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Lloyd N. Trefethen
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Publications
- 2023
- [j59]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) - [i13]Yuji Nakatsukasa, Olivier Sète, Lloyd N. Trefethen:
The first five years of the AAA algorithm. CoRR abs/2312.03565 (2023) - 2022
- [j58]Behnam Hashemi, Yuji Nakatsukasa, Lloyd N. Trefethen:
Rectangular eigenvalue problems. Adv. Comput. Math. 48(6): 80 (2022) - [j56]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) - 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) - [i9]Pablo D. Brubeck, Lloyd N. Trefethen:
Lightning Stokes solver. CoRR abs/2107.01572 (2021) - [i7]Behnam Hashemi, Yuji Nakatsukasa, Lloyd N. Trefethen:
Rectangular eigenvalue problems. CoRR abs/2112.13698 (2021) - 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) - 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) - [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) - [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
- [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
- [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) - 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) - 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) - 2005
- [j20]Timo Betcke, Lloyd N. Trefethen:
Reviving the Method of Particular Solutions. SIAM Rev. 47(3): 469-491 (2005) - 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) - 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) - 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) - 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)
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