The Mathematical Institute, University of Oxford, Eprints Archive

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Number of items: 57.

Article

Hale, Nicholas and Trefethen, Lloyd N. (2012) Chebfun and Numerical Quadrature. Science in China Mathematics Series A . (Submitted)

Technical Report

Townsend, Alex and Trefethen, Lloyd N. (2014) Continuous analogues of matrix factorizations. Technical Report. SIAM Review. (Submitted)

Trefethen, Lloyd N. and Weideman, J. A. C. (2013) The exponentially convergent trapezoidal rule. Technical Report. SIAM. (Submitted)

Javed, Mohsin and Trefethen, Lloyd N. (2013) A trapezoidal rule error bound unifying the Euler–Maclaurin formula and geometric convergence for periodic functions. Technical Report. Proceedings of the Royal Society A. (Submitted)

Austin, Anthony P. and Kravanja, Peter and Trefethen, Lloyd N. (2013) Numerical algorithms based on analytic function values at roots of unity. Technical Report. SINUM. (Submitted)

Townsend, Alex and Trefethen, Lloyd N. (2013) An extension of Chebfun to two dimensions. Technical Report. SISC. (Submitted)

Townsend, Alex and Trefethen, Lloyd N. (2013) Gaussian elimination as an iterative algorithm. Technical Report. SIAM. (Submitted)

Hale, Nicholas and Trefethen, Lloyd N. (2012) Chebfun and numerical quadrature. Technical Report. Science in China A. (Submitted)

Gonnet, Pedro and Guettel, Stefan and Trefethen, Lloyd N. (2011) Robust Padé approximation via SVD. Technical Report. SIAM review. (Submitted)

Webb, Marcus and Trefethen, Lloyd N. and Gonnet, Pedro (2011) Stability of barycentric interpolation formulas. Technical Report. SISC J. Sci. Comp. (Submitted)

Trefethen, Lloyd N. (2011) Six myths of polynomial interpolation and quadrature. Technical Report. Mathematics Today. (Submitted)

Richardson, Mark and Trefethen, Lloyd N. (2011) A sinc function analogue of chebfun. Technical Report. SIAM. (Submitted)

Gonnet, Pedro and Pachon, Ricardo and Trefethen, Lloyd N. (2011) Robust rational interpolation and least-squares. Technical Report. ETNA. (Submitted)

Trefethen, Lloyd N. (2011) Ten Digit Problems. Technical Report. Springer. (Submitted)

van Deun, Joris and Trefethen, Lloyd N. (2010) A robust implementation of the Carathéodory-Fejér method. Technical Report. Springer. (Submitted)

Platte, Rodrigo B. and Trefethen, Lloyd N. and Kuijlaars, Arno B. (2009) Impossibility of approximating analytic functions from equispaced samples. Technical Report. SIAM Review. (Submitted)

Pachon, Ricardo and Trefethen, Lloyd N. (2008) Barycentric-Remez algorithms for best polynomial approximation in the chebfun system. Technical Report. BIT Numerical Mathematics (Springer). (Submitted)

Platte, Rodrigo B. and Trefethen, Lloyd N. (2008) Chebfun: A New Kind of Numerical Computing. Technical Report. Unspecified. (Submitted)

Trefethen, Lloyd N. (2008) Householder triangularization of a quasimatrix. Technical Report. Unspecified. (Submitted)

Driscoll, Tobin A. and Bornemann, Folkmar and Trefethen, Lloyd N. (2008) The chebop system for automatic solution of differential equations. Technical Report. Unspecified. (Submitted)

Pachon, Ricardo and Platte, Rodrigo B. and Trefethen, Lloyd N. (2008) Piecewise smooth chebfuns. Technical Report. Unspecified. (Submitted)

Hale, Nicholas and Higham, Nicholas J. and Trefethen, Lloyd N. (2007) Computing Aα, log(A) and related matrix functions by contour integrals. Technical Report. Unspecified. (Submitted)

Hale, Nicholas and Trefethen, Lloyd N. (2007) New quadrature formulas from conformal maps. Technical Report. Unspecified. (Submitted)

Schmelzer, Thomas and Trefethen, Lloyd N. (2006) Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals. Technical Report. Unspecified. (Submitted)

Weideman, J. A. C. and Trefethen, Lloyd N. (2006) The Kink Phenomenon in Fejér and Clenshaw-Curtis Quadrature. Technical Report. Unspecified. (Submitted)

Trefethen, Lloyd N. (2006) Is Gauss quadrature better than Clenshaw-Curtis? Technical Report. Unspecified. (Submitted)

Trefethen, Lloyd N. (2006) Numerical Analysis. Technical Report. Princeton University Press. (Submitted)

Schmelzer, Thomas and Trefethen, Lloyd N. (2005) Computing the Gamma function using contour integrals and rational approximations. Technical Report. Unspecified. (Submitted)

Weideman, J. A. C. and Trefethen, Lloyd N. (2005) Parabolic and Hyperbolic Contours for Computing the Bromwich Integral. Technical Report. Unspecified. (Submitted)

Tee, T. W. and Trefethen, Lloyd N. (2005) A rational spectral collocation method with adaptively transformed Chebyshev grid points. Technical Report. Unspecified. (Submitted)

Trefethen, Lloyd N. and Weideman, J. A. C. and Schmelzer, Thomas (2005) Talbot quadratures and rational approximations. Technical Report. Unspecified. (Submitted)

Trefethen, Lloyd N. and Betcke, Timo (2005) Computed eigenmodes of planar regions. Technical Report. Unspecified. (Submitted)

Trefethen, Lloyd N. (2005) Ten Digit Algorithms. Technical Report. Unspecified. (Submitted)

Betcke, Timo and Trefethen, Lloyd N. (2004) Computations of eigenvalue avoidance in planar domains. Technical Report. Unspecified. (Submitted)

Trefethen, Lloyd N. (2004) Wave Packet Pseudomodes of Variable Coefficient Differential Operators. Technical Report. Unspecified. (Submitted)

Kassam, Aly-Khan and Trefethen, Lloyd N. (2003) Fourth-order time stepping for stiff PDEs. Technical Report. Unspecified. (Submitted)

Betcke, Timo and Trefethen, Lloyd N. (2003) Reviving the Method of Particular Solutions. Technical Report. Unspecified. (Submitted)

Battels, Zachary and Trefethen, Lloyd N. (2003) An extension of MATLAB to continuous functions and operators. Technical Report. Unspecified. (Submitted)

Trefethen, Lloyd N. and Chapman, S. J. (2002) Wave packet pseudomodes of twisted Toeplitz matrices. Technical Report. Unspecified. (Submitted)

Berrut, Jean-Paul and Trefethen, Lloyd N. (2002) Barycentric Lagrange Interpolation. Technical Report. Unspecified. (Submitted)

Banjai, Lehel and Trefethen, Lloyd N. (2002) A multipole method for Schwarz-Christoffel mapping of polygons with thousands of sides. Technical Report. Unspecified. (Submitted)

Meseguer, A. and Trefethen, Lloyd N. (2002) Linearized pipe flow to Reynolds number $10^7$. Technical Report. Unspecified. (Submitted)

Banjai, Lehel and Trefethen, Lloyd N. (2001) Numerical solution of the omitted area problem of univalent function theory. Technical Report. Unspecified. (Submitted)

Meseguer, A. and Trefethen, Lloyd N. (2001) A spectral Petrov-Galerkin formulation for pipe flow II: Nonlinear transitional stages. Technical Report. Unspecified. (Submitted)

Wright, Thomas G. and Trefethen, Lloyd N. (2001) Eigenvalues and Pseudospectra of Rectangular Matrices. Technical Report. Unspecified. (Submitted)

Meseguer, A. and Trefethen, Lloyd N. (2000) A spectral Petrov-Galerkin formulation for pipe flow I: Linear stability and transient growth. Technical Report. Unspecified. (Submitted)

Boettcher, A. and Embree, Mark and Trefethen, Lloyd N. (2000) Piecewise continuous Toeplitz matrices and operators: slow approach to infinity. Technical Report. Unspecified. (Submitted)

Embree, Mark and Trefethen, Lloyd N. (2000) Generalizing Eigenvalue Theorems to Pseudospectra Theorems. Technical Report. Unspecified. (Submitted)

Wright, Thomas G. and Trefethen, Lloyd N. (2000) Large-scale computation of pseudospectra using ARPACK and eigs. Technical Report. Unspecified. (Submitted)

Trefethen, Lloyd N. and Chapman, S. J. and Henningson, Dan S. and Meseguer, A. and Mullin, Tom and Nieuwstadt , F. T. M. (2000) Threshold amplitudes for transition to turbulence in a pipe. Technical Report. Unspecified. (Submitted)

Trefethen, Lloyd N. and Contedini, Marco and Embree, Mark (2000) Spectra, pseudospectra, and localization for random bidiagonal matrices. Technical Report. Unspecified. (Submitted)

Wright, Thomas G. and Trefethen, Lloyd N. (2000) Computing Lyapunov constants for random recurrences with smooth coefficients. Technical Report. Unspecified. (Submitted)

Trefethen, Lloyd N. (1999) Computation of Pseudospectra. Technical Report. Acta Numerica. (Submitted)

Embree, Mark and Trefethen, Lloyd N. (1998) Green's functions for multiply connected domains via conformal mapping. Technical Report. SIAM. (Submitted)

Trefethen, Lloyd N. (1998) Predictions for Scientific Computing Fifty Years from Now. Technical Report. Unspecified. (Submitted)

Howle, V. E. and Trefethen, Lloyd N. (1997) Eigenvalues and Musical Instruments. Technical Report. Unspecified. (Submitted)

Jonsson, Gudbjorn F. and Trefethen, Lloyd N. (1997) A Numerical Analyst Looks at the "Cutoff Phenomenon" in Card Shuffling and Other Markov Chains. Technical Report. Unspecified. (Submitted)

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