Lloyd N. Trefethen

SIAM J. Sci. Comput., 2026

2025

L2 and L∞ rational approximation.

[BibT_eX]

[DOI]

Michael S. Ackermann

Sean Reiter

CoRR, December, 2025

Applications of AAA rational approximation.

[BibT_eX]

[DOI]

CoRR, October, 2025

Quadrature formulas from rational approximations.

[BibT_eX]

[DOI]

Andrew Horning

CoRR, July, 2025

Rational approximation.

[BibT_eX]

[DOI]

CoRR, January, 2025

Unbounded growth of band-limited functions.

[BibT_eX]

[DOI]

CoRR, January, 2025

Numerical computation of the Schwarz function.

[BibT_eX]

[DOI]

CoRR, January, 2025

Computation of Zolotarev Rational Functions.

[BibT_eX]

[DOI]

Heather D. Wilber

SIAM J. Sci. Comput., 2025

2024

Computation of Two-Dimensional Stokes Flows via Lightning and AAA Rational Approximation.

[BibT_eX]

[DOI]

Yidan Xue

Sarah L. Waters

SIAM J. Sci. Comput., 2024

AAA Rational Approximation on a Continuum.

[BibT_eX]

[DOI]

Tobin A. Driscoll

SIAM J. Sci. Comput., 2024

Sigmoid Functions, Multiscale Resolution of Singularities, and $hp$-Mesh Refinement.

[BibT_eX]

[DOI]

SIAM Rev., 2024

Evaluation of Resonances via AAA Rational Approximation of Randomly Scalarized Boundary Integral Resolvents.

[BibT_eX]

[DOI]

Oscar P. Bruno

Manuel A. Santana

CoRR, 2024

2023

Resolution of Singularities by Rational Functions.

[BibT_eX]

[DOI]

Astrid Herremans

SIAM J. Numer. Anal., December, 2023

The first five years of the AAA algorithm.

[BibT_eX]

[DOI]

Olivier Sète

CoRR, 2023

Polynomial and rational convergence rates for Laplace problems on planar domains.

[BibT_eX]

[DOI]

CoRR, 2023

Lightning Helmholtz Solver.

[BibT_eX]

[DOI]

Henry Ginn

CoRR, 2023

Computation of 2D Stokes flows via lightning and AAA rational approximation.

[BibT_eX]

[DOI]

Yidan Xue

Sarah L. Waters

CoRR, 2023

AAA rational approximation on a continuum.

[BibT_eX]

[DOI]

Toby Driscoll

CoRR, 2023

Sigmoid functions and multiscale resolution of singularities.

[BibT_eX]

[DOI]

CoRR, 2023

2022

Lightning Stokes Solver.

[BibT_eX]

[DOI]

Pablo D. Brubeck

SIAM J. Sci. Comput., 2022

Exactness of Quadrature Formulas.

[BibT_eX]

[DOI]

SIAM Rev., 2022

Spectacularly large expansion coefficients in Müntz's theorem.

[BibT_eX]

[DOI]

CoRR, 2022

AAA interpolation of equispaced data.

[BibT_eX]

[DOI]

CoRR, 2022

Rectangular eigenvalue problems.

[BibT_eX]

[DOI]

Behnam Hashemi

Adv. Comput. Math., 2022

2021

Vandermonde with Arnoldi.

[BibT_eX]

[DOI]

Pablo D. Brubeck

SIAM Rev., 2021

Reciprocal-Log Approximation and Planar PDE Solvers.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2021

Exponential node clustering at singularities for rational approximation, quadrature, and PDEs.

[BibT_eX]

[DOI]

Numerische Mathematik, 2021

Log-lightning computation of capacity and Green's function.

[BibT_eX]

[DOI]

Peter J. Baddoo

Maple Trans., 2021

AAA-least squares rational approximation and solution of Laplace problems.

[BibT_eX]

[DOI]

Stefano Costa

CoRR, 2021

2020

An Algorithm for Real and Complex Rational Minimax Approximation.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2020

Eight Perspectives on the Exponentially Ill-Conditioned Equation ε y" - x y' + y = 0.

[BibT_eX]

[DOI]

SIAM Rev., 2020

2019

Smooth Random Functions, Random ODEs, and Gaussian Processes.

[BibT_eX]

[DOI]

Silviu-Ioan Filip

Aurya Javeed

SIAM Rev., 2019

Solving Laplace Problems with Corner Singularities via Rational Functions.

[BibT_eX]

[DOI]

Abinand Gopal

SIAM J. Numer. Anal., 2019

Representation of conformal maps by rational functions.

[BibT_eX]

[DOI]

Abinand Gopal

Numerische Mathematik, 2019

Numerical conformal mapping with rational functions.

[BibT_eX]

[DOI]

CoRR, 2019

Quantifying the ill-conditioning of analytic continuation.

[BibT_eX]

[DOI]

CoRR, 2019

2018

The AAA Algorithm for Rational Approximation.

[BibT_eX]

[DOI]

Olivier Sète

SIAM J. Sci. Comput., 2018

Rational Minimax Approximation via Adaptive Barycentric Representations.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2018

Exploring ODEs.

[BibT_eX]

[DOI]

Asgeir Birkisson

Tobin A. Driscoll

SIAM, ISBN: 978-1-61197-515-4, 2018

2017

Chopping a Chebyshev Series.

[BibT_eX]

[DOI]

Jared Lee Aurentz

ACM Trans. Math. Softw., 2017

Chebfun in Three Dimensions.

[BibT_eX]

[DOI]

Behnam Hashemi

SIAM J. Sci. Comput., 2017

Cubature, Approximation, and Isotropy in the Hypercube.

[BibT_eX]

[DOI]

SIAM Rev., 2017

Block Operators and Spectral Discretizations.

[BibT_eX]

[DOI]

Jared Lee Aurentz

SIAM Rev., 2017

Trigonometric Interpolation and Quadrature in Perturbed Points.

[BibT_eX]

[DOI]

Anthony P. Austin

SIAM J. Numer. Anal., 2017

2016

Euler-Maclaurin and Gregory interpolants.

[BibT_eX]

[DOI]

Mohsin Javed

Numerische Mathematik, 2016

2015

Extension of Chebfun to Periodic Functions.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2015

Computing Eigenvalues of Real Symmetric Matrices with Rational Filters in Real Arithmetic.

[BibT_eX]

[DOI]

Anthony P. Austin

SIAM J. Sci. Comput., 2015

Mathematics of the Faraday Cage.

[BibT_eX]

[DOI]

S. Jonathan Chapman

David P. Hewett

SIAM Rev., 2015

2014

The Exponentially Convergent Trapezoidal Rule.

[BibT_eX]

[DOI]

SIAM Rev., 2014

Numerical Algorithms Based on Analytic Function Values at Roots of Unity.

[BibT_eX]

[DOI]

Anthony P. Austin

Peter Kravanja

SIAM J. Numer. Anal., 2014

2013

An Extension of Chebfun to Two Dimensions.

[BibT_eX]

[DOI]

Alex Townsend

SIAM J. Sci. Comput., 2013

Robust Padé Approximation via SVD.

[BibT_eX]

[DOI]

Pedro Gonnet

Stefan Güttel

SIAM Rev., 2013

2012

Stability of Barycentric Interpolation Formulas for Extrapolation.

[BibT_eX]

[DOI]

Marcus Webb

Pedro Gonnet

SIAM J. Sci. Comput., 2012

Approximation Theory and Approximation Practice.

[BibT_eX]

[DOI]

SIAM, ISBN: 978-1-611-97239-9, 2012

2011

A Sinc Function Analogue of Chebfun.

[BibT_eX]

[DOI]

Mark Richardson

SIAM J. Sci. Comput., 2011

Impossibility of Fast Stable Approximation of Analytic Functions from Equispaced Samples.

[BibT_eX]

[DOI]

Rodrigo B. Platte

Arno B. J. Kuijlaars

SIAM Rev., 2011

2008

Is Gauss Quadrature Better than Clenshaw-Curtis?

[BibT_eX]

[DOI]

SIAM Rev., 2008

New Quadrature Formulas from Conformal Maps.

[BibT_eX]

[DOI]

Nicholas Hale

SIAM J. Numer. Anal., 2008

Computing AAlpha, log(A), and Related Matrix Functions by Contour Integrals.

[BibT_eX]

[DOI]

Nicholas Hale

Nicholas J. Higham

SIAM J. Numer. Anal., 2008

2007

Computing the Gamma Function Using Contour Integrals and Rational Approximations.

[BibT_eX]

[DOI]

Thomas Schmelzer

SIAM J. Numer. Anal., 2007

The kink phenomenon in Fejér and Clenshaw-Curtis quadrature.

[BibT_eX]

[DOI]

Numerische Mathematik, 2007

Parabolic and hyperbolic contours for computing the Bromwich integral.

[BibT_eX]

[DOI]

Math. Comput., 2007

Computing numerically with functions instead of numbers.

[BibT_eX]

[DOI]

Proceedings of the Symbolic-Numeric Computation, 2007

2006

A Rational Spectral Collocation Method with Adaptively Transformed Chebyshev Grid Points.

[BibT_eX]

[DOI]

T. W. Tee

SIAM J. Sci. Comput., 2006

2005

Fourth-Order Time-Stepping for Stiff PDEs.

[BibT_eX]

[DOI]

Aly-Khan Kassam

SIAM J. Sci. Comput., 2005

Reviving the Method of Particular Solutions.

[BibT_eX]

[DOI]

Timo Betcke

SIAM Rev., 2005

2004

An Extension of MATLAB to Continuous Functions and Operators.

[BibT_eX]

[DOI]

Zachary Battles

SIAM J. Sci. Comput., 2004

Barycentric Lagrange Interpolation.

[BibT_eX]

[DOI]

Jean-Paul Berrut

SIAM Rev., 2004

2003

A Multipole Method for Schwarz-Christoffel Mapping of Polygons with Thousands of Sides.

[BibT_eX]

[DOI]

Lehel Banjai

SIAM J. Sci. Comput., 2003

2002

Piecewise Continuous Toeplitz Matrices and Operators: Slow Approach to Infinity.

[BibT_eX]

[DOI]

Albrecht Böttcher

Mark Embree

SIAM J. Matrix Anal. Appl., 2002

2001

Large-Scale Computation of Pseudospectra Using ARPACK and Eigs.

[BibT_eX]

[DOI]

Thomas G. Wright

SIAM J. Sci. Comput., 2001

Generalizing Eigenvalue Theorems to Pseudospectra Theorems.

[BibT_eX]

[DOI]

Mark Embree

SIAM J. Sci. Comput., 2001

1999

Green's Functions for Multiply Connected Domains via Conformal Mapping.

[BibT_eX]

[DOI]

Mark Embree

SIAM Rev., 1999

The Kreiss Matrix Theorem on a General Complex Domain.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 1999

1998

Condition Numbers of Random Triangular Matrices.

[BibT_eX]

[DOI]

D. Viswanath

SIAM J. Matrix Anal. Appl., April, 1998

From Potential Theory to Matrix Iterations in Six Steps.

[BibT_eX]

[DOI]

Tobin A. Driscoll

SIAM Rev., 1998

The Chebyshev Polynomials of a Matrix.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 1998

1997

Pseudospectra of Linear Operators.

[BibT_eX]

[DOI]

SIAM Rev., 1997

Numerical linear algebra.

[BibT_eX]

[DOI]

David Bau

SIAM, ISBN: 978-0-89871-361-9, 1997

1996

Calculation of Pseudospectra by the Arnoldi Iteration.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 1996

1994

GMRES/CR and Arnoldi/Lanczos as Matrix Approximation Problems.

[BibT_eX]

[DOI]

Anne Greenbaum

SIAM J. Sci. Comput., 1994

Pseudospectra of the Convection-Diffusion Operator.

[BibT_eX]

[DOI]

Satish C. Reddy

SIAM J. Appl. Math., 1994

1992

A Hybrid GMRES Algorithm for Nonsymmetric Linear Systems.

[BibT_eX]

[DOI]

Noël M. Nachtigal

Lothar Reichel

SIAM J. Matrix Anal. Appl., 1992

How Fast are Nonsymmetric Matrix Iterations?

[BibT_eX]

[DOI]

Noël M. Nachtigal

Satish C. Reddy

SIAM J. Matrix Anal. Appl., 1992

1990

A Modified Schwarz-Christoffel Transformation for Elongated Regions.

[BibT_eX]

[DOI]

Louis H. Howell

SIAM J. Sci. Comput., 1990

1982

Wave propagation and stability for finite difference schemes.

[BibT_eX]

[DOI]