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- Lloyd N. Trefethen, Anne E. Trefethen, S C Reddy, Tobin A. Driscoll
- Science
- 1993

Fluid flows that are smooth at low speeds become unstable and then turbulent at higher speeds. This phenomenon has traditionally been investigated by linearizing the equations of flow and testing for… (More)

- Tobin A. Driscoll
- ACM Trans. Math. Softw.
- 1996

The Schwarz-Christoffel transformation and its variations yield formulas for conformal maps from standard regions to the interiors or exteriors of possibly unbounded polygons. Computations involving… (More)

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 Korteweg–de Vries and nonlinear Schr ̈… (More)

- Tobin A. Driscoll, Stephen A. Vavasis
- SIAM J. Scientific Computing
- 1998

We propose a new algorithm for computing the Riemann mapping of the unit disk to a polygon, also known as the Schwarz-Christoffel transformation. The new algorithm, CRDT, is based on cross-ratios of… (More)

- Tobin A. Driscoll
- ACM Trans. Math. Softw.
- 2005

The Schwarz--Christoffel Toolbox (SC Toolbox) for MATLAB, first released in 1994, made possible the interactive creation and visualization of conformal maps to regions bounded by polygons. The most… (More)

- Tobin A. Driscoll, Bengt Fornberg
- Numerical Algorithms
- 2001

Truncated Fourier series and trigonometric interpolants converge slowly for functions with jumps in value or derivatives. The standard Fourier–Padé approximation, which is known to improve on the… (More)

- Rodrigo B. Platte, Tobin A. Driscoll
- Computers & Mathematics with Applications
- 2006

Differentiation matrices obtained with infinitely smooth radial basis function (RBF) collocation methods have, under many conditions, eigenvalues with positive real part, preventing the use of such… (More)

- Tobin A. Driscoll
- SIAM Review
- 1997

Recently it was proved that there exist nonisometric planar regions that have identical Laplace spectra. That is, one cannot “hear the shape of a drum.” The simplest isospectral regions known are… (More)

Many types of radial basis functions, such as multiquadrics, contain a free parameter. In the limit where the basis functions become increasingly flat, the linear system to solve becomes highly… (More)

- Asgeir Birkisson, Tobin A. Driscoll
- ACM Trans. Math. Softw.
- 2012

A new solver for nonlinear boundary-value problems (BVPs) in Matlab is presented, based on the Chebfun software system for representing functions and operators automatically as numerical objects. The… (More)