2025
  • “Modeling and simulation of the human tear film.” Colloquium at Temple University, Philadelphia, PA. 2024
  • “Data-driven modeling and simulation of the human tear film.” Delaware Math Modeling Camp (for high-school students). 2024
  • “The AAA algorithm in the complex plane.” Plenary speaker, Numerical Analysis in the 21st Century, University of Oxford. 2023
  • “Data-driven discovery of dynamics.” Delaware Data Science Symposium, University of Delaware. 2023
  • “Putting course notes online.” Seminar, University of Delaware. 2023
  • “Data-driven modeling and simulation of the human tear film.” Colloquium, Michigan Technological University, Houghton, MI. 2023
  • “AAA in the complex plane.” Invited seminar for the Complex Analysis Video Seminar (CAvid) 2023
  • “Analysis of tear-film breakup using fluorescence video recordings.” Colloquium at Appalachian State University. 2022
  • “Detection of tear film breakup using Julia.” JuliaCon 2021 contributed talk. 2021
  • “Simulation of tear film dynamics with blinking.” SIAM Annual Meeting, online. 2020
  • “Preconditioning nonlinear equations with domain decomposition.” AMS Eastern Sectional Meeting, University of Delaware. 2018
  • “Exploring differential equations using Chebfun.” SIAM Annual Meeting Minisymposium, Portland, OR. 2018
  • “Dynamics on a model blinking eye-shaped domain.” SIAM Annual Meeting Minisymposium, Portland, OR. 2018
  • “Mathematical and computational modeling of the tear film.” Center for Bioinformatics & Computational Biology Seminar, University of Delaware. 2017
  • “Dynamics on a model blinking eye-shaped domain.” SIAM Annual Meeting Minisymposium, Boston, 2016
  • “Data-driven systemic modeling of infant hypoplastic left heart syndrome.” Center for Cardiovascular Health Symposium, University of Delaware. 2015
  • “Flipping the classroom for numerical computation.” MathWorks Research Summit, Natick, MA. 2015
  • “Automatic multivariate approximation.” SIAM Computational Science and Engineering Conference Minisymposium, Salt Lake City, AZ. 2015
  • “An open-source software project for numerical conformal mapping.” Invited talk at the BIRS Workshop on Modern Applications of Complex Variables, Banff, Canada. 2015
  • “New directions in spectral methods.” Numerical Analysis Seminar, Cornell University. 2014
  • “Optimal splitting in spectral collocation.” Numerical Analysis Group Seminar, Universtiy of Oxford. 2013
  • “Numerical computing with functions.” Colloquium, Wichita State University. 2013
  • “Reflections on flipping a math classroom.” Summer Faculty Institute, University of Delaware. 2013
  • “Optimal splitting in spectral collocation.” Seminar, Arizona State University, Tempe, AZ. 2013
  • “Numerical computing with functions.” Colloquium, Temple University, Philadelphia, PA. 2012
  • “Chebfun beyond the ordinary (DE),” Chebfun and Beyond Workshop, University of Oxford. 2012
  • “Spectral deferred correction for time-dependent PDEs in Chebfun,” SIAM Annual Meeting minisymposium, Minneapolis 2012
  • “Chebfun for PDE,” Eigenvalues/singular values and fast PDE algorithms: acceleration, conditioning, and stability, Banff International Research Station, Banff, Alberta. 2012
  • “Optimal splitting in spectral collocation,” Del-Mar Numerical Analysis Day, University of Delaware. 2012
  • “Differential equations in Chebfun.” Seventh International Congress on Industrial and Applied Mathematics minisymposium, Vancouver, BC. 2011
  • “Rectangular projections for reliable spectral collocation,” Seventh International Congress on Industrial and Applied Mathematics minisymposium, Vancouver, BC. 2011
  • “Chebfun: A software system for interacting with functions,” NSF-CBMS Conference on Radial Basis Functions, Dartmouth, MA. 2011
  • “Approximation Theory, Spectral Methods, and Chebfun” (with L. N. Trefethen), Fifth annual Dobbiaco Summer School, Dobbiaco, Italy. 2011
  • “Automatic Fréchet differentiation for the spectral solution of boundary-value problems,” SIAM Annual Meeting minisymposium, Pittsburgh, PA. 2010
  • “Automatic solution of differential equations in the Chebfun system,” Annual Meeting of the Canadian Applied and Industrial Mathematics Society, University of Western Ontario. 2009
  • “Automatic solution of differential equations in the Chebfun system,” SIAM Southeastern-Atlantic Section Conference, University of South Carolina, 2009
  • “Automatic solution of differential equations in the Chebfun system,” Seminar at the Courant Institute, 2009
  • “Solving continuous differential equations numerically: Chebfun and chebop.” SIAM Annual Meeting, San Diego. 2008
  • “Least squares methods for conformal mapping and boundary value problems.” SIAM Annual Meeting, San Diego, CA. 2008
  • “Solving continuous differential equations numerically: Chebfun and chebop.” Seminar at the University of Manchester, Manchester, UK. 2008
  • “Solving continuous differential equations numerically: Chebfun and chebop.” Numerical Analysis Group Seminar, University of Oxford, 2008
  • “Solving continuous differential equations numerically: Chebfun and chebop.” Seminar at the University of Dundee, Dundee, UK. 2008
  • “Modeling and simulation of human tear film dynamics,” Colloquium, SUNY Buffalo. 2007
  • “Detection and approximation of jumps using complex-variable techniques.” 7th International Conference on Spectral and High-Order Methods (ICOSAHOM) minisymposium, Beijing, China. 2007
  • “Spectral least-squares for conformal mapping and potential theory.” Computational and Conformal Geometry Workshop, SUNY Stony Brook. 2007
  • “Radial basis function methods for meshless PDE computation,” Seminar, New Jersey Institute of Technology. 2007
  • “Radial basis function methods for meshless PDE computation,” Seminar at the Oxford University Computing Laboratory. 2007
  • “Conformal mapping 2.0,” Colloquium, Dartmouth College. 2006
  • “Developing a computational framework for conformal mapping,” SIAM Annual Meeting, Boston. 2006
  • “Optimal node placement for Gaussian radial basis function interpolation,” SIAM Annual Meeting, Boston. 2006
  • “Optimal node placement for Gaussian radial basis function interpolation,” Seminar, Tufts University. 2006
  • “SVD-based importance sampling for finding rare events in noisy optical transmission,” Rice University. 2004
  • “SVD-based importance sampling for an optics-based dynamical system,” SIAM Nonlinear Waves and Coherent Structures, University of Central Florida. 2004
  • “Schwarz–Christoffel maps to surfaces in space,” University of Maryland, Baltimore County. 2004
  • “High-order time stepping methods for electromagnetics,” Computational Electromagnetics workshop, Math. Forschungsinstitut Oberwolfach. 2004
  • “Solution of Laplace’s equation by conformal mapping.” Oxford University Computing Laboratory. 2003
  • “The EigTool system for exploring matrix eigenmode problems,” International Congress on Industrial and Applied Mathematics minisymposium, Sydney, Australia, 2003
  • “Numerical conformal mapping in 2003: A survey,” International Congress on Industrial and Applied Mathematics minisymposium, Sydney, Australia. 2003
  • “Overdetermined formulations for eigenmode problems,” International Congress on Industrial and Applied Mathematics minisymposium, Sydney, Australia. 2003
  • “Directed random walks and importance sampling for noisy optical communications,” IMACS Conference on Nonlinear Evolution Equations and Wave Phenomena, 2003
  • “Schwarz–Christoffel mapping in MATLAB.” European Microwave Week, Milan, Italy. 2002
  • “Use of the SVD for finding rare events in noisy optical communications.” SIAM Annual Meeting 2002
  • “Schwarz–Christoffel conformal mapping.” University of Delaware. 2002
  • “Significant perturbations of NLS from SVD analysis,” Northwestern University. 2002
  • “Significant perturbations of NLS from SVD analysis,” University of Maryland, Baltimore County. 2001
  • “Schwarz–Christoffel conformal mapping,” Plenary speaker at Computational Methods and Function Theory, University of Aveiro, Portugal. 2001
  • “Fast time stepping methods for semilinear evolution equations,” Northwestern University. 2001
  • “Wavenumber-dependent time stepping methods for semilinear evolution equations,” IMACS Conference on Nonlinear Waves minisymposium, University of Georgia, Athens, GA. 2001
  • “Radial basis functions for the simulation of PDEs.” 2000
    • Courant Institute
    • University of Delaware
    • Brown University
  • “High-order space and time methods for propagation problems.” 2000
    • University of California–Santa Barbara
    • University of Michigan
    • University of Delaware
  • “High-order space and time methods for propagation problems,” Georgia Institute of Technology. 1999
  • “An efficient spectral method for the solution of nonlinear wave equations.” Dundee Numerical Analysis Conference. 1999
  • “An efficient spectral method for the solution of nonlinear wave equations.” Colorado Days at Los Alamos National Laboratory. 1999
  • “Staggered time integrators for wave equations,” Oxford University Computing Laboratory. 1999
  • “Block pseudospectral methods for Maxwell’s equations in inhomogeneous media.” 1998
    • SIAM Annual Meeting
    • SIAM Conference on Wave Propagation
    • Los Alamos Days at Colorado
  • “Spectrally accurate summation of Fourier series for functions with jump discontinuities.” University of Colorado, Boulder. 1998
  • “Block pseudospectral methods for Maxwell’s equations in inhomogeneous media,” Oak Ridge National Laboratory seminar. 1998
  • “Schwarz–Christoffel mapping in MATLAB,” Seminar at the University of Tennessee, Knoxville. 1998
  • “Uses of the Berenger PML with psuedospectral methods for Maxwell’s equations.” Poster at IUTAM: Computational Methods for Unbounded Domains, Boulder, CO. 1997
  • “Numerical conformal mapping using cross-ratios and Delaunay triangulation.” Computational Methods and Function Theory. 1997
  • “Numerical conformal mapping using cross-ratios and Delaunay triangulation.” ISAAC Conference, University of Delaware. 1997
  • “Numerical conformal mapping using cross-ratios and Delaunay triangulation.” Lesile Fox Prize Competition, University of Dundee. 1997
  • “Eigenmodes of isospectral drums.” 1997
    • Colorado State University
    • Colorado School of Mines
    • University of Colorado, Denver
    • MIT
  • “Numerical conformal mapping using cross-ratios and Delaunay triangulation,” University of Colorado, Boulder, CO. 1996
  • “Schwarz–Christoffel mapping in MATLAB.” 1996
    • Wichita State University
    • University of Colorado
  • “Eigenmodes of isospectral drums.” 1995
    • MATLAB conference, Natick, MA
    • SIAM Annual Meeting
    • ICOSAHOM
    • Cornell University
  • “Conformal mapping and the convergence of Krylov iterations.” Colorado Conference on Iterative Methods, Breckenridge, CO. 1994
  • “Schwarz–Christoffel mapping in MATLAB.” 1994
    • Universität Karlsruhe
    • ETH, Zürich
  • “Pseudospectra of the wave operator with an absorbing boundar.” SIAM Annual Meeting contributed talk. 1993
  • “Schwarz–Christoffel mapping in MATLAB.” Cornell Numerical Analysis Day. 1993

Other works

  • T. A. Driscoll. Review of Elements of Scientific Computing, by Tveito, Langtangen, Nielsen, and Cai. SIAM Review 53, 807–808, 2011.
  • M. Hassner, D. V. Leykin, and T. A. Driscoll. An analytic model of MR/GMR head sensitivity function. IBM Research Report RJ 10167, 1999.
  • T. A. Driscoll. Review of Computational Conformal Mapping, by P. K. Kythe. SIAM Review 41 (1999), 832–834.
  • T. A. Driscoll. Uses of the Berenger PML in pseudospectral methods for Maxwell’s equations. Proceedings of the 1997 IUTAM Symposium on Computational Methods for Unbounded Domains, T. L. Geers, ed.
  • T. A. Driscoll. Domain Decomposition Methods for Conformal Mapping and Eigenvalue Problems. Ph.D. thesis, Center for Applied Mathematics, Cornell University, 1996.
  • T. A. Driscoll and B. Land. Vibrations of isospectral drums. Computer animation video produced at the Cornell Theory Center, 1995.
  • T. A. Driscoll. Schwarz–Christoffel Toolbox user’s guide. Cornell Computer Science Technical Report TR 94-1422, 1994.

Teaching

Graduate students supervised

  • Yuxing Zhou, Ph. D. in progress
  • Arnab Roy, Ph. D. candidate
  • Qinying Chen, Ph. D. expected 2026
  • Kevin Aiton, Ph.D., 2019
  • Shawn Abernethy, M.S. with thesis, 2013
  • Quan Deng, Ph.D., 2013
  • Alfa Heryudono, Ph.D., 2008
  • Rodrigo Platte, Ph.D., 2005

Philosophy

While I enjoy lecturing, I no longer believe it should be the only or even primary way of teaching most math classes. The marginal benefits of a live lecture over a recorded one are overshadowed by supervised active learning, where the instructor shares expertise with students as they wrestle with the material themselves. I use techniques such as problem-based learning, laboratory exploration, personal response systems, and flipping the classroom to create active learning opportunities. In addition, I believe mathematics needs to embrace teaching computation throughout the curriculum, rather than quarantining it into a few courses or lab sections.

Undergraduate courses

  • Introduction to data science (freshman/sophomore level)
  • Calculus A,B,C (including special section of Calculus A for life sciences majors)
  • Honors Calculus B
  • Linear algebra (math and engineering majors)
  • ODEs (math and engineering majors)
  • PDEs (math and engineering majors)
  • Computational mathematics (two-semester sequence)
  • Honors computational mathematics
  • Complex analysis

Graduate courses

  • Numerical linear algebra and nonlinear equations
  • Numerical ODEs/PDEs
  • Spectral/high-order methods for PDEs
  • Radial basis functions

Service activities

Department of Mathematical Sciences

  • Director of Graduate Studies (Delaware), 2011–2014
  • Director of Undergraduate Studies (Delaware), 2018–2021
  • Member of ad hoc committee to create the B.S. degree in Quantitative Biology
  • Initial proposer of B.S. degree in Applied Mathematics
  • Chaired ad hoc committee to create B.S. degree in Data Science
  • Created Math 219, Data Science I

College and university

  • Director of the Master of Science program in Data Science, 2023–2025
  • ADVANCE Fellow and Senior Fellow, 2020–2023
  • Faculty Senate Ad-Hoc Subcommittee on Promotion Criteria for Continuing Track Faculty, 2021–2022
  • University Strategic Planning Working Group on Redefining Creativity, Innovation and Entrepreneurship, 2021
  • Faculty Senate Promotion and Tenure Committee, 2018–2020 (Chair for 2019–2020)
  • Faculty Senate Undergraduate Studies Committee, 2008–2010
  • Arts & Sciences Educational Affairs Committee, 2004–2005

Profession

  • Editor-in-Chief of the SIAM book series on Software, Environments, and Tools, 2026–present
  • Communicating Editor of Advances in Computational Mathematics, 2019–present
  • At-Large Member of the SIAM Council, 2015–2018
  • Associate Editor of Journal of Engineering Mathematics, 2010–2015
  • Associate Editor of the SIAM Journal on Scientific Computing, 2008–2014
  • Organizing committee of Mathematical Problems in Industry, 2004 (Delaware)