Wave propagation and stability for finite difference schemes. - Lloyd N. Trefethen (1982)

A Modified Schwarz-Christoffel Transformation for Elongated Regions. - Louis H. Howell; Lloyd N. Trefethen (SIAM J. Sci. Comput., 1990)

How Fast are Nonsymmetric Matrix Iterations? - Noël M. Nachtigal; Satish C. Reddy; Lloyd N. Trefethen (SIAM J. Matrix Anal. Appl., 1992)

A Hybrid GMRES Algorithm for Nonsymmetric Linear Systems. - Noël M. Nachtigal; Lothar Reichel; Lloyd N. Trefethen (SIAM J. Matrix Anal. Appl., 1992)

Pseudospectra of the Convection-Diffusion Operator. - Satish C. Reddy; Lloyd N. Trefethen (SIAM J. Appl. Math., 1994)

GMRES/CR and Arnoldi/Lanczos as Matrix Approximation Problems. - Anne Greenbaum; Lloyd N. Trefethen (SIAM J. Sci. Comput., 1994)

Calculation of Pseudospectra by the Arnoldi Iteration. - Kim-Chuan Toh; Lloyd N. Trefethen (SIAM J. Sci. Comput., 1996)

Numerical linear algebra. - Lloyd N. Trefethen; David Bau (SIAM, 1997)

Pseudospectra of Linear Operators. - Lloyd N. Trefethen (SIAM Rev., 1997)

The Chebyshev Polynomials of a Matrix. - Kim-Chuan Toh; Lloyd N. Trefethen (SIAM J. Matrix Anal. Appl., 1998)

From Potential Theory to Matrix Iterations in Six Steps. - Tobin A. Driscoll; Kim-Chuan Toh; Lloyd N. Trefethen (SIAM Rev., 1998)

Condition Numbers of Random Triangular Matrices. - D. Viswanath; Lloyd N. Trefethen (SIAM J. Matrix Anal. Appl., 1998)

The Kreiss Matrix Theorem on a General Complex Domain. - Kim-Chuan Toh; Lloyd N. Trefethen (SIAM J. Matrix Anal. Appl., 1999)

Green's Functions for Multiply Connected Domains via Conformal Mapping. - Mark Embree; Lloyd N. Trefethen (SIAM Rev., 1999)

Generalizing Eigenvalue Theorems to Pseudospectra Theorems. - Mark Embree; Lloyd N. Trefethen (SIAM J. Sci. Comput., 2001)

Large-Scale Computation of Pseudospectra Using ARPACK and Eigs. - Thomas G. Wright; Lloyd N. Trefethen (SIAM J. Sci. Comput., 2001)

Piecewise Continuous Toeplitz Matrices and Operators: Slow Approach to Infinity. - Albrecht Böttcher; Mark Embree; Lloyd N. Trefethen (SIAM J. Matrix Anal. Appl., 2002)

A Multipole Method for Schwarz-Christoffel Mapping of Polygons with Thousands of Sides. - Lehel Banjai; Lloyd N. Trefethen (SIAM J. Sci. Comput., 2003)

Barycentric Lagrange Interpolation. - Jean-Paul Berrut; Lloyd N. Trefethen (SIAM Rev., 2004)

An Extension of MATLAB to Continuous Functions and Operators. - Zachary Battles; Lloyd N. Trefethen (SIAM J. Sci. Comput., 2004)

Reviving the Method of Particular Solutions. - Timo Betcke; Lloyd N. Trefethen (SIAM Rev., 2005)

Fourth-Order Time-Stepping for Stiff PDEs. - Aly-Khan Kassam; Lloyd N. Trefethen (SIAM J. Sci. Comput., 2005)

A Rational Spectral Collocation Method with Adaptively Transformed Chebyshev Grid Points. - T. W. Tee; Lloyd N. Trefethen (SIAM J. Sci. Comput., 2006)

Parabolic and hyperbolic contours for computing the Bromwich integral. - J. A. C. Weideman; Lloyd N. Trefethen (Math. Comput., 2007)

The kink phenomenon in Fejér and Clenshaw-Curtis quadrature. - J. A. C. Weideman; Lloyd N. Trefethen (Numerische Mathematik, 2007)

Computing the Gamma Function Using Contour Integrals and Rational Approximations. - Thomas Schmelzer; Lloyd N. Trefethen (SIAM J. Numer. Anal., 2007)

Computing AAlpha, log(A), and Related Matrix Functions by Contour Integrals. - Nicholas Hale; Nicholas J. Higham; Lloyd N. Trefethen (SIAM J. Numer. Anal., 2008)

New Quadrature Formulas from Conformal Maps. - Nicholas Hale; Lloyd N. Trefethen (SIAM J. Numer. Anal., 2008)

Is Gauss Quadrature Better than Clenshaw-Curtis? - Lloyd N. Trefethen (SIAM Rev., 2008)

Impossibility of Fast Stable Approximation of Analytic Functions from Equispaced Samples. - Rodrigo B. Platte; Lloyd N. Trefethen; Arno B. J. Kuijlaars (SIAM Rev., 2011)

A Sinc Function Analogue of Chebfun. - Mark Richardson; Lloyd N. Trefethen (SIAM J. Sci. Comput., 2011)

Approximation Theory and Approximation Practice. - Lloyd N. Trefethen (SIAM, 2012)

Stability of Barycentric Interpolation Formulas for Extrapolation. - Marcus Webb; Lloyd N. Trefethen; Pedro Gonnet (SIAM J. Sci. Comput., 2012)

Robust Padé Approximation via SVD. - Pedro Gonnet; Stefan Güttel; Lloyd N. Trefethen (SIAM Rev., 2013)

An Extension of Chebfun to Two Dimensions. - Alex Townsend; Lloyd N. Trefethen (SIAM J. Sci. Comput., 2013)

Numerical Algorithms Based on Analytic Function Values at Roots of Unity. - Anthony P. Austin; Peter Kravanja; Lloyd N. Trefethen (SIAM J. Numer. Anal., 2014)

The Exponentially Convergent Trapezoidal Rule. - Lloyd N. Trefethen; J. A. C. Weideman (SIAM Rev., 2014)

Computing numerically with functions instead of numbers. - Lloyd N. Trefethen (Commun. ACM, 2015)

Mathematics of the Faraday Cage. - S. Jonathan Chapman; David P. Hewett; Lloyd N. Trefethen (SIAM Rev., 2015)

Computing Eigenvalues of Real Symmetric Matrices with Rational Filters in Real Arithmetic. - Anthony P. Austin; Lloyd N. Trefethen (SIAM J. Sci. Comput., 2015)

Extension of Chebfun to Periodic Functions. - Grady B. Wright; Mohsin Javed; Hadrien Montanelli; Lloyd N. Trefethen (SIAM J. Sci. Comput., 2015)

Euler-Maclaurin and Gregory interpolants. - Mohsin Javed; Lloyd N. Trefethen (Numerische Mathematik, 2016)

Trigonometric Interpolation and Quadrature in Perturbed Points. - Anthony P. Austin; Lloyd N. Trefethen (SIAM J. Numer. Anal., 2017)

Block Operators and Spectral Discretizations. - Jared Lee Aurentz; Lloyd N. Trefethen (SIAM Rev., 2017)

Cubature, Approximation, and Isotropy in the Hypercube. - Lloyd N. Trefethen (SIAM Rev., 2017)

Chebfun in Three Dimensions. - Behnam Hashemi; Lloyd N. Trefethen (SIAM J. Sci. Comput., 2017)

Chopping a Chebyshev Series. - Jared Lee Aurentz; Lloyd N. Trefethen (ACM Trans. Math. Softw., 2017)

Exploring ODEs. - Lloyd N. Trefethen; Asgeir Birkisson; Tobin A. Driscoll (SIAM, 2018)

Rational Minimax Approximation via Adaptive Barycentric Representations. - Silviu-Ioan Filip; Yuji Nakatsukasa; Lloyd N. Trefethen; Bernhard Beckermann (SIAM J. Sci. Comput., 2018)

The AAA Algorithm for Rational Approximation. - Yuji Nakatsukasa; Olivier Sète; Lloyd N. Trefethen (SIAM J. Sci. Comput., 2018)

Quantifying the ill-conditioning of analytic continuation. - Lloyd N. Trefethen (CoRR, 2019)

Numerical conformal mapping with rational functions. - Lloyd N. Trefethen (CoRR, 2019)

Representation of conformal maps by rational functions. - Abinand Gopal; Lloyd N. Trefethen (Numerische Mathematik, 2019)

Solving Laplace Problems with Corner Singularities via Rational Functions. - Abinand Gopal; Lloyd N. Trefethen (SIAM J. Numer. Anal., 2019)

Smooth Random Functions, Random ODEs, and Gaussian Processes. - Silviu-Ioan Filip; Aurya Javeed; Lloyd N. Trefethen (SIAM Rev., 2019)

Eight Perspectives on the Exponentially Ill-Conditioned Equation ε y" - x y' + y = 0. - Lloyd N. Trefethen (SIAM Rev., 2020)

An Algorithm for Real and Complex Rational Minimax Approximation. - Yuji Nakatsukasa; Lloyd N. Trefethen (SIAM J. Sci. Comput., 2020)

AAA-least squares rational approximation and solution of Laplace problems. - Stefano Costa; Lloyd N. Trefethen (CoRR, 2021)

Log-lightning computation of capacity and Green's function. - Peter J. Baddoo; Lloyd N. Trefethen (Maple Trans., 2021)

Exponential node clustering at singularities for rational approximation, quadrature, and PDEs. - Lloyd N. Trefethen; Yuji Nakatsukasa; J. A. C. Weideman (Numerische Mathematik, 2021)

Reciprocal-Log Approximation and Planar PDE Solvers. - Yuji Nakatsukasa; Lloyd N. Trefethen (SIAM J. Numer. Anal., 2021)

Vandermonde with Arnoldi. - Pablo D. Brubeck; Yuji Nakatsukasa; Lloyd N. Trefethen (SIAM Rev., 2021)

Rectangular eigenvalue problems. - Behnam Hashemi; Yuji Nakatsukasa; Lloyd N. Trefethen (Adv. Comput. Math., 2022)

AAA interpolation of equispaced data. - Daan Huybrechs; Lloyd N. Trefethen (CoRR, 2022)

Spectacularly large expansion coefficients in Müntz's theorem. - Lloyd N. Trefethen (CoRR, 2022)

Exactness of Quadrature Formulas. - Lloyd N. Trefethen (SIAM Rev., 2022)

Lightning Stokes Solver. - Pablo D. Brubeck; Lloyd N. Trefethen (SIAM J. Sci. Comput., 2022)

Sigmoid functions and multiscale resolution of singularities. - Daan Huybrechs; Lloyd N. Trefethen (CoRR, 2023)

AAA rational approximation on a continuum. - Toby Driscoll; Yuji Nakatsukasa; Lloyd N. Trefethen (CoRR, 2023)

Computation of 2D Stokes flows via lightning and AAA rational approximation. - Yidan Xue; Sarah L. Waters; Lloyd N. Trefethen (CoRR, 2023)

Lightning Helmholtz Solver. - Henry Ginn; Lloyd N. Trefethen (CoRR, 2023)

Polynomial and rational convergence rates for Laplace problems on planar domains. - Lloyd N. Trefethen (CoRR, 2023)

The first five years of the AAA algorithm. - Yuji Nakatsukasa; Olivier Sète; Lloyd N. Trefethen (CoRR, 2023)

Resolution of Singularities by Rational Functions. - Astrid Herremans; Daan Huybrechs; Lloyd N. Trefethen (SIAM J. Numer. Anal., 2023)

Evaluation of Resonances via AAA Rational Approximation of Randomly Scalarized Boundary Integral Resolvents. - Oscar P. Bruno; Manuel A. Santana; Lloyd N. Trefethen (CoRR, 2024)

Sigmoid Functions, Multiscale Resolution of Singularities, and $hp$-Mesh Refinement. - Daan Huybrechs; Lloyd N. Trefethen (SIAM Rev., 2024)

AAA Rational Approximation on a Continuum. - Tobin A. Driscoll; Yuji Nakatsukasa; Lloyd N. Trefethen (SIAM J. Sci. Comput., 2024)

Computation of Two-Dimensional Stokes Flows via Lightning and AAA Rational Approximation. - Yidan Xue; Sarah L. Waters; Lloyd N. Trefethen (SIAM J. Sci. Comput., 2024)

Computation of Zolotarev Rational Functions. - Lloyd N. Trefethen; Heather D. Wilber (SIAM J. Sci. Comput., 2025)

Numerical computation of the Schwarz function. - Lloyd N. Trefethen (CoRR, 2025)

Unbounded growth of band-limited functions. - Lloyd N. Trefethen (CoRR, 2025)

Rational approximation. - Lloyd N. Trefethen (CoRR, 2025)

Quadrature formulas from rational approximations. - Andrew Horning; Lloyd N. Trefethen (CoRR, 2025)