Lloyd N. Trefethen

96 papers Journal 91Unranked 1

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	Applications of AAA rational approximation. CoRR Yuji Nakatsukasa, Lloyd N. Trefethen
2025	J	`jnl`	Computation of Zolotarev Rational Functions. SIAM J. Sci. Comput. Lloyd N. Trefethen, Heather D. Wilber
2025	J	`jnl`	L CoRR Michael S. Ackermann, Sean Reiter, Lloyd N. Trefethen
2025	J	`jnl`	Numerical computation of the Schwarz function. CoRR Lloyd N. Trefethen
2025	J	`jnl`	Quadrature formulas from rational approximations. CoRR Andrew Horning, Lloyd N. Trefethen
2025	J	`jnl`	Rational approximation. CoRR Lloyd N. Trefethen
2025	J	`jnl`	Unbounded growth of band-limited functions. CoRR Lloyd N. Trefethen
2024	J	`jnl`	AAA Rational Approximation on a Continuum. SIAM J. Sci. Comput. Tobin A. Driscoll, Yuji Nakatsukasa, Lloyd N. Trefethen
2024	J	`jnl`	Computation of Two-Dimensional Stokes Flows via Lightning and AAA Rational Approximation. SIAM J. Sci. Comput. Yidan Xue, Sarah L. Waters, Lloyd N. Trefethen
2024	J	`jnl`	Computation of Zolotarev rational functions. CoRR Lloyd N. Trefethen, Heather D. Wilber
2024	J	`jnl`	Evaluation of Resonances via AAA Rational Approximation of Randomly Scalarized Boundary Integral Resolvents. CoRR Oscar P. Bruno, Manuel A. Santana, Lloyd N. Trefethen
2024	J	`jnl`	Sigmoid Functions, Multiscale Resolution of Singularities, and $hp$-Mesh Refinement. SIAM Rev. Daan Huybrechs, Lloyd N. Trefethen
2023	J	`jnl`	AAA rational approximation on a continuum. CoRR Toby Driscoll, Yuji Nakatsukasa, Lloyd N. Trefethen
2023	J	`jnl`	Computation of 2D Stokes flows via lightning and AAA rational approximation. CoRR Yidan Xue, Sarah L. Waters, Lloyd N. Trefethen
2023	J	`jnl`	Lightning Helmholtz Solver. CoRR Henry Ginn, Lloyd N. Trefethen
2023	J	`jnl`	Polynomial and rational convergence rates for Laplace problems on planar domains. CoRR Lloyd N. Trefethen
2023	J	`jnl`	Resolution of Singularities by Rational Functions. SIAM J. Numer. Anal. Astrid Herremans, Daan Huybrechs, Lloyd N. Trefethen
2023	J	`jnl`	Resolution of singularities by rational functions. CoRR Astrid Herremans, Daan Huybrechs, Lloyd N. Trefethen
2023	J	`jnl`	Sigmoid functions and multiscale resolution of singularities. CoRR Daan Huybrechs, Lloyd N. Trefethen
2023	J	`jnl`	The first five years of the AAA algorithm. CoRR Yuji Nakatsukasa, Olivier Sète, Lloyd N. Trefethen
2022	J	`jnl`	AAA interpolation of equispaced data. CoRR Daan Huybrechs, Lloyd N. Trefethen
2022	J	`jnl`	Exactness of Quadrature Formulas. SIAM Rev. Lloyd N. Trefethen
2022	J	`jnl`	Lightning Stokes Solver. SIAM J. Sci. Comput. Pablo D. Brubeck, Lloyd N. Trefethen
2022	J	`jnl`	Rectangular eigenvalue problems. Adv. Comput. Math. Behnam Hashemi, Yuji Nakatsukasa, Lloyd N. Trefethen
2022	J	`jnl`	Spectacularly large expansion coefficients in Müntz's theorem. CoRR Lloyd N. Trefethen
2021	J	`jnl`	AAA-least squares rational approximation and solution of Laplace problems. CoRR Stefano Costa, Lloyd N. Trefethen
2021	J	`jnl`	Exactness of quadrature formulas. CoRR Lloyd N. Trefethen
2021	J	`jnl`	Exponential node clustering at singularities for rational approximation, quadrature, and PDEs. Numerische Mathematik Lloyd N. Trefethen, Yuji Nakatsukasa, J. A. C. Weideman
2021	J	`jnl`	Lightning Stokes solver. CoRR Pablo D. Brubeck, Lloyd N. Trefethen
2021	J	`jnl`	Log-lightning computation of capacity and Green's function. Maple Trans. Peter J. Baddoo, Lloyd N. Trefethen
2021	J	`jnl`	Reciprocal-Log Approximation and Planar PDE Solvers. SIAM J. Numer. Anal. Yuji Nakatsukasa, Lloyd N. Trefethen
2021	J	`jnl`	Rectangular eigenvalue problems. CoRR Behnam Hashemi, Yuji Nakatsukasa, Lloyd N. Trefethen
2021	J	`jnl`	Vandermonde with Arnoldi. SIAM Rev. Pablo D. Brubeck, Yuji Nakatsukasa, Lloyd N. Trefethen
2020	J	`jnl`	An Algorithm for Real and Complex Rational Minimax Approximation. SIAM J. Sci. Comput. Yuji Nakatsukasa, Lloyd N. Trefethen
2020	J	`jnl`	Eight Perspectives on the Exponentially Ill-Conditioned Equation ε y" - x y' + y = 0. SIAM Rev. Lloyd N. Trefethen
2020	J	`jnl`	Exponential node clustering at singularities for rational approximation, quadrature, and PDEs. CoRR Lloyd N. Trefethen, Yuji Nakatsukasa, J. A. C. Weideman
2020	J	`jnl`	Reciprocal-log approximation and planar PDE solvers. CoRR Yuji Nakatsukasa, Lloyd N. Trefethen
2019	J	`jnl`	An algorithm for real and complex rational minimax approximation. CoRR Yuji Nakatsukasa, Lloyd N. Trefethen
2019	J	`jnl`	Numerical conformal mapping with rational functions. CoRR Lloyd N. Trefethen
2019	J	`jnl`	Quantifying the ill-conditioning of analytic continuation. CoRR Lloyd N. Trefethen
2019	J	`jnl`	Representation of conformal maps by rational functions. Numerische Mathematik Abinand Gopal, Lloyd N. Trefethen
2019	J	`jnl`	Smooth Random Functions, Random ODEs, and Gaussian Processes. SIAM Rev. Silviu-Ioan Filip, Aurya Javeed, Lloyd N. Trefethen
2019	J	`jnl`	Solving Laplace Problems with Corner Singularities via Rational Functions. SIAM J. Numer. Anal. Abinand Gopal, Lloyd N. Trefethen
2019	J	`jnl`	Vandermonde with Arnoldi. CoRR Pablo D. Brubeck, Yuji Nakatsukasa, Lloyd N. Trefethen
2018	—	`book`	Exploring ODEs. Lloyd N. Trefethen, Asgeir Birkisson, Tobin A. Driscoll
2018	J	`jnl`	Rational Minimax Approximation via Adaptive Barycentric Representations. SIAM J. Sci. Comput. Silviu-Ioan Filip, Yuji Nakatsukasa, Lloyd N. Trefethen, Bernhard Beckermann
2018	J	`jnl`	The AAA Algorithm for Rational Approximation. SIAM J. Sci. Comput. Yuji Nakatsukasa, Olivier Sète, Lloyd N. Trefethen
2017	J	`jnl`	Block Operators and Spectral Discretizations. SIAM Rev. Jared Lee Aurentz, Lloyd N. Trefethen
2017	J	`jnl`	Chebfun in Three Dimensions. SIAM J. Sci. Comput. Behnam Hashemi, Lloyd N. Trefethen
2017	J	`jnl`	Chopping a Chebyshev Series. ACM Trans. Math. Softw. Jared Lee Aurentz, Lloyd N. Trefethen
2017	J	`jnl`	Cubature, Approximation, and Isotropy in the Hypercube. SIAM Rev. Lloyd N. Trefethen
2017	J	`jnl`	Trigonometric Interpolation and Quadrature in Perturbed Points. SIAM J. Numer. Anal. Anthony P. Austin, Lloyd N. Trefethen
2016	J	`jnl`	Euler-Maclaurin and Gregory interpolants. Numerische Mathematik Mohsin Javed, Lloyd N. Trefethen
2015	J	`jnl`	Computing Eigenvalues of Real Symmetric Matrices with Rational Filters in Real Arithmetic. SIAM J. Sci. Comput. Anthony P. Austin, Lloyd N. Trefethen
2015	J	`jnl`	Computing numerically with functions instead of numbers. Commun. ACM Lloyd N. Trefethen
2015	J	`jnl`	Extension of Chebfun to Periodic Functions. SIAM J. Sci. Comput. Grady B. Wright, Mohsin Javed, Hadrien Montanelli, Lloyd N. Trefethen
2015	J	`jnl`	Mathematics of the Faraday Cage. SIAM Rev. S. Jonathan Chapman, David P. Hewett, Lloyd N. Trefethen
2014	J	`jnl`	Numerical Algorithms Based on Analytic Function Values at Roots of Unity. SIAM J. Numer. Anal. Anthony P. Austin, Peter Kravanja, Lloyd N. Trefethen
2014	J	`jnl`	The Exponentially Convergent Trapezoidal Rule. SIAM Rev. Lloyd N. Trefethen, J. A. C. Weideman
2013	J	`jnl`	An Extension of Chebfun to Two Dimensions. SIAM J. Sci. Comput. Alex Townsend, Lloyd N. Trefethen
2013	J	`jnl`	Robust Padé Approximation via SVD. SIAM Rev. Pedro Gonnet, Stefan Güttel, Lloyd N. Trefethen
2012	—	`book`	Approximation Theory and Approximation Practice. Lloyd N. Trefethen
2012	J	`jnl`	Stability of Barycentric Interpolation Formulas for Extrapolation. SIAM J. Sci. Comput. Marcus Webb, Lloyd N. Trefethen, Pedro Gonnet
2011	J	`jnl`	A Sinc Function Analogue of Chebfun. SIAM J. Sci. Comput. Mark Richardson, Lloyd N. Trefethen
2011	J	`jnl`	Impossibility of Fast Stable Approximation of Analytic Functions from Equispaced Samples. SIAM Rev. Rodrigo B. Platte, Lloyd N. Trefethen, Arno B. J. Kuijlaars
2008	J	`jnl`	Computing A SIAM J. Numer. Anal. Nicholas Hale, Nicholas J. Higham, Lloyd N. Trefethen
2008	J	`jnl`	Is Gauss Quadrature Better than Clenshaw-Curtis? SIAM Rev. Lloyd N. Trefethen
2008	J	`jnl`	New Quadrature Formulas from Conformal Maps. SIAM J. Numer. Anal. Nicholas Hale, Lloyd N. Trefethen
2007	J	`jnl`	Computing Numerically with Functions Instead of Numbers. Math. Comput. Sci. Lloyd N. Trefethen
2007	—	`conf`	Computing numerically with functions instead of numbers. SNC Lloyd N. Trefethen
2007	J	`jnl`	Computing the Gamma Function Using Contour Integrals and Rational Approximations. SIAM J. Numer. Anal. Thomas Schmelzer, Lloyd N. Trefethen
2007	J	`jnl`	Parabolic and hyperbolic contours for computing the Bromwich integral. Math. Comput. J. A. C. Weideman, Lloyd N. Trefethen
2007	J	`jnl`	The kink phenomenon in Fejér and Clenshaw-Curtis quadrature. Numerische Mathematik J. A. C. Weideman, Lloyd N. Trefethen
2006	J	`jnl`	A Rational Spectral Collocation Method with Adaptively Transformed Chebyshev Grid Points. SIAM J. Sci. Comput. T. W. Tee, Lloyd N. Trefethen
2005	J	`jnl`	Fourth-Order Time-Stepping for Stiff PDEs. SIAM J. Sci. Comput. Aly-Khan Kassam, Lloyd N. Trefethen
2005	J	`jnl`	Reviving the Method of Particular Solutions. SIAM Rev. Timo Betcke, Lloyd N. Trefethen
2004	J	`jnl`	An Extension of MATLAB to Continuous Functions and Operators. SIAM J. Sci. Comput. Zachary Battles, Lloyd N. Trefethen
2004	J	`jnl`	Barycentric Lagrange Interpolation. SIAM Rev. Jean-Paul Berrut, Lloyd N. Trefethen
2003	J	`jnl`	A Multipole Method for Schwarz-Christoffel Mapping of Polygons with Thousands of Sides. SIAM J. Sci. Comput. Lehel Banjai, Lloyd N. Trefethen
2002	J	`jnl`	Piecewise Continuous Toeplitz Matrices and Operators: Slow Approach to Infinity. SIAM J. Matrix Anal. Appl. Albrecht Böttcher, Mark Embree, Lloyd N. Trefethen
2001	J	`jnl`	Generalizing Eigenvalue Theorems to Pseudospectra Theorems. SIAM J. Sci. Comput. Mark Embree, Lloyd N. Trefethen
2001	J	`jnl`	Large-Scale Computation of Pseudospectra Using ARPACK and Eigs. SIAM J. Sci. Comput. Thomas G. Wright, Lloyd N. Trefethen
1999	J	`jnl`	Green's Functions for Multiply Connected Domains via Conformal Mapping. SIAM Rev. Mark Embree, Lloyd N. Trefethen
1999	J	`jnl`	The Kreiss Matrix Theorem on a General Complex Domain. SIAM J. Matrix Anal. Appl. Kim-Chuan Toh, Lloyd N. Trefethen
1998	J	`jnl`	Condition Numbers of Random Triangular Matrices. SIAM J. Matrix Anal. Appl. D. Viswanath, Lloyd N. Trefethen
1998	J	`jnl`	From Potential Theory to Matrix Iterations in Six Steps. SIAM Rev. Tobin A. Driscoll, Kim-Chuan Toh, Lloyd N. Trefethen
1998	J	`jnl`	The Chebyshev Polynomials of a Matrix. SIAM J. Matrix Anal. Appl. Kim-Chuan Toh, Lloyd N. Trefethen
1997	—	`book`	Numerical linear algebra. Lloyd N. Trefethen, David Bau
1997	J	`jnl`	Pseudospectra of Linear Operators. SIAM Rev. Lloyd N. Trefethen
1996	J	`jnl`	Calculation of Pseudospectra by the Arnoldi Iteration. SIAM J. Sci. Comput. Kim-Chuan Toh, Lloyd N. Trefethen
1994	J	`jnl`	GMRES/CR and Arnoldi/Lanczos as Matrix Approximation Problems. SIAM J. Sci. Comput. Anne Greenbaum, Lloyd N. Trefethen
1994	J	`jnl`	Pseudospectra of the Convection-Diffusion Operator. SIAM J. Appl. Math. Satish C. Reddy, Lloyd N. Trefethen
1992	J	`jnl`	A Hybrid GMRES Algorithm for Nonsymmetric Linear Systems. SIAM J. Matrix Anal. Appl. Noël M. Nachtigal, Lothar Reichel, Lloyd N. Trefethen
1992	J	`jnl`	How Fast are Nonsymmetric Matrix Iterations? SIAM J. Matrix Anal. Appl. Noël M. Nachtigal, Satish C. Reddy, Lloyd N. Trefethen
1990	J	`jnl`	A Modified Schwarz-Christoffel Transformation for Elongated Regions. SIAM J. Sci. Comput. Louis H. Howell, Lloyd N. Trefethen
1982	—	`—`	Wave propagation and stability for finite difference schemes. Lloyd N. Trefethen