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ORCIDLloyd N. Trefethen
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2020 – today
- 2024
[j62]Tobin A. Driscoll
, Yuji Nakatsukasa, Lloyd N. Trefethen:
AAA Rational Approximation on a Continuum. SIAM J. Sci. Comput. 46(2): 929- (2024)- [j61]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): 1214- (2024) - [i21]Oscar P. Bruno, Manuel A. Santana, Lloyd N. Trefethen:
Evaluation of Resonances via AAA Rational Approximation of Randomly Scalarized Boundary Integral Resolvents. CoRR abs/2405.19582 (2024) - [i20]Lloyd N. Trefethen, Heather D. Wilber:
Computation of Zolotarev rational functions. CoRR abs/2408.14092 (2024) - 2023
- [j60]Astrid Herremans, Daan Huybrechs, Lloyd N. Trefethen:
Resolution of Singularities by Rational Functions. SIAM J. Numer. Anal. 61(6): 2580-2600 (2023) - [i19]Astrid Herremans, Daan Huybrechs, Lloyd N. Trefethen:
Resolution of singularities by rational functions. CoRR abs/2302.02743 (2023) - [i18]Daan Huybrechs, Lloyd N. Trefethen:
Sigmoid functions and multiscale resolution of singularities. CoRR abs/2303.01967 (2023) - [i17]Toby Driscoll, Yuji Nakatsukasa, Lloyd N. Trefethen:
AAA rational approximation on a continuum. CoRR abs/2305.03677 (2023) - [i16]Yidan Xue, Sarah L. Waters, Lloyd N. Trefethen:
Computation of 2D Stokes flows via lightning and AAA rational approximation. CoRR abs/2306.13545 (2023) - [i15]Henry Ginn, Lloyd N. Trefethen:
Lightning Helmholtz Solver. CoRR abs/2310.01665 (2023) - [i14]Lloyd N. Trefethen:
Polynomial and rational convergence rates for Laplace problems on planar domains. CoRR abs/2311.17718 (2023) - [i13]Yuji Nakatsukasa, Olivier Sète, Lloyd N. Trefethen:
The first five years of the AAA algorithm. CoRR abs/2312.03565 (2023) - 2022
- [j59]Behnam Hashemi, Yuji Nakatsukasa, Lloyd N. Trefethen:
Rectangular eigenvalue problems. Adv. Comput. Math. 48(6): 80 (2022) - [j58]Lloyd N. Trefethen:
Exactness of Quadrature Formulas. SIAM Rev. 64(1): 132-150 (2022) - [j57]Pablo D. Brubeck, Lloyd N. Trefethen:
Lightning Stokes Solver. SIAM J. Sci. Comput. 44(3): 1205- (2022) - [i12]Daan Huybrechs, Lloyd N. Trefethen:
AAA interpolation of equispaced data. CoRR abs/2207.11807 (2022) - [i11]Lloyd N. Trefethen:
Spectacularly large expansion coefficients in Müntz's theorem. CoRR abs/2208.04176 (2022) - 2021
- [j56]Peter J. Baddoo, Lloyd N. Trefethen:
Log-lightning computation of capacity and Green's function. Maple Trans. 1(1) (2021) - [j55]Lloyd N. Trefethen, Yuji Nakatsukasa, J. A. C. Weideman:
Exponential node clustering at singularities for rational approximation, quadrature, and PDEs. Numerische Mathematik 147(1): 227-254 (2021) - [j54]Yuji Nakatsukasa, Lloyd N. Trefethen:
Reciprocal-Log Approximation and Planar PDE Solvers. SIAM J. Numer. Anal. 59(6): 2801-2822 (2021) - [j53]Pablo D. Brubeck, Yuji Nakatsukasa, Lloyd N. Trefethen:
Vandermonde with Arnoldi. SIAM Rev. 63(2): 405-415 (2021) - [i10]Lloyd N. Trefethen:
Exactness of quadrature formulas. CoRR abs/2101.09501 (2021) - [i9]Pablo D. Brubeck, Lloyd N. Trefethen:
Lightning Stokes solver. CoRR abs/2107.01572 (2021) - [i8]Stefano Costa, Lloyd N. Trefethen:
AAA-least squares rational approximation and solution of Laplace problems. CoRR abs/2107.01574 (2021) - [i7]Behnam Hashemi, Yuji Nakatsukasa, Lloyd N. Trefethen:
Rectangular eigenvalue problems. CoRR abs/2112.13698 (2021) - 2020
- [j52]Lloyd N. Trefethen:
Eight Perspectives on the Exponentially Ill-Conditioned Equation ε y" - x y' + y = 0. SIAM Rev. 62(2): 439-462 (2020) - [j51]Yuji Nakatsukasa, Lloyd N. Trefethen:
An Algorithm for Real and Complex Rational Minimax Approximation. SIAM J. Sci. Comput. 42(5): A3157-A3179 (2020) - [i6]Lloyd N. Trefethen, Yuji Nakatsukasa, J. A. C. Weideman:
Exponential node clustering at singularities for rational approximation, quadrature, and PDEs. CoRR abs/2007.11828 (2020) - [i5]Yuji Nakatsukasa, Lloyd N. Trefethen:
Reciprocal-log approximation and planar PDE solvers. CoRR abs/2010.01807 (2020)
2010 – 2019
- 2019
- [j50]Abinand Gopal, Lloyd N. Trefethen:
Representation of conformal maps by rational functions. Numerische Mathematik 142(2): 359-382 (2019) - [j49]Abinand Gopal, Lloyd N. Trefethen:
Solving Laplace Problems with Corner Singularities via Rational Functions. SIAM J. Numer. Anal. 57(5): 2074-2094 (2019) - [j48]Silviu-Ioan Filip, Aurya Javeed, Lloyd N. Trefethen:
Smooth Random Functions, Random ODEs, and Gaussian Processes. SIAM Rev. 61(1): 185-205 (2019) - [i4]Yuji Nakatsukasa, Lloyd N. Trefethen:
An algorithm for real and complex rational minimax approximation. CoRR abs/1908.06001 (2019) - [i3]Lloyd N. Trefethen:
Quantifying the ill-conditioning of analytic continuation. CoRR abs/1908.11097 (2019) - [i2]Lloyd N. Trefethen:
Numerical conformal mapping with rational functions. CoRR abs/1911.03696 (2019) - [i1]Pablo D. Brubeck, Yuji Nakatsukasa, Lloyd N. Trefethen:
Vandermonde with Arnoldi. CoRR abs/1911.09988 (2019) - 2018
- [b4]Lloyd N. Trefethen, Asgeir Birkisson, Tobin A. Driscoll:
Exploring ODEs. SIAM 2018, ISBN 978-1-61197-515-4, pp. 1-335 - [j47]Yuji Nakatsukasa, Olivier Sète, Lloyd N. Trefethen:
The AAA Algorithm for Rational Approximation. SIAM J. Sci. Comput. 40(3) (2018) - [j46]Silviu-Ioan Filip, Yuji Nakatsukasa, Lloyd N. Trefethen, Bernhard Beckermann:
Rational Minimax Approximation via Adaptive Barycentric Representations. SIAM J. Sci. Comput. 40(4): A2427-A2455 (2018) - 2017
- [j45]Anthony P. Austin, Lloyd N. Trefethen:
Trigonometric Interpolation and Quadrature in Perturbed Points. SIAM J. Numer. Anal. 55(5): 2113-2122 (2017) - [j44]Jared Lee Aurentz, Lloyd N. Trefethen:
Block Operators and Spectral Discretizations. SIAM Rev. 59(2): 423-446 (2017) - [j43]Lloyd N. Trefethen:
Cubature, Approximation, and Isotropy in the Hypercube. SIAM Rev. 59(3): 469-491 (2017) - [j42]Behnam Hashemi, Lloyd N. Trefethen:
Chebfun in Three Dimensions. SIAM J. Sci. Comput. 39(5) (2017) - [j41]Jared Lee Aurentz, Lloyd N. Trefethen:
Chopping a Chebyshev Series. ACM Trans. Math. Softw. 43(4): 33:1-33:21 (2017) - 2016
- [j40]Mohsin Javed, Lloyd N. Trefethen:
Euler-Maclaurin and Gregory interpolants. Numerische Mathematik 132(1): 201-216 (2016) - 2015
- [j39]Lloyd N. Trefethen:
Computing numerically with functions instead of numbers. Commun. ACM 58(10): 91-97 (2015) - [j38]S. Jonathan Chapman, David P. Hewett, Lloyd N. Trefethen:
Mathematics of the Faraday Cage. SIAM Rev. 57(3): 398-417 (2015) - [j37]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) - [j36]Grady B. Wright, Mohsin Javed, Hadrien Montanelli, Lloyd N. Trefethen:
Extension of Chebfun to Periodic Functions. SIAM J. Sci. Comput. 37(5) (2015) - 2014
- [j35]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): 1795-1821 (2014) - [j34]Lloyd N. Trefethen, J. A. C. Weideman:
The Exponentially Convergent Trapezoidal Rule. SIAM Rev. 56(3): 385-458 (2014) - 2013
- [j33]Pedro Gonnet, Stefan Güttel, Lloyd N. Trefethen:
Robust Padé Approximation via SVD. SIAM Rev. 55(1): 101-117 (2013) - [j32]Alex Townsend, Lloyd N. Trefethen:
An Extension of Chebfun to Two Dimensions. SIAM J. Sci. Comput. 35(6) (2013) - 2012
- [b3]Lloyd N. Trefethen:
Approximation Theory and Approximation Practice. SIAM 2012, ISBN 978-1-611-97239-9, pp. I-VII, 1-305 - [j31]Marcus Webb, Lloyd N. Trefethen, Pedro Gonnet:
Stability of Barycentric Interpolation Formulas for Extrapolation. SIAM J. Sci. Comput. 34(6) (2012) - 2011
- [j30]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): 308-318 (2011) - [j29]Mark Richardson, Lloyd N. Trefethen:
A Sinc Function Analogue of Chebfun. SIAM J. Sci. Comput. 33(5): 2519-2535 (2011)
2000 – 2009
- 2008
- [j28]Nicholas Hale, Lloyd N. Trefethen:
New Quadrature Formulas from Conformal Maps. SIAM J. Numer. Anal. 46(2): 930-948 (2008) - [j27]Nicholas Hale, Nicholas J. Higham, Lloyd N. Trefethen:
Computing AAlpha, log(A), and Related Matrix Functions by Contour Integrals. SIAM J. Numer. Anal. 46(5): 2505-2523 (2008) - [j26]Lloyd N. Trefethen:
Is Gauss Quadrature Better than Clenshaw-Curtis? SIAM Rev. 50(1): 67-87 (2008) - 2007
- [j25]Lloyd N. Trefethen:
Computing Numerically with Functions Instead of Numbers. Math. Comput. Sci. 1(1): 9-19 (2007) - [j24]J. A. C. Weideman, Lloyd N. Trefethen:
Parabolic and hyperbolic contours for computing the Bromwich integral. Math. Comput. 76(259): 1341-1356 (2007) - [j23]J. A. C. Weideman, Lloyd N. Trefethen:
The kink phenomenon in Fejér and Clenshaw-Curtis quadrature. Numerische Mathematik 107(4): 707-727 (2007) - [j22]Thomas Schmelzer, Lloyd N. Trefethen:
Computing the Gamma Function Using Contour Integrals and Rational Approximations. SIAM J. Numer. Anal. 45(2): 558-571 (2007) - [c1]Lloyd N. Trefethen:
Computing numerically with functions instead of numbers. SNC 2007: 28 - 2006
- [j21]T. W. Tee, Lloyd N. Trefethen:
A Rational Spectral Collocation Method with Adaptively Transformed Chebyshev Grid Points. SIAM J. Sci. Comput. 28(5): 1798-1811 (2006) - 2005
- [j20]Timo Betcke, Lloyd N. Trefethen:
Reviving the Method of Particular Solutions. SIAM Rev. 47(3): 469-491 (2005) - [j19]Aly-Khan Kassam, Lloyd N. Trefethen:
Fourth-Order Time-Stepping for Stiff PDEs. SIAM J. Sci. Comput. 26(4): 1214-1233 (2005) - 2004
- [j18]Jean-Paul Berrut, Lloyd N. Trefethen:
Barycentric Lagrange Interpolation. SIAM Rev. 46(3): 501-517 (2004) - [j17]Zachary Battles, Lloyd N. Trefethen:
An Extension of MATLAB to Continuous Functions and Operators. SIAM J. Sci. Comput. 25(5): 1743-1770 (2004) - 2003
- [j16]Lehel Banjai, Lloyd N. Trefethen:
A Multipole Method for Schwarz-Christoffel Mapping of Polygons with Thousands of Sides. SIAM J. Sci. Comput. 25(3): 1042-1065 (2003) - 2002
- [j15]Albrecht Böttcher, Mark Embree, Lloyd N. Trefethen:
Piecewise Continuous Toeplitz Matrices and Operators: Slow Approach to Infinity. SIAM J. Matrix Anal. Appl. 24(2): 484-489 (2002) - 2001
- [j14]Mark Embree, Lloyd N. Trefethen:
Generalizing Eigenvalue Theorems to Pseudospectra Theorems. SIAM J. Sci. Comput. 23(2): 583-590 (2001) - [j13]Thomas G. Wright, Lloyd N. Trefethen:
Large-Scale Computation of Pseudospectra Using ARPACK and Eigs. SIAM J. Sci. Comput. 23(2): 591-605 (2001)
1990 – 1999
- 1999
- [j12]Kim-Chuan Toh, Lloyd N. Trefethen:
The Kreiss Matrix Theorem on a General Complex Domain. SIAM J. Matrix Anal. Appl. 21(1): 145-165 (1999) - [j11]Mark Embree, Lloyd N. Trefethen:
Green's Functions for Multiply Connected Domains via Conformal Mapping. SIAM Rev. 41(4): 745-761 (1999) - 1998
- [j10]D. Viswanath, Lloyd N. Trefethen:
Condition Numbers of Random Triangular Matrices. SIAM J. Matrix Anal. Appl. 19(2): 564-581 (1998) - [j9]Kim-Chuan Toh, Lloyd N. Trefethen:
The Chebyshev Polynomials of a Matrix. SIAM J. Matrix Anal. Appl. 20(2): 400-419 (1998) - [j8]Tobin A. Driscoll, Kim-Chuan Toh, Lloyd N. Trefethen:
From Potential Theory to Matrix Iterations in Six Steps. SIAM Rev. 40(3): 547-578 (1998) - 1997
- [b2]Lloyd N. Trefethen, David Bau:
Numerical linear algebra. SIAM 1997, ISBN 978-0-89871-361-9, pp. I-XII, 1-361 - [j7]Lloyd N. Trefethen:
Pseudospectra of Linear Operators. SIAM Rev. 39(3): 383-406 (1997) - 1996
- [j6]Kim-Chuan Toh, Lloyd N. Trefethen:
Calculation of Pseudospectra by the Arnoldi Iteration. SIAM J. Sci. Comput. 17(1): 1-15 (1996) - 1994
- [j5]Satish C. Reddy, Lloyd N. Trefethen:
Pseudospectra of the Convection-Diffusion Operator. SIAM J. Appl. Math. 54(6): 1634-1649 (1994) - [j4]Anne Greenbaum, Lloyd N. Trefethen:
GMRES/CR and Arnoldi/Lanczos as Matrix Approximation Problems. SIAM J. Sci. Comput. 15(2): 359-368 (1994) - 1992
- [j3]Noël M. Nachtigal, Satish C. Reddy, Lloyd N. Trefethen:
How Fast are Nonsymmetric Matrix Iterations? SIAM J. Matrix Anal. Appl. 13(3): 778-795 (1992) - [j2]Noël M. Nachtigal, Lothar Reichel, Lloyd N. Trefethen:
A Hybrid GMRES Algorithm for Nonsymmetric Linear Systems. SIAM J. Matrix Anal. Appl. 13(3): 796-825 (1992) - 1990
- [j1]Louis H. Howell, Lloyd N. Trefethen:
A Modified Schwarz-Christoffel Transformation for Elongated Regions. SIAM J. Sci. Comput. 11(5): 928-949 (1990)
1980 – 1989
- 1982
- [b1]Lloyd N. Trefethen:
Wave propagation and stability for finite difference schemes. Stanford University, USA, 1982
Coauthor Index
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