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Trefethen, Lloyd Nicholas

Author ID: trefethen.lloyd-n Recent zbMATH articles by "Trefethen, Lloyd Nicholas"
Published as: Trefethen, Lloyd N.; Trefethen, Nick; Trefethen, L. N.; Threfethen, Lloyd N.; Trefethen, Lloyd
Homepage: https://people.maths.ox.ac.uk/trefethen/
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Serials

19 SIAM Review
18 SIAM Journal on Scientific Computing
18 London Mathematical Society. Newsletter
13 SIAM Journal on Numerical Analysis
8 BIT
7 Numerische Mathematik
7 SIAM Journal on Matrix Analysis and Applications
5 Journal of Computational and Applied Mathematics
5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
5 Other Titles in Applied Mathematics
4 IMA Journal of Numerical Analysis
4 Journal of Approximation Theory
3 Communications on Pure and Applied Mathematics
3 Mathematics of Computation
2 Computer Methods in Applied Mechanics and Engineering
2 Journal of Computational Physics
2 Proceedings of the American Mathematical Society
2 SIAM Journal on Scientific and Statistical Computing
2 Bulletin of the American Mathematical Society. New Series
2 Physics of Fluids
2 ETNA. Electronic Transactions on Numerical Analysis
2 Computational Methods and Function Theory
1 American Mathematical Monthly
1 Journal of Fluid Mechanics
1 ACM Transactions on Mathematical Software
1 Transactions of the American Mathematical Society
1 Constructive Approximation
1 Japan Journal of Industrial and Applied Mathematics
1 Linear Algebra and its Applications
1 Proceedings of the National Academy of Sciences of the United States of America
1 SIAM Journal on Applied Mathematics
1 SIAM Journal on Mathematical Analysis
1 Bulletin. The Institute of Mathematics and its Applications
1 Notices of the American Mathematical Society
1 Séminaire Équations aux Dérivées Partielles
1 Advances in Computational Mathematics
1 Documenta Mathematica
1 Mathematics Today (Southend-on-Sea)
1 The ANZIAM Journal
1 Cambridge Monographs on Applied and Computational Mathematics
1 Software - Environments - Tools
1 Mathematics in Computer Science
1 Science
1 PAMM. Proceedings in Applied Mathematics and Mechanics
1 Science China. Mathematics
1 Proceedings A. Royal Society of London
1 La Matematica

Publications by Year

Citations contained in zbMATH Open

153 Publications have been cited 7,687 times in 5,516 Documents Cited by Year
Spectral methods in Matlab. Zbl 0953.68643
Trefethen, Lloyd N.
2000
Numerical linear algebra. Zbl 0874.65013
Trefethen, Lloyd N.; Bau, David III
539
1997
Spectra and pseudospectra. The behavior of nonnormal matrices and operators. Zbl 1085.15009
Trefethen, Lloyd N.; Embree, Mark
529
2005
Approximation theory and approximation practice. Zbl 1264.41001
Trefethen, Lloyd N.
386
2013
Fourth-order time-stepping for stiff PDEs. Zbl 1077.65105
Kassam, Aly-Khan; Trefethen, Lloyd N.
371
2005
Hydrodynamic stability without eigenvalues. Zbl 1226.76013
Trefethen, Lloyd N.; Trefethen, Anne E.; Reddy, Satish C.; Driscoll, Tobin A.
370
1993
Barycentric Lagrange interpolation. Zbl 1061.65006
Berrut, Jean-Paul; Trefethen, Lloyd N.
321
2004
Is Gauss quadrature better than Clenshaw-Curtis? Zbl 1141.65018
Trefethen, Lloyd N.
235
2008
The exponentially convergent trapezoidal rule. Zbl 1307.65031
Trefethen, Lloyd N.; Weideman, J. A. C.
183
2014
Schwarz-Christoffel mapping. Zbl 1003.30005
Driscoll, Tobin A.; Trefethen, Lloyd N.
163
2002
Group velocity in finite difference schemes. Zbl 0487.65055
Trefethen, Lloyd N.
148
1982
Pseudospectra of linear operators. Zbl 0896.15006
Trefethen, Lloyd N.
137
1997
Parabolic and hyperbolic contours for computing the Bromwich integral. Zbl 1113.65119
Weideman, J. A. C.; Trefethen, L. N.
100
2007
How fast are nonsymmetric matrix iterations? Zbl 0754.65036
Nachtigal, Noël M.; Reddy, Satish C.; Trefethen, Lloyd N.
94
1992
Pseudospectra of matrices. Zbl 0798.15005
Trefethen, L. N.
89
1992
An extension of MATLAB to continuous functions and operators. Zbl 1057.65003
Battles, Zachary; Trefethen, Lloyd N.
88
2004
Talbot quadratures and rational approximations. Zbl 1103.65030
Trefethen, L. N.; Weideman, J. A. C.; Schmelzer, T.
82
2006
Computing \(A^\alpha, \log(A)\), and related matrix functions by contour integrals. Zbl 1176.65053
Hale, Nicholas; Higham, Nicholas J.; Trefethen, Lloyd N.
77
2008
The AAA algorithm for rational approximation. Zbl 1390.41015
Nakatsukasa, Yuji; Sète, Olivier; Trefethen, Lloyd N.
73
2018
Reviving the method of particular solutions. Zbl 1077.65116
Betcke, Timo; Trefethen, Lloyd N.
71
2005
Numerical computation of the Schwarz-Christoffel transformation. Zbl 0451.30004
Trefethen, Lloyd N.
71
1980
Eigenvalues and pseudo-eigenvalues of Toeplitz matrices. Zbl 0748.15010
Reichel, Lothar; Trefethen, Lloyd N.
65
1992
Impossibility of fast stable approximation of analytic functions from equispaced samples. Zbl 1247.41001
Platte, Rodrigo B.; Trefethen, Lloyd N.; Kuijlaars, Arno B. J.
63
2011
Linearized pipe flow to Reynolds number \(10^7\). Zbl 1047.76565
Meseguer, Á.; Trefethen, L. N.
62
2003
A rational spectral collocation method with adaptively transformed Chebyshev grid points. Zbl 1123.65105
Tee, T. W.; Trefethen, Lloyd N.
57
2006
Well-posedness of one-way wave equations and absorbing boundary conditions. Zbl 0618.65077
Trefethen, Lloyd N.; Halpern, Laurence
55
1986
Stability of the method of lines. Zbl 0734.65077
Reddy, Satish C.; Trefethen, Lloyd N.
55
1992
Computation of pseudospectra. Zbl 0945.65039
Trefethen, Lloyd N.
55
1999
The eigenvalues of second-order spectral differentiation matrices. Zbl 0666.65063
Weideman, J. A. C.; Trefethen, L. N.
54
1988
A hybrid GMRES algorithm for nonsymmetric linear systems. Zbl 0757.65035
Nachtigal, Noël M.; Reichel, Lothar; Trefethen, Lloyd N.
49
1992
Average-case stability of Gaussian elimination. Zbl 0703.65015
Trefethen, Lloyd N.; Schreiber, Robert S.
44
1990
Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals. Zbl 1186.65092
Schmelzer, Thomas; Trefethen, Lloyd N.
44
2007
An extension of Chebfun to two dimensions. Zbl 1300.65010
Townsend, Alex; Trefethen, Lloyd N.
42
2013
Approximation theory and numerical linear algebra. Zbl 0747.41005
Trefethen, L. N.
39
1990
On the resolvent condition in the Kreiss matrix theorem. Zbl 0559.15018
LeVeque, Randall J.; Trefethen, Lloyd N.
37
1984
Rational Chebyshev approximation on the unit disk. Zbl 0443.30046
Trefethen, Lloyd N.
37
1981
Near-circularity of the error curve in complex Chebyshev approximation. Zbl 0462.41004
Trefethen, Lloyd N.
35
1981
Pseudozeros of polynomials and pseudospectra of companion matrices. Zbl 0808.65053
Toh, Kim-Chuan; Trefethen, Lloyd N.
35
1994
An instability phenomenon in spectral methods. Zbl 0636.65124
Trefethen, Lloyd N.; Trummer, Manfred R.
35
1987
Computed eigenmodes of planar regions. Zbl 1107.65101
Trefethen, Lloyd N.; Betcke, Timo
34
2006
From potential theory to matrix iterations in six steps. Zbl 0930.65020
Driscoll, Tobin A.; Toh, Kim-Chuan; Trefethen, Lloyd N.
33
1998
Two results on polynomial interpolation in equally spaced points. Zbl 0736.41005
Trefethen, L. N.; Weideman, J. A. C.
33
1991
Numerical algorithms based on analytic function values at roots of unity. Zbl 1305.41006
Austin, Anthony P.; Kravanja, Peter; Trefethen, Lloyd N.
33
2014
Pseudospectra of the convection-diffusion operator. Zbl 0811.35026
Reddy, Satish C.; Trefethen, Lloyd N.
32
1994
Large-scale computation of pseudospectra using ARPACK and eigs. Zbl 0992.65030
Wright, Thomas G.; Trefethen, Lloyd N.
32
2001
Lax-stability of fully discrete spectral methods via stability regions and pseudo-eigenvalues. Zbl 0735.65070
Reddy, Satish C.; Trefethen, Lloyd N.
31
1990
Robust Padé approximation via SVD. Zbl 1266.41009
Gonnet, Pedro; Güttel, Stefan; Trefethen, Lloyd N.
30
2013
The Caratheodory-Fejer method for real rational approximation. Zbl 0526.41022
Trefethen, Lloyd N.; Gutknecht, Martin H.
29
1983
GMRES/CR and Arnoldi/Lanczos as matrix approximation problems. Zbl 0806.65031
Greenbaum, Anne; Trefethen, Lloyd N.
29
1994
Multivariate polynomial approximation in the hypercube. Zbl 1380.41011
Trefethen, Lloyd N.
29
2017
Calculation of pseudospectra by the Arnoldi iteration. Zbl 0842.65022
Toh, Kim-Chuan; Trefethen, Lloyd N.
28
1996
Stiffness of ODEs. Zbl 0782.65091
Higham, Desmond J.; Trefethen, Lloyd N.
28
1993
Robust rational interpolation and least-squares. Zbl 1293.65017
Gonnet, Pedro; Pachón, Ricardo; Trefethen, Lloyd N.
28
2011
Continuous analogues of matrix factorizations. Zbl 1372.65095
Townsend, Alex; Trefethen, Lloyd N.
27
2015
The chebop system for automatic solution of differential equations. Zbl 1162.65370
Driscoll, Tobin A.; Bornemann, Folkmar; Trefethen, Lloyd N.
26
2008
A mostly linear model of transition to turbulence. Zbl 1039.76509
Baggett, Jeffrey S.; Driscoll, Tobin A.; Trefethen, Lloyd N.
25
1995
Piecewise-smooth chebfuns. Zbl 1202.65016
Pachón, Ricardo; Platte, Rodrigo B.; Trefethen, Lloyd N.
24
2010
Numerical conformal mapping. Zbl 0572.00018
24
1986
Green’s functions for multiply connected domains via conformal mapping. Zbl 0938.30003
Embree, Mark; Trefethen, Lloyd N.
23
1999
Solving Laplace problems with corner singularities via rational functions. Zbl 1431.65223
Gopal, Abinand; Trefethen, Lloyd N.
23
2019
Extension of Chebfun to periodic functions. Zbl 1348.42003
Wright, Grady B.; Javed, Mohsin; Montanelli, Hadrien; Trefethen, Lloyd N.
23
2015
The kink phenomenon in Fejér and Clenshaw-Curtis quadrature. Zbl 1142.41010
Weideman, J. A. C.; Trefethen, L. N.
22
2007
Chebfun: A new kind of numerical computing. Zbl 1220.65100
Platte, R. B.; Trefethen, L. N.
22
2010
Rational minimax approximation via adaptive barycentric representations. Zbl 1396.41011
Filip, Silviu-Ioan; Nakatsukasa, Yuji; Trefethen, Lloyd N.; Beckermann, Bernhard
22
2018
Generalizing eigenvalue theorems to pseudospectra theorems. Zbl 0995.15003
Embree, Mark; Trefethen, Lloyd N.
22
2001
Cubature, approximation, and isotropy in the hypercube. Zbl 1406.41011
Trefethen, Lloyd N.
22
2017
Householder triangularization of a quasimatrix. Zbl 1202.65049
Trefethen, Lloyd N.
21
2010
Low-dimensional models of subcritical transition to turbulence. Zbl 1185.76574
Baggett, Jeffrey S.; Trefethen, Lloyd N.
20
1997
A modified Schwarz-Christoffel transformation for elongated regions. Zbl 0703.30006
Howell, Louis H.; Trefethen, Lloyd N.
20
1990
Instability of difference models for hyperbolic initial boundary value problems. Zbl 0575.65095
Trefethen, Lloyd N.
20
1984
Pseudospectra of rectangular matrices. Zbl 1038.65033
Wright, Thomas G.; Trefethen, Lloyd N.
20
2002
Group velocity interpretation of the stability theory of Gustafsson, Kreiss, and Sundstroem. Zbl 0501.65046
Trefethen, Lloyd N.
19
1983
Classical free-streamline flow over a polygonal obstacle. Zbl 0577.76018
Elcrat, Alan R.; Trefethen, Lloyd N.
19
1986
A sinc function analogue of Chebfun. Zbl 1234.41001
Richardson, Mark; Trefethen, Lloyd N.
18
2011
New quadrature formulas from conformal maps. Zbl 1173.65020
Hale, Nicholas; Trefethen, Lloyd N.
18
2008
Computing numerically with functions instead of numbers. Zbl 1145.41302
Trefethen, Lloyd N.
17
2007
The Kreiss matrix theorem on a general complex domain. Zbl 0946.65029
Toh, Kim-Chuan; Trefethen, Lloyd N.
17
1999
Chopping a Chebyshev series. Zbl 1380.65032
Aurentz, Jared L.; Trefethen, Lloyd N.
17
2017
Computing eigenvalues of real symmetric matrices with rational filters in real arithmetic. Zbl 1328.15016
Austin, Anthony P.; Trefethen, Lloyd N.
17
2015
The asymptotic accuracy of rational best approximations to \(e^ z\) on a disk. Zbl 0545.41019
Trefethen, Lloyd N.
16
1984
Chebfun and numerical quadrature. Zbl 1257.41018
Hale, Nicholas; Trefethen, Lloyd N.
16
2012
Computing the gamma function using contour integrals and rational approximations. Zbl 1153.65026
Schmelzer, Thomas; Trefethen, Lloyd N.
15
2007
Spectra and pseudospectra. The behaviour of non-normal matrices and operators. Zbl 0943.15003
Trefethen, Lloyd N.
15
1999
Stability of finite-difference models containing two boundaries or interfaces. Zbl 0627.65099
Trefethen, Lloyd N.
15
1985
Pseudospectra for the wave equation with an absorbing boundary. Zbl 0854.35060
Driscoll, Tobin A.; Trefethen, Lloyd N.
14
1996
From the Buffon needle problem to the Kreiss matrix theorem. Zbl 0799.30002
Wegert, Elias; Trefethen, Lloyd N.
14
1994
Series solution of Laplace problems. Zbl 1400.31001
Trefethen, Lloyd N.
14
2018
Growth and decay of random Fibonacci sequences. Zbl 0941.37038
Embree, Mark; Trefethen, Lloyd N.
14
1999
Stability of barycentric interpolation formulas for extrapolation. Zbl 1261.65015
Webb, Marcus; Trefethen, Lloyd N.; Gonnet, Pedro
14
2012
Wave packet pseudomodes of twisted Toeplitz matrices. Zbl 1055.15014
Trefethen, Lloyd N.; Chapman, S. J.
14
2004
The CF table. Zbl 0698.30039
Hayashi, Eric; Trefethen, Lloyd N.; Gutknecht, Martin H.
13
1990
Spectra, pseudospectra, and localization for random bidiagonal matrices. Zbl 1025.15034
Trefethen, Lloyd N.; Contedini, Marco; Embree, Mark
13
2001
Conformal mapping solution of Laplace’s equation on a polygon with oblique derivative boundary conditions. Zbl 0596.30014
Trefethen, Lloyd N.; Williams, Ruth J.
13
1986
Barycentric-Remez algorithms for best polynomial approximation in the chebfun system. Zbl 1179.65012
Pachón, Ricardo; Trefethen, Lloyd N.
13
2009
Wave packet pseudomodes of variable coefficient differential operators. Zbl 1206.34109
Trefethen, Lloyd N.
12
2005
Schwarz-Christoffel mapping in the computer era. Zbl 0896.30005
Trefethen, Lloyd N.; Driscoll, Tobin A.
12
1998
The Chebyshev polynomials of a matrix. Zbl 0922.65019
Toh, Kim-Chuan; Trefethen, Lloyd N.
12
1998
Representation of conformal maps by rational functions. Zbl 1414.30011
Gopal, Abinand; Trefethen, Lloyd N.
12
2019
Numerical conformal mapping with rational functions. Zbl 1461.30031
Trefethen, Lloyd N.
12
2020
Mathematics of the Faraday cage. Zbl 1339.31001
Chapman, S. Jonathan; Hewett, David P.; Trefethen, Lloyd N.
12
2015
AAA interpolation of equispaced data. Zbl 07678837
Huybrechs, Daan; Trefethen, Lloyd N.
3
2023
Exactness of quadrature formulas. Zbl 1515.65067
Trefethen, Lloyd N.
8
2022
Numerical linear algebra. Twenty-fifth anniversary edition. Zbl 1510.65092
Trefethen, Lloyd N.; Bau, David III
2
2022
Lightning Stokes solver. Zbl 1509.41008
Brubeck, Pablo D.; Trefethen, Lloyd N.
2
2022
Rectangular eigenvalue problems. Zbl 1510.65065
Hashemi, Behnam; Nakatsukasa, Yuji; Trefethen, Lloyd N.
1
2022
An applied mathematician’s apology. Zbl 1500.01002
Trefethen, Lloyd N.
1
2022
Vandermonde with Arnoldi. Zbl 1484.65022
Brubeck, Pablo D.; Nakatsukasa, Yuji; Trefethen, Lloyd N.
10
2021
Exponential node clustering at singularities for rational approximation, quadrature, and PDEs. Zbl 1467.65021
Trefethen, Lloyd N.; Nakatsukasa, Yuji; Weideman, J. A. C.
6
2021
Reciprocal-log approximation and planar PDE solvers. Zbl 1482.65220
Nakatsukasa, Yuji; Trefethen, Lloyd N.
6
2021
Numerical conformal mapping with rational functions. Zbl 1461.30031
Trefethen, Lloyd N.
12
2020
Approximation theory and approximation practice. Extended edition. Zbl 1437.41001
Trefethen, Lloyd N.
9
2020
An algorithm for real and complex rational minimax approximation. Zbl 1452.65035
Nakatsukasa, Yuji; Trefethen, Lloyd N.
8
2020
Quantifying the ill-conditioning of analytic continuation. Zbl 1461.30014
Trefethen, Lloyd N.
8
2020
Solving Laplace problems with corner singularities via rational functions. Zbl 1431.65223
Gopal, Abinand; Trefethen, Lloyd N.
23
2019
Representation of conformal maps by rational functions. Zbl 1414.30011
Gopal, Abinand; Trefethen, Lloyd N.
12
2019
New Laplace and Helmholtz solvers. Zbl 1431.65224
Gopal, Abinand; Trefethen, Lloyd N.
11
2019
Smooth random functions, random ODEs, and Gaussian processes. Zbl 1412.42006
Filip, Silviu; Javeed, Aurya; Trefethen, Lloyd N.
8
2019
The AAA algorithm for rational approximation. Zbl 1390.41015
Nakatsukasa, Yuji; Sète, Olivier; Trefethen, Lloyd N.
73
2018
Rational minimax approximation via adaptive barycentric representations. Zbl 1396.41011
Filip, Silviu-Ioan; Nakatsukasa, Yuji; Trefethen, Lloyd N.; Beckermann, Bernhard
22
2018
Series solution of Laplace problems. Zbl 1400.31001
Trefethen, Lloyd N.
14
2018
Exploring ODEs. Zbl 1402.34002
Trefethen, Lloyd N.; Birkisson, Ásgeir; Driscoll, Tobin A.
8
2018
Rational approximation of \(x^n\). Zbl 1402.41004
Nakatsukasa, Yuji; Trefethen, Lloyd N.
1
2018
Multivariate polynomial approximation in the hypercube. Zbl 1380.41011
Trefethen, Lloyd N.
29
2017
Cubature, approximation, and isotropy in the hypercube. Zbl 1406.41011
Trefethen, Lloyd N.
22
2017
Chopping a Chebyshev series. Zbl 1380.65032
Aurentz, Jared L.; Trefethen, Lloyd N.
17
2017
Chebfun in three dimensions. Zbl 1373.65011
Hashemi, Behnam; Trefethen, Lloyd N.
12
2017
Block operators and spectral discretizations. Zbl 1365.65153
Aurentz, Jared L.; Trefethen, Lloyd N.
10
2017
Trigonometric interpolation and quadrature in perturbed points. Zbl 1373.42004
Austin, Anthony P.; Trefethen, Lloyd N.
7
2017
Euler-Maclaurin and Gregory interpolants. Zbl 1334.41002
Javed, Mohsin; Trefethen, Lloyd N.
4
2016
Inverse Yogiism. Zbl 1352.01065
Trefethen, Lloyd N.
1
2016
Continuous analogues of matrix factorizations. Zbl 1372.65095
Townsend, Alex; Trefethen, Lloyd N.
27
2015
Extension of Chebfun to periodic functions. Zbl 1348.42003
Wright, Grady B.; Javed, Mohsin; Montanelli, Hadrien; Trefethen, Lloyd N.
23
2015
Computing eigenvalues of real symmetric matrices with rational filters in real arithmetic. Zbl 1328.15016
Austin, Anthony P.; Trefethen, Lloyd N.
17
2015
Mathematics of the Faraday cage. Zbl 1339.31001
Chapman, S. Jonathan; Hewett, David P.; Trefethen, Lloyd N.
12
2015
The exponentially convergent trapezoidal rule. Zbl 1307.65031
Trefethen, Lloyd N.; Weideman, J. A. C.
183
2014
Numerical algorithms based on analytic function values at roots of unity. Zbl 1305.41006
Austin, Anthony P.; Kravanja, Peter; Trefethen, Lloyd N.
33
2014
A trapezoidal rule error bound unifying the Euler-Maclaurin formula and geometric convergence for periodic functions. Zbl 1372.65068
Javed, Mohsin; Trefethen, Lloyd N.
10
2014
Approximation theory and approximation practice. Zbl 1264.41001
Trefethen, Lloyd N.
386
2013
An extension of Chebfun to two dimensions. Zbl 1300.65010
Townsend, Alex; Trefethen, Lloyd N.
42
2013
Robust Padé approximation via SVD. Zbl 1266.41009
Gonnet, Pedro; Güttel, Stefan; Trefethen, Lloyd N.
30
2013
Chebfun and numerical quadrature. Zbl 1257.41018
Hale, Nicholas; Trefethen, Lloyd N.
16
2012
Stability of barycentric interpolation formulas for extrapolation. Zbl 1261.65015
Webb, Marcus; Trefethen, Lloyd N.; Gonnet, Pedro
14
2012
Impossibility of fast stable approximation of analytic functions from equispaced samples. Zbl 1247.41001
Platte, Rodrigo B.; Trefethen, Lloyd N.; Kuijlaars, Arno B. J.
63
2011
Robust rational interpolation and least-squares. Zbl 1293.65017
Gonnet, Pedro; Pachón, Ricardo; Trefethen, Lloyd N.
28
2011
A sinc function analogue of Chebfun. Zbl 1234.41001
Richardson, Mark; Trefethen, Lloyd N.
18
2011
A robust implementation of the Carathéodory-Fejér method for rational approximation. Zbl 1287.41001
Van Deun, Joris; Trefethen, Lloyd N.
5
2011
Four bugs on a rectangle. Zbl 1231.91030
Chapman, S. J.; Lottes, James; Trefethen, Lloyd N.
1
2011
Piecewise-smooth chebfuns. Zbl 1202.65016
Pachón, Ricardo; Platte, Rodrigo B.; Trefethen, Lloyd N.
24
2010
Chebfun: A new kind of numerical computing. Zbl 1220.65100
Platte, R. B.; Trefethen, L. N.
22
2010
Householder triangularization of a quasimatrix. Zbl 1202.65049
Trefethen, Lloyd N.
21
2010
Barycentric-Remez algorithms for best polynomial approximation in the chebfun system. Zbl 1179.65012
Pachón, Ricardo; Trefethen, Lloyd N.
13
2009
Is Gauss quadrature better than Clenshaw-Curtis? Zbl 1141.65018
Trefethen, Lloyd N.
235
2008
Computing \(A^\alpha, \log(A)\), and related matrix functions by contour integrals. Zbl 1176.65053
Hale, Nicholas; Higham, Nicholas J.; Trefethen, Lloyd N.
77
2008
The chebop system for automatic solution of differential equations. Zbl 1162.65370
Driscoll, Tobin A.; Bornemann, Folkmar; Trefethen, Lloyd N.
26
2008
New quadrature formulas from conformal maps. Zbl 1173.65020
Hale, Nicholas; Trefethen, Lloyd N.
18
2008
Parabolic and hyperbolic contours for computing the Bromwich integral. Zbl 1113.65119
Weideman, J. A. C.; Trefethen, L. N.
100
2007
Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals. Zbl 1186.65092
Schmelzer, Thomas; Trefethen, Lloyd N.
44
2007
The kink phenomenon in Fejér and Clenshaw-Curtis quadrature. Zbl 1142.41010
Weideman, J. A. C.; Trefethen, L. N.
22
2007
Computing numerically with functions instead of numbers. Zbl 1145.41302
Trefethen, Lloyd N.
17
2007
Computing the gamma function using contour integrals and rational approximations. Zbl 1153.65026
Schmelzer, Thomas; Trefethen, Lloyd N.
15
2007
Talbot quadratures and rational approximations. Zbl 1103.65030
Trefethen, L. N.; Weideman, J. A. C.; Schmelzer, T.
82
2006
A rational spectral collocation method with adaptively transformed Chebyshev grid points. Zbl 1123.65105
Tee, T. W.; Trefethen, Lloyd N.
57
2006
Computed eigenmodes of planar regions. Zbl 1107.65101
Trefethen, Lloyd N.; Betcke, Timo
34
2006
Spectra and pseudospectra. The behavior of nonnormal matrices and operators. Zbl 1085.15009
Trefethen, Lloyd N.; Embree, Mark
529
2005
Fourth-order time-stepping for stiff PDEs. Zbl 1077.65105
Kassam, Aly-Khan; Trefethen, Lloyd N.
371
2005
Reviving the method of particular solutions. Zbl 1077.65116
Betcke, Timo; Trefethen, Lloyd N.
71
2005
Wave packet pseudomodes of variable coefficient differential operators. Zbl 1206.34109
Trefethen, Lloyd N.
12
2005
Barycentric Lagrange interpolation. Zbl 1061.65006
Berrut, Jean-Paul; Trefethen, Lloyd N.
321
2004
An extension of MATLAB to continuous functions and operators. Zbl 1057.65003
Battles, Zachary; Trefethen, Lloyd N.
88
2004
Wave packet pseudomodes of twisted Toeplitz matrices. Zbl 1055.15014
Trefethen, Lloyd N.; Chapman, S. J.
14
2004
Computations of eigenvalue avoidance in planar domains. Zbl 1354.65070
Betcke, T.; Trefethen, L. N.
1
2004
Linearized pipe flow to Reynolds number \(10^7\). Zbl 1047.76565
Meseguer, Á.; Trefethen, L. N.
62
2003
A multipole method for Schwarz-Christoffel mapping of polygons with thousands of sides. Zbl 1060.30012
Banjai, Lehel; Trefethen, L. N.
11
2003
Schwarz-Christoffel mapping. Zbl 1003.30005
Driscoll, Tobin A.; Trefethen, Lloyd N.
163
2002
Pseudospectra of rectangular matrices. Zbl 1038.65033
Wright, Thomas G.; Trefethen, Lloyd N.
20
2002
Piecewise continuous Toeplitz matrices and operators: Slow approach to infinity. Zbl 1022.47018
Böttcher, Albrecht; Embree, Mark; Trefethen, Lloyd N.
4
2002
Large-scale computation of pseudospectra using ARPACK and eigs. Zbl 0992.65030
Wright, Thomas G.; Trefethen, Lloyd N.
32
2001
Generalizing eigenvalue theorems to pseudospectra theorems. Zbl 0995.15003
Embree, Mark; Trefethen, Lloyd N.
22
2001
Spectra, pseudospectra, and localization for random bidiagonal matrices. Zbl 1025.15034
Trefethen, Lloyd N.; Contedini, Marco; Embree, Mark
13
2001
Computing Lyapunov constants for random recurrences with smooth coefficients. Zbl 0984.65135
Wright, Thomas G.; Trefethen, Lloyd N.
6
2001
Eigenvalues and musical instruments. Zbl 0994.34073
Howle, V. E.; Trefethen, Lloyd N.
1
2001
Numerical solution of the omitted area problem of univalent function theory. Zbl 1007.30009
Banjai, Lehel; Trefethen, Lloyd N.
1
2001
Spectral methods in Matlab. Zbl 0953.68643
Trefethen, Lloyd N.
2000
How many shuffles to randomize a deck of cards? Zbl 0968.60080
Trefethen, L. N.; Trefethen, L. M.
8
2000
Numerical linear algebra. Zbl 0984.65019
Trefethen, Lloyd N.; Bau, David
6
2000
Computation of pseudospectra. Zbl 0945.65039
Trefethen, Lloyd N.
55
1999
Green’s functions for multiply connected domains via conformal mapping. Zbl 0938.30003
Embree, Mark; Trefethen, Lloyd N.
23
1999
The Kreiss matrix theorem on a general complex domain. Zbl 0946.65029
Toh, Kim-Chuan; Trefethen, Lloyd N.
17
1999
Spectra and pseudospectra. The behaviour of non-normal matrices and operators. Zbl 0943.15003
Trefethen, Lloyd N.
15
1999
Growth and decay of random Fibonacci sequences. Zbl 0941.37038
Embree, Mark; Trefethen, Lloyd N.
14
1999
Spectra and pseudospectra for pipe Poiseuille flow. Zbl 0927.76078
Trefethen, Anne E.; Trefethen, Lloyd N.; Schmid, Peter J.
9
1999
From potential theory to matrix iterations in six steps. Zbl 0930.65020
Driscoll, Tobin A.; Toh, Kim-Chuan; Trefethen, Lloyd N.
33
1998
Schwarz-Christoffel mapping in the computer era. Zbl 0896.30005
Trefethen, Lloyd N.; Driscoll, Tobin A.
12
1998
The Chebyshev polynomials of a matrix. Zbl 0922.65019
Toh, Kim-Chuan; Trefethen, Lloyd N.
12
1998
Condition numbers of random triangular matrices. Zbl 0939.15012
Viswanath, D.; Trefethen, L. N.
11
1998
A numerical analyst looks at the “cutoff phenomenon” in card shuffling and other Markov chains. Zbl 0902.65017
Jónsson, G. F.; Trefethen, L. N.
5
1998
Numerical linear algebra. Zbl 0874.65013
Trefethen, Lloyd N.; Bau, David III
539
1997
Pseudospectra of linear operators. Zbl 0896.15006
Trefethen, Lloyd N.
137
1997
Low-dimensional models of subcritical transition to turbulence. Zbl 1185.76574
Baggett, Jeffrey S.; Trefethen, Lloyd N.
20
1997
Calculation of pseudospectra by the Arnoldi iteration. Zbl 0842.65022
Toh, Kim-Chuan; Trefethen, Lloyd N.
28
1996
...and 53 more Documents
all top 5

Cited by 7,478 Authors

62 Trefethen, Lloyd Nicholas
37 Xiang, Shuhuang
32 Boyd, John Philip
32 Owolabi, Kolade Matthew
32 Reichel, Lothar
29 Klein, Christian
28 Motsa, Sandile Sydney
24 Henningson, Dan S.
23 Nakatsukasa, Yuji
23 Townsend, Alex
20 Khaliq, Abdul Q. M.
19 Jeribi, Aref
19 Olver, Sheehan Shakiban
18 Ammar, Aymen
18 Barnett, Alex H.
18 Breda, Dimitri
18 Schmid, Peter Joseph
18 Sibanda, Precious
17 De Marchi, Stefano
17 Dehghan Takht Fooladi, Mehdi
17 Garrappa, Roberto
17 Kressner, Daniel
16 Greengard, Leslie F.
16 Wang, Haiyong
15 Berrut, Jean-Paul
15 Colbrook, Matthew J.
15 Corless, Robert Malcolm
15 Driscoll, Tobin A.
15 Sengupta, Tapan Kumar
15 Shateyi, Stanford
15 Wang, Lilian
14 Böttcher, Albrecht
14 Embree, Mark
14 Fornberg, Bengt
14 Peña, Juan Manuel
14 Vermiglio, Rossana
13 Güttel, Stefan
13 Huybrechs, Daan
13 Nasser, Mohamed M. S.
13 Novati, Paolo
13 Ostermann, Alexander
13 Pindza, Edson
13 Sherwin, Spencer J.
13 Simoncini, Valeria
13 Sugiura, Hiroshi
13 Tornberg, Anna-Karin
13 Van Barel, Marc
13 Vianello, Marco
13 Viloche Bazán, Fermín S.
13 Wu, Xionghua
12 DeLillo, Thomas K.
12 Elcrat, Alan R.
12 Gugercin, Serkan
12 Hasegawa, Takemitsu
12 Jovanović, Mihailo R.
12 Michiels, Wim
11 Antunes, Pedro Ricardo Simão
11 Bezrodnykh, Sergeĭ I.
11 Burrage, Kevin
11 Caliari, Marco
11 Greenbaum, Anne
11 Grubišić, Luka
11 Han, Zhongjie
11 Noschese, Silvia
11 Sadkane, Miloud
11 Spijker, Marc N.
11 Turner, Ian William
11 Vuorinen, Matti Keijo Kustaa
11 Xu, Gen-Qi
10 Adcock, Ben
10 Berriochoa, Elías
10 Cachafeiro, Alicia
10 Guglielmi, Nicola
10 Gutknecht, Martin H.
10 Jiang, Shidong
10 Ju, Lili
10 Kevrekidis, Panayotis G.
10 Kutz, J. Nathan
10 Lessard, Jean-Philippe
10 Lin, Lin
10 Liu, Wen-Jie
10 Martinsson, Per-Gunnar
10 Montanelli, Hadrien
10 Popolizio, Marina
10 Rojo, Oscar L.
10 Rowley, Clarence Worth
10 Trogdon, Thomas
10 Weideman, J. André C.
10 Zeitlin, Vladimir
10 Zhang, Zhimin
10 Zuazua, Enrique
9 Beckermann, Bernhard
9 de la Hoz, Francisco
9 Edelman, Alan Stuart
9 Glaubitz, Jan
9 Hochstenbach, Michiel E.
9 Javidi, Mohammad
9 Leok, Melvin
9 McKeon, Beverley J.
9 Nachbin, André
...and 7,378 more Authors
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Cited in 571 Serials

386 Journal of Computational Physics
324 Journal of Fluid Mechanics
318 Journal of Computational and Applied Mathematics
173 SIAM Journal on Scientific Computing
159 Applied Mathematics and Computation
150 Applied Numerical Mathematics
147 Linear Algebra and its Applications
128 Journal of Scientific Computing
117 Numerical Algorithms
99 Computers & Mathematics with Applications
98 Physics of Fluids
93 Numerische Mathematik
91 BIT
87 Mathematics of Computation
83 SIAM Journal on Matrix Analysis and Applications
75 Computer Methods in Applied Mechanics and Engineering
67 Physica D
55 SIAM Journal on Numerical Analysis
54 Advances in Computational Mathematics
47 Communications in Nonlinear Science and Numerical Simulation
44 Computers and Fluids
43 Engineering Analysis with Boundary Elements
40 Journal of Approximation Theory
40 Mathematics and Computers in Simulation
33 Computer Physics Communications
33 Computational and Applied Mathematics
33 Computational Methods and Function Theory
31 Constructive Approximation
31 Applied Mathematical Modelling
31 European Journal of Mechanics. B. Fluids
30 Journal of Engineering Mathematics
29 Wave Motion
29 Numerical Methods for Partial Differential Equations
29 SIAM Review
29 Mathematical Problems in Engineering
28 International Journal of Computer Mathematics
27 Journal of Mathematical Analysis and Applications
27 Chaos
26 Automatica
26 SIAM Journal on Applied Mathematics
26 SIAM Journal on Applied Dynamical Systems
25 International Journal for Numerical Methods in Fluids
25 Applied Mathematics Letters
24 Abstract and Applied Analysis
22 Numerical Linear Algebra with Applications
22 Foundations of Computational Mathematics
21 Chaos, Solitons and Fractals
21 Applied and Computational Harmonic Analysis
20 Journal of High Energy Physics
19 Communications in Mathematical Physics
19 Journal of Mathematical Physics
19 Journal of Physics A: Mathematical and Theoretical
18 International Journal of Control
18 International Journal for Numerical Methods in Engineering
18 Computational Mathematics and Mathematical Physics
18 International Journal of Applied and Computational Mathematics
16 Journal of Functional Analysis
16 Numerical Functional Analysis and Optimization
16 Nonlinear Dynamics
16 Multiscale Modeling & Simulation
15 SIAM Journal on Optimization
15 Journal of Nonlinear Science
15 Communications in Computational Physics
15 SIAM/ASA Journal on Uncertainty Quantification
14 Linear and Multilinear Algebra
14 Studies in Applied Mathematics
14 ETNA. Electronic Transactions on Numerical Analysis
13 Journal of Statistical Physics
13 Nonlinearity
13 Physics Letters. A
13 Calcolo
13 Journal of Differential Equations
13 Japan Journal of Industrial and Applied Mathematics
13 The ANZIAM Journal
13 Journal of Applied Mathematics
13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
13 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
12 ZAMP. Zeitschrift für angewandte Mathematik und Physik
12 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
11 Mathematical Notes
11 Systems & Control Letters
11 Mathematical and Computer Modelling
11 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
11 Statistics and Computing
10 American Mathematical Monthly
10 Communications on Pure and Applied Mathematics
10 Mathematical Methods in the Applied Sciences
10 Bulletin of Mathematical Biology
10 Theoretical and Computational Fluid Dynamics
10 Quarterly of Applied Mathematics
10 Discrete and Continuous Dynamical Systems. Series B
10 Acta Numerica
10 Advances in Difference Equations
10 SIAM Journal on Imaging Sciences
9 Inverse Problems
9 Integral Equations and Operator Theory
9 European Journal of Applied Mathematics
9 SIAM Journal on Mathematical Analysis
9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
9 International Journal of Nonlinear Sciences and Numerical Simulation
...and 471 more Serials
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Cited in 59 Fields

3,157 Numerical analysis (65-XX)
1,256 Partial differential equations (35-XX)
1,171 Fluid mechanics (76-XX)
482 Linear and multilinear algebra; matrix theory (15-XX)
479 Approximations and expansions (41-XX)
339 Ordinary differential equations (34-XX)
284 Operator theory (47-XX)
282 Functions of a complex variable (30-XX)
229 Dynamical systems and ergodic theory (37-XX)
216 Mechanics of deformable solids (74-XX)
200 Probability theory and stochastic processes (60-XX)
193 Systems theory; control (93-XX)
159 Biology and other natural sciences (92-XX)
149 Quantum theory (81-XX)
146 Special functions (33-XX)
143 Statistical mechanics, structure of matter (82-XX)
142 Computer science (68-XX)
136 Harmonic analysis on Euclidean spaces (42-XX)
128 Statistics (62-XX)
125 Integral equations (45-XX)
123 Operations research, mathematical programming (90-XX)
115 Optics, electromagnetic theory (78-XX)
114 Calculus of variations and optimal control; optimization (49-XX)
91 Real functions (26-XX)
85 Classical thermodynamics, heat transfer (80-XX)
80 Geophysics (86-XX)
77 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
73 Information and communication theory, circuits (94-XX)
60 Functional analysis (46-XX)
59 Integral transforms, operational calculus (44-XX)
54 Potential theory (31-XX)
44 Mechanics of particles and systems (70-XX)
37 Combinatorics (05-XX)
36 Relativity and gravitational theory (83-XX)
35 Differential geometry (53-XX)
29 Algebraic geometry (14-XX)
27 Global analysis, analysis on manifolds (58-XX)
21 Number theory (11-XX)
21 Difference and functional equations (39-XX)
18 Several complex variables and analytic spaces (32-XX)
17 Field theory and polynomials (12-XX)
15 History and biography (01-XX)
14 Astronomy and astrophysics (85-XX)
12 Convex and discrete geometry (52-XX)
10 Commutative algebra (13-XX)
10 Sequences, series, summability (40-XX)
8 General and overarching topics; collections (00-XX)
7 Geometry (51-XX)
5 Group theory and generalizations (20-XX)
5 Measure and integration (28-XX)
4 Mathematical logic and foundations (03-XX)
3 Manifolds and cell complexes (57-XX)
2 Associative rings and algebras (16-XX)
2 Algebraic topology (55-XX)
2 Mathematics education (97-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Category theory; homological algebra (18-XX)
1 Topological groups, Lie groups (22-XX)
1 General topology (54-XX)

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