Search Results - "Driscoll, Tobin A."

Automatic spectral collocation for integral, integro-differential, and integrally reformulated differential equations by Driscoll, Tobin A.

“…Automatic Chebyshev spectral collocation methods for Fredholm and Volterra integral and integro-differential equations have been implemented as part of the…”
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Dynamics and mechanisms for tear breakup (TBU) on the ocular surface by Braun, Richard J., Luke, Rayanne A., Driscoll, Tobin A., Begley, Carolyn G.

“…The human tear film is rapidly established after each blink, and is essential for clear vision and eye health. This paper reviews mathematical models and…”
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On tear film breakup (TBU): dynamics and imaging by Braun, Richard J, Driscoll, Tobin A, Begley, Carolyn G, King-Smith, P Ewen, Siddique, Javed I

“…Abstract We report the results of some recent experiments to visualize tear film dynamics. We then study a mathematical model for tear film thinning and tear…”
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Evaporation-driven tear film thinning and breakup in two space dimensions by Chen, Qinying, Driscoll, Tobin A., Braun, R. J.

“…Evaporation profiles have a strong effect on tear film thinning and breakup (TBU), a key factor in dry eye disease (DED). In experiments, TBU is typically seen…”
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Searching for Rare Growth Factors Using Multicanonical Monte Carlo Methods by Driscoll, Tobin A., Maki, Kara L.

“…The growth factor of a matrix quantifies the amount of potential error growth possible when a linear system is solved using Gaussian elimination with row…”
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Hydrodynamic Stability Without Eigenvalues by Trefethen, Lloyd N., Trefethen, Anne E., Reddy, Satish C., Driscoll, Tobin A.

“…Fluid flows that are smooth at low speeds become unstable and then turbulent at higher speeds. This phenomenon has traditionally been investigated by…”
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The effect of the small-aspect-ratio approximation on canonical electrostatic MEMS models by Pelesko, John A., Driscoll, Tobin A.

“…The mathematical modeling and analysis of electrostatically actuated micro- and nanoelectromechanical systems (MEMS and NEMS) has typically relied upon…”
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Parameter Estimation for Mixed-Mechanism Tear Film Thinning by Luke, Rayanne A., Braun, Richard J., Driscoll, Tobin A., Awisi-Gyau, Deborah, Begley, Carolyn G.

“…Etiologies of tear breakup include evaporation-driven, divergent flow-driven, and a combination of these two. A mathematical model incorporating evaporation…”
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A Transformative Model for Undergraduate Quantitative Biology Education by Usher, David C, Driscoll, Tobin A, Dhurjati, Prasad, Pelesko, John A, Rossi, Louis F, Schleiniger, Gilberto, Pusecker, Kathleen, White, Harold B

“…The "BIO2010" report recommended that students in the life sciences receive a more rigorous education in mathematics and physical sciences. The University of…”
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Parameter Estimation for Evaporation-Driven Tear Film Thinning by Luke, Rayanne A., Braun, Richard J., Driscoll, Tobin A., Begley, Carolyn G., Awisi-Gyau, Deborah

“…Many parameters affect tear film thickness and fluorescent intensity distributions over time; exact values or ranges for some are not well known. We conduct…”
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Adaptive residual subsampling methods for radial basis function interpolation and collocation problems by Driscoll, Tobin A., Heryudono, Alfa R.H.

“…We construct a new adaptive algorithm for radial basis functions (RBFs) method applied to interpolation, boundary-value, and initial-boundary-value problems…”
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The chebop system for automatic solution of differential equations by Driscoll, Tobin A., Bornemann, Folkmar, Trefethen, Lloyd N.

“…In Matlab , it would be good to be able to solve a linear differential equation by typing u = L\f, where f, u, and L are representations of the right-hand…”
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From Potential Theory to Matrix Iterations in Six Steps by Driscoll, Tobin A., Toh, Kim-Chuan, Trefethen, Lloyd N.

“…The theory of the convergence of Krylov subspace iterations for linear systems of equations (conjugate gradients, biconjugate gradients, GMRES, QMR, Bi-CGSTAB,…”
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Computed tear film and osmolarity dynamics on an eye-shaped domain by Li, Longfei, Braun, Richard J, Driscoll, Tobin A, Henshaw, William D, Banks, Jeffrey W, King-Smith, P Ewen

“…The concentration of ions, or osmolarity, in the tear film is a key variable in understanding dry eye symptoms and disease. In this manuscript, we derive a…”
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OPTIMAL DOMAIN SPLITTING FOR INTERPOLATION BY CHEBYSHEV POLYNOMIALS by DRISCOLL, TOBIN A., WEIDEMAN, J. A. C.

“…Polynomial interpolants defined using Chebyshev extreme points as nodes converge uniformly at a geometric rate when sampling a function that is analytic on an…”
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Staggered time integrators for wave equations by GHRIST, Michelle, FORNBERG, Bengt, DRISCOLL, Tobin A

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Schwarz-Christoffel Mapping by Driscoll, Tobin A., Trefethen, Lloyd N.

“…This book provides a comprehensive look at the Schwarz-Christoffel transformation, including its history and foundations, practical computation, common and…”
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Radial Basis Function Interpolation on Irregular Domain through Conformal Transplantation by Heryudono, Alfa R. H., Driscoll, Tobin A.

“…In this paper, Radial Basis Function (RBF) method for interpolating two dimensional functions with localized features defined on irregular domain is presented…”
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A Fast Spectral Algorithm for Nonlinear Wave Equations with Linear Dispersion by Fornberg, Bengt, Driscoll, Tobin A.

“…Spectral algorithms offer very high spatial resolution for a wide range of nonlinear wave equations on periodic domains, including well-known cases such as the…”
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Polynomials and Potential Theory for Gaussian Radial Basis Function Interpolation by Platte, Rodrigo B., Driscoll, Tobin A.

“…We explore a connection between Gaussian radial basis functions and polynomials. Using standard tools of potential theory, we find that these radial functions…”
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