Lloyd N. Trefethen

Publication Activity (10 Years)

Years Active: 1990-2024
Publications (10 Years): 43

Top Topics

Conformal Mapping

Approximation Error

Top Venues

SIAM J. Sci. Comput.

SIAM J. Numer. Anal.

Publications

Yidan Xue, Sarah L. Waters, Lloyd N. Trefethen
Computation of Two-Dimensional Stokes Flows via Lightning and AAA Rational Approximation. SIAM J. Sci. Comput. 46 (2) (2024)
Oscar P. Bruno, Manuel A. Santana, Lloyd N. Trefethen
Evaluation of Resonances via AAA Rational Approximation of Randomly Scalarized Boundary Integral Resolvents. CoRR (2024)
Tobin A. Driscoll, Yuji Nakatsukasa, Lloyd N. Trefethen
AAA Rational Approximation on a Continuum. SIAM J. Sci. Comput. 46 (2) (2024)
Daan Huybrechs, Lloyd N. Trefethen
Sigmoid functions and multiscale resolution of singularities. CoRR (2023)
Astrid Herremans, Daan Huybrechs, Lloyd N. Trefethen
Resolution of Singularities by Rational Functions. SIAM J. Numer. Anal. 61 (6) (2023)
Yidan Xue, Sarah L. Waters, Lloyd N. Trefethen
Computation of 2D Stokes flows via lightning and AAA rational approximation. CoRR (2023)
Lloyd N. Trefethen
Polynomial and rational convergence rates for Laplace problems on planar domains. CoRR (2023)
Toby Driscoll, Yuji Nakatsukasa, Lloyd N. Trefethen
AAA rational approximation on a continuum. CoRR (2023)
Astrid Herremans, Daan Huybrechs, Lloyd N. Trefethen
Resolution of singularities by rational functions. CoRR (2023)
Henry Ginn, Lloyd N. Trefethen
Lightning Helmholtz Solver. CoRR (2023)
Yuji Nakatsukasa, Olivier Sète, Lloyd N. Trefethen
The first five years of the AAA algorithm. CoRR (2023)
Lloyd N. Trefethen
Spectacularly large expansion coefficients in Müntz's theorem. CoRR (2022)
Daan Huybrechs, Lloyd N. Trefethen
AAA interpolation of equispaced data. CoRR (2022)
Lloyd N. Trefethen
Exactness of Quadrature Formulas. SIAM Rev. 64 (1) (2022)
Pablo D. Brubeck, Lloyd N. Trefethen
Lightning Stokes Solver. SIAM J. Sci. Comput. 44 (3) (2022)
Behnam Hashemi, Yuji Nakatsukasa, Lloyd N. Trefethen
Rectangular eigenvalue problems. Adv. Comput. Math. 48 (6) (2022)
Stefano Costa, Lloyd N. Trefethen
AAA-least squares rational approximation and solution of Laplace problems. CoRR (2021)
Yuji Nakatsukasa, Lloyd N. Trefethen
Reciprocal-Log Approximation and Planar PDE Solvers. SIAM J. Numer. Anal. 59 (6) (2021)
Peter J. Baddoo, Lloyd N. Trefethen
Log-lightning computation of capacity and Green's function. Maple Trans. 1 (1) (2021)
Behnam Hashemi, Yuji Nakatsukasa, Lloyd N. Trefethen
Rectangular eigenvalue problems. CoRR (2021)
Pablo D. Brubeck, Yuji Nakatsukasa, Lloyd N. Trefethen
Vandermonde with Arnoldi. SIAM Rev. 63 (2) (2021)
Lloyd N. Trefethen, Yuji Nakatsukasa, J. A. C. Weideman
Exponential node clustering at singularities for rational approximation, quadrature, and PDEs. Numerische Mathematik 147 (1) (2021)
Pablo D. Brubeck, Lloyd N. Trefethen
Lightning Stokes solver. CoRR (2021)
Lloyd N. Trefethen
Exactness of quadrature formulas. CoRR (2021)
Yuji Nakatsukasa, Lloyd N. Trefethen
An Algorithm for Real and Complex Rational Minimax Approximation. SIAM J. Sci. Comput. 42 (5) (2020)
Yuji Nakatsukasa, Lloyd N. Trefethen
Reciprocal-log approximation and planar PDE solvers. CoRR (2020)
Lloyd N. Trefethen
Eight Perspectives on the Exponentially Ill-Conditioned Equation ε y" - x y' + y = 0. SIAM Rev. 62 (2) (2020)
Lloyd N. Trefethen, Yuji Nakatsukasa, J. A. C. Weideman
Exponential node clustering at singularities for rational approximation, quadrature, and PDEs. CoRR (2020)
Pablo D. Brubeck, Yuji Nakatsukasa, Lloyd N. Trefethen
Vandermonde with Arnoldi. CoRR (2019)
Lloyd N. Trefethen
Quantifying the ill-conditioning of analytic continuation. CoRR (2019)
Abinand Gopal, Lloyd N. Trefethen
Solving Laplace Problems with Corner Singularities via Rational Functions. SIAM J. Numer. Anal. 57 (5) (2019)
Silviu-Ioan Filip, Aurya Javeed, Lloyd N. Trefethen
Smooth Random Functions, Random ODEs, and Gaussian Processes. SIAM Rev. 61 (1) (2019)
Abinand Gopal, Lloyd N. Trefethen
Representation of conformal maps by rational functions. Numerische Mathematik 142 (2) (2019)
Lloyd N. Trefethen
Numerical conformal mapping with rational functions. CoRR (2019)
Yuji Nakatsukasa, Lloyd N. Trefethen
An algorithm for real and complex rational minimax approximation. CoRR (2019)
Yuji Nakatsukasa, Olivier Sète, Lloyd N. Trefethen
The AAA Algorithm for Rational Approximation. SIAM J. Sci. Comput. 40 (3) (2018)
Silviu-Ioan Filip, Yuji Nakatsukasa, Lloyd N. Trefethen, Bernhard Beckermann
Rational Minimax Approximation via Adaptive Barycentric Representations. SIAM J. Sci. Comput. 40 (4) (2018)
Jared Lee Aurentz, Lloyd N. Trefethen
Block Operators and Spectral Discretizations. SIAM Rev. 59 (2) (2017)
Lloyd N. Trefethen
Cubature, Approximation, and Isotropy in the Hypercube. SIAM Rev. 59 (3) (2017)
Behnam Hashemi, Lloyd N. Trefethen
Chebfun in Three Dimensions. SIAM J. Sci. Comput. 39 (5) (2017)
Anthony P. Austin, Lloyd N. Trefethen
Trigonometric Interpolation and Quadrature in Perturbed Points. SIAM J. Numer. Anal. 55 (5) (2017)
Jared Lee Aurentz, Lloyd N. Trefethen
Chopping a Chebyshev Series. ACM Trans. Math. Softw. 43 (4) (2017)
Mohsin Javed, Lloyd N. Trefethen
Euler-Maclaurin and Gregory interpolants. Numerische Mathematik 132 (1) (2016)
Anthony P. Austin, Lloyd N. Trefethen
Computing Eigenvalues of Real Symmetric Matrices with Rational Filters in Real Arithmetic. SIAM J. Sci. Comput. 37 (3) (2015)
Lloyd N. Trefethen
Computing numerically with functions instead of numbers. Commun. ACM 58 (10) (2015)
Grady B. Wright, Mohsin Javed, Hadrien Montanelli, Lloyd N. Trefethen
Extension of Chebfun to Periodic Functions. SIAM J. Sci. Comput. 37 (5) (2015)
S. Jonathan Chapman, David P. Hewett, Lloyd N. Trefethen
Mathematics of the Faraday Cage. SIAM Rev. 57 (3) (2015)
Lloyd N. Trefethen, J. A. C. Weideman
The Exponentially Convergent Trapezoidal Rule. SIAM Rev. 56 (3) (2014)
Anthony P. Austin, Peter Kravanja, Lloyd N. Trefethen
Numerical Algorithms Based on Analytic Function Values at Roots of Unity. SIAM J. Numer. Anal. 52 (4) (2014)
Pedro Gonnet, Stefan Güttel, Lloyd N. Trefethen
Robust Padé Approximation via SVD. SIAM Rev. 55 (1) (2013)
Alex Townsend, Lloyd N. Trefethen
An Extension of Chebfun to Two Dimensions. SIAM J. Sci. Comput. 35 (6) (2013)
Marcus Webb, Lloyd N. Trefethen, Pedro Gonnet
Stability of Barycentric Interpolation Formulas for Extrapolation. SIAM J. Sci. Comput. 34 (6) (2012)
Rodrigo B. Platte, Lloyd N. Trefethen, Arno B. J. Kuijlaars
Impossibility of Fast Stable Approximation of Analytic Functions from Equispaced Samples. SIAM Rev. 53 (2) (2011)
Mark Richardson, Lloyd N. Trefethen
A Sinc Function Analogue of Chebfun. SIAM J. Sci. Comput. 33 (5) (2011)
Lloyd N. Trefethen
Is Gauss Quadrature Better than Clenshaw-Curtis? SIAM Rev. 50 (1) (2008)
Nicholas Hale, Nicholas J. Higham, Lloyd N. Trefethen
log(A), and Related Matrix Functions by Contour Integrals. SIAM J. Numer. Anal. 46 (5) (2008)
Nicholas Hale, Lloyd N. Trefethen
New Quadrature Formulas from Conformal Maps. SIAM J. Numer. Anal. 46 (2) (2008)
J. A. C. Weideman, Lloyd N. Trefethen
The kink phenomenon in Fejér and Clenshaw-Curtis quadrature. Numerische Mathematik 107 (4) (2007)
Lloyd N. Trefethen
Computing numerically with functions instead of numbers. SNC (2007)
Thomas Schmelzer, Lloyd N. Trefethen
Computing the Gamma Function Using Contour Integrals and Rational Approximations. SIAM J. Numer. Anal. 45 (2) (2007)
J. A. C. Weideman, Lloyd N. Trefethen
Parabolic and hyperbolic contours for computing the Bromwich integral. Math. Comput. 76 (259) (2007)
Lloyd N. Trefethen
Computing Numerically with Functions Instead of Numbers. Math. Comput. Sci. 1 (1) (2007)
T. W. Tee, Lloyd N. Trefethen
A Rational Spectral Collocation Method with Adaptively Transformed Chebyshev Grid Points. SIAM J. Sci. Comput. 28 (5) (2006)
Aly-Khan Kassam, Lloyd N. Trefethen
Fourth-Order Time-Stepping for Stiff PDEs. SIAM J. Sci. Comput. 26 (4) (2005)
Timo Betcke, Lloyd N. Trefethen
Reviving the Method of Particular Solutions. SIAM Rev. 47 (3) (2005)
Zachary Battles, Lloyd N. Trefethen
An Extension of MATLAB to Continuous Functions and Operators. SIAM J. Sci. Comput. 25 (5) (2004)
Jean-Paul Berrut, Lloyd N. Trefethen
Barycentric Lagrange Interpolation. SIAM Rev. 46 (3) (2004)
Lehel Banjai, Lloyd N. Trefethen
A Multipole Method for Schwarz-Christoffel Mapping of Polygons with Thousands of Sides. SIAM J. Sci. Comput. 25 (3) (2003)
Albrecht Böttcher, Mark Embree, Lloyd N. Trefethen
Piecewise Continuous Toeplitz Matrices and Operators: Slow Approach to Infinity. SIAM J. Matrix Anal. Appl. 24 (2) (2002)
Thomas G. Wright, Lloyd N. Trefethen
Large-Scale Computation of Pseudospectra Using ARPACK and Eigs. SIAM J. Sci. Comput. 23 (2) (2001)
Mark Embree, Lloyd N. Trefethen
Generalizing Eigenvalue Theorems to Pseudospectra Theorems. SIAM J. Sci. Comput. 23 (2) (2001)
Kim-Chuan Toh, Lloyd N. Trefethen
The Kreiss Matrix Theorem on a General Complex Domain. SIAM J. Matrix Anal. Appl. 21 (1) (1999)
Mark Embree, Lloyd N. Trefethen
Green's Functions for Multiply Connected Domains via Conformal Mapping. SIAM Rev. 41 (4) (1999)
Tobin A. Driscoll, Kim-Chuan Toh, Lloyd N. Trefethen
From Potential Theory to Matrix Iterations in Six Steps. SIAM Rev. 40 (3) (1998)
Kim-Chuan Toh, Lloyd N. Trefethen
The Chebyshev Polynomials of a Matrix. SIAM J. Matrix Anal. Appl. 20 (2) (1998)
D. Viswanath, Lloyd N. Trefethen
Condition Numbers of Random Triangular Matrices. SIAM J. Matrix Anal. Appl. 19 (2) (1998)
Lloyd N. Trefethen
Pseudospectra of Linear Operators. SIAM Rev. 39 (3) (1997)
Kim-Chuan Toh, Lloyd N. Trefethen
Calculation of Pseudospectra by the Arnoldi Iteration. SIAM J. Sci. Comput. 17 (1) (1996)
Satish C. Reddy, Lloyd N. Trefethen
Pseudospectra of the Convection-Diffusion Operator. SIAM J. Appl. Math. 54 (6) (1994)
Anne Greenbaum, Lloyd N. Trefethen
GMRES/CR and Arnoldi/Lanczos as Matrix Approximation Problems. SIAM J. Sci. Comput. 15 (2) (1994)
Noël M. Nachtigal, Satish C. Reddy, Lloyd N. Trefethen
How Fast are Nonsymmetric Matrix Iterations? SIAM J. Matrix Anal. Appl. 13 (3) (1992)
Noël M. Nachtigal, Lothar Reichel, Lloyd N. Trefethen
A Hybrid GMRES Algorithm for Nonsymmetric Linear Systems. SIAM J. Matrix Anal. Appl. 13 (3) (1992)
Louis H. Howell, Lloyd N. Trefethen
A Modified Schwarz-Christoffel Transformation for Elongated Regions. SIAM J. Sci. Comput. 11 (5) (1990)