According to our database
1,
Lloyd N. Trefethen
authored at least 75 papers
between 1982 and 2024.
Collaborative distances:
2024
AAA Rational Approximation on a Continuum.
SIAM J. Sci. Comput., 2024
2023
Resolution of Singularities by Rational Functions.
SIAM J. Numer. Anal., December, 2023
The first five years of the AAA algorithm.
CoRR, 2023
Polynomial and rational convergence rates for Laplace problems on planar domains.
CoRR, 2023
Lightning Helmholtz Solver.
CoRR, 2023
Computation of 2D Stokes flows via lightning and AAA rational approximation.
CoRR, 2023
AAA rational approximation on a continuum.
CoRR, 2023
Sigmoid functions and multiscale resolution of singularities.
CoRR, 2023
2022
SIAM J. Sci. Comput., 2022
Exactness of Quadrature Formulas.
SIAM Rev., 2022
Spectacularly large expansion coefficients in Müntz's theorem.
CoRR, 2022
AAA interpolation of equispaced data.
CoRR, 2022
Rectangular eigenvalue problems.
Adv. Comput. Math., 2022
2021
Vandermonde with Arnoldi.
SIAM Rev., 2021
Reciprocal-Log Approximation and Planar PDE Solvers.
SIAM J. Numer. Anal., 2021
Exponential node clustering at singularities for rational approximation, quadrature, and PDEs.
Numerische Mathematik, 2021
Log-lightning computation of capacity and Green's function.
Maple Trans., 2021
AAA-least squares rational approximation and solution of Laplace problems.
CoRR, 2021
2020
An Algorithm for Real and Complex Rational Minimax Approximation.
SIAM J. Sci. Comput., 2020
Eight Perspectives on the Exponentially Ill-Conditioned Equation ε y" - x y' + y = 0.
SIAM Rev., 2020
2019
Smooth Random Functions, Random ODEs, and Gaussian Processes.
SIAM Rev., 2019
Solving Laplace Problems with Corner Singularities via Rational Functions.
SIAM J. Numer. Anal., 2019
Representation of conformal maps by rational functions.
Numerische Mathematik, 2019
Numerical conformal mapping with rational functions.
CoRR, 2019
Quantifying the ill-conditioning of analytic continuation.
CoRR, 2019
2018
The AAA Algorithm for Rational Approximation.
SIAM J. Sci. Comput., 2018
Rational Minimax Approximation via Adaptive Barycentric Representations.
SIAM J. Sci. Comput., 2018
SIAM, ISBN: 978-1-61197-515-4, 2018
2017
Chopping a Chebyshev Series.
ACM Trans. Math. Softw., 2017
Chebfun in Three Dimensions.
SIAM J. Sci. Comput., 2017
Cubature, Approximation, and Isotropy in the Hypercube.
SIAM Rev., 2017
Block Operators and Spectral Discretizations.
SIAM Rev., 2017
Trigonometric Interpolation and Quadrature in Perturbed Points.
SIAM J. Numer. Anal., 2017
2016
Euler-Maclaurin and Gregory interpolants.
Numerische Mathematik, 2016
2015
Extension of Chebfun to Periodic Functions.
SIAM J. Sci. Comput., 2015
Computing Eigenvalues of Real Symmetric Matrices with Rational Filters in Real Arithmetic.
SIAM J. Sci. Comput., 2015
Mathematics of the Faraday Cage.
SIAM Rev., 2015
2014
The Exponentially Convergent Trapezoidal Rule.
SIAM Rev., 2014
Numerical Algorithms Based on Analytic Function Values at Roots of Unity.
SIAM J. Numer. Anal., 2014
2013
An Extension of Chebfun to Two Dimensions.
SIAM J. Sci. Comput., 2013
Robust Padé Approximation via SVD.
SIAM Rev., 2013
2012
Stability of Barycentric Interpolation Formulas for Extrapolation.
SIAM J. Sci. Comput., 2012
Approximation Theory and Approximation Practice.
SIAM, ISBN: 978-1-611-97239-9, 2012
2011
A Sinc Function Analogue of Chebfun.
SIAM J. Sci. Comput., 2011
Impossibility of Fast Stable Approximation of Analytic Functions from Equispaced Samples.
SIAM Rev., 2011
2008
Is Gauss Quadrature Better than Clenshaw-Curtis?
SIAM Rev., 2008
New Quadrature Formulas from Conformal Maps.
SIAM J. Numer. Anal., 2008
Computing A<sup>Alpha, </sup> log(A), and Related Matrix Functions by Contour Integrals.
SIAM J. Numer. Anal., 2008
2007
Computing the Gamma Function Using Contour Integrals and Rational Approximations.
SIAM J. Numer. Anal., 2007
The kink phenomenon in Fejér and Clenshaw-Curtis quadrature.
Numerische Mathematik, 2007
Parabolic and hyperbolic contours for computing the Bromwich integral.
Math. Comput., 2007
Computing Numerically with Functions Instead of Numbers.
Math. Comput. Sci., 2007
2006
A Rational Spectral Collocation Method with Adaptively Transformed Chebyshev Grid Points.
SIAM J. Sci. Comput., 2006
2005
Fourth-Order Time-Stepping for Stiff PDEs.
SIAM J. Sci. Comput., 2005
Reviving the Method of Particular Solutions.
SIAM Rev., 2005
2004
An Extension of MATLAB to Continuous Functions and Operators.
SIAM J. Sci. Comput., 2004
Barycentric Lagrange Interpolation.
SIAM Rev., 2004
2003
A Multipole Method for Schwarz-Christoffel Mapping of Polygons with Thousands of Sides.
SIAM J. Sci. Comput., 2003
2002
Piecewise Continuous Toeplitz Matrices and Operators: Slow Approach to Infinity.
SIAM J. Matrix Anal. Appl., 2002
2001
Large-Scale Computation of Pseudospectra Using ARPACK and Eigs.
SIAM J. Sci. Comput., 2001
Generalizing Eigenvalue Theorems to Pseudospectra Theorems.
SIAM J. Sci. Comput., 2001
1999
Green's Functions for Multiply Connected Domains via Conformal Mapping.
SIAM Rev., 1999
The Kreiss Matrix Theorem on a General Complex Domain.
SIAM J. Matrix Anal. Appl., 1999
1998
Condition Numbers of Random Triangular Matrices.
SIAM J. Matrix Anal. Appl., April, 1998
From Potential Theory to Matrix Iterations in Six Steps.
SIAM Rev., 1998
The Chebyshev Polynomials of a Matrix.
SIAM J. Matrix Anal. Appl., 1998
1997
Pseudospectra of Linear Operators.
SIAM Rev., 1997
Numerical linear algebra.
SIAM, ISBN: 978-0-89871-361-9, 1997
1996
Calculation of Pseudospectra by the Arnoldi Iteration.
SIAM J. Sci. Comput., 1996
1994
GMRES/CR and Arnoldi/Lanczos as Matrix Approximation Problems.
SIAM J. Sci. Comput., 1994
Pseudospectra of the Convection-Diffusion Operator.
SIAM J. Appl. Math., 1994
1992
A Hybrid GMRES Algorithm for Nonsymmetric Linear Systems.
SIAM J. Matrix Anal. Appl., 1992
How Fast are Nonsymmetric Matrix Iterations?
SIAM J. Matrix Anal. Appl., 1992
1990
A Modified Schwarz-Christoffel Transformation for Elongated Regions.
SIAM J. Sci. Comput., 1990
1982
Wave propagation and stability for finite difference schemes.
PhD thesis, 1982
