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Trefethen, Lloyd Nicholas

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Author ID: trefethen.lloyd-n Recent zbMATH articles by "Trefethen, Lloyd Nicholas"
Published as: Trefethen, Lloyd N.; Trefethen, L. N.; Trefethen, Nick; Threfethen, Lloyd N.; Trefethen, Lloyd
Homepage: https://people.maths.ox.ac.uk/trefethen/
External Links: MGP · Wikidata · dblp · GND · IdRef
Documents Indexed: 167 Publications since 1980, including 8 Books
1 Contribution as Editor
Biographic References: 1 Publication
Co-Authors: 67 Co-Authors with 111 Joint Publications
1,550 Co-Co-Authors
all top 5

Serials

19 SIAM Review
18 SIAM Journal on Scientific Computing
12 SIAM Journal on Numerical Analysis
9 London Mathematical Society. Newsletter
7 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
4 IMA Journal of Numerical Analysis
4 Journal of Approximation Theory
3 Communications on Pure and Applied Mathematics
3 Mathematics of Computation
3 Other Titles in Applied Mathematics
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 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 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

Publications by Year

Citations contained in zbMATH Open

148 Publications have been cited 6,526 times in 4,727 Documents Cited by Year
Spectral methods in Matlab. Zbl 0953.68643
Trefethen, Lloyd N.
966
2000
Spectra and pseudospectra. The behavior of nonnormal matrices and operators. Zbl 1085.15009
Trefethen, Lloyd N.; Embree, Mark
436
2005
Numerical linear algebra. Zbl 0874.65013
Trefethen, Lloyd N.; Bau, David III
412
1997
Hydrodynamic stability without eigenvalues. Zbl 1226.76013
Trefethen, Lloyd N.; Trefethen, Anne E.; Reddy, Satish C.; Driscoll, Tobin A.
327
1993
Fourth-order time-stepping for stiff PDEs. Zbl 1077.65105
Kassam, Aly-Khan; Trefethen, Lloyd N.
317
2005
Approximation theory and approximation practice. Zbl 1264.41001
Trefethen, Lloyd N.
301
2013
Barycentric Lagrange interpolation. Zbl 1061.65006
Berrut, Jean-Paul; Trefethen, Lloyd N.
274
2004
Is Gauss quadrature better than Clenshaw-Curtis? Zbl 1141.65018
Trefethen, Lloyd N.
203
2008
The exponentially convergent trapezoidal rule. Zbl 1307.65031
Trefethen, Lloyd N.; Weideman, J. A. C.
144
2014
Group velocity in finite difference schemes. Zbl 0487.65055
Trefethen, Lloyd N.
138
1982
Schwarz-Christoffel mapping. Zbl 1003.30005
Driscoll, Tobin A.; Trefethen, Lloyd N.
129
2002
Pseudospectra of linear operators. Zbl 0896.15006
Trefethen, Lloyd N.
125
1997
How fast are nonsymmetric matrix iterations? Zbl 0754.65036
Nachtigal, Noël M.; Reddy, Satish C.; Trefethen, Lloyd N.
90
1992
Parabolic and hyperbolic contours for computing the Bromwich integral. Zbl 1113.65119
Weideman, J. A. C.; Trefethen, L. N.
84
2007
An extension of MATLAB to continuous functions and operators. Zbl 1057.65003
Battles, Zachary; Trefethen, Lloyd N.
82
2004
Pseudospectra of matrices. Zbl 0798.15005
Trefethen, L. N.
81
1992
Computing \(A^\alpha, \log(A)\), and related matrix functions by contour integrals. Zbl 1176.65053
Hale, Nicholas; Higham, Nicholas J.; Trefethen, Lloyd N.
68
2008
Reviving the method of particular solutions. Zbl 1077.65116
Betcke, Timo; Trefethen, Lloyd N.
67
2005
Talbot quadratures and rational approximations. Zbl 1103.65030
Trefethen, L. N.; Weideman, J. A. C.; Schmelzer, T.
66
2006
Numerical computation of the Schwarz-Christoffel transformation. Zbl 0451.30004
Trefethen, Lloyd N.
65
1980
Eigenvalues and pseudo-eigenvalues of Toeplitz matrices. Zbl 0748.15010
Reichel, Lothar; Trefethen, Lloyd N.
60
1992
Linearized pipe flow to Reynolds number \(10^7\). Zbl 1047.76565
Meseguer, Á.; Trefethen, L. N.
55
2003
Impossibility of fast stable approximation of analytic functions from equispaced samples. Zbl 1247.41001
Platte, Rodrigo B.; Trefethen, Lloyd N.; Kuijlaars, Arno B. J.
55
2011
Well-posedness of one-way wave equations and absorbing boundary conditions. Zbl 0618.65077
Trefethen, Lloyd N.; Halpern, Laurence
53
1986
Computation of pseudospectra. Zbl 0945.65039
Trefethen, Lloyd N.
53
1999
Stability of the method of lines. Zbl 0734.65077
Reddy, Satish C.; Trefethen, Lloyd N.
49
1992
The eigenvalues of second-order spectral differentiation matrices. Zbl 0666.65063
Weideman, J. A. C.; Trefethen, L. N.
48
1988
A hybrid GMRES algorithm for nonsymmetric linear systems. Zbl 0757.65035
Nachtigal, Noël M.; Reichel, Lothar; Trefethen, Lloyd N.
47
1992
A rational spectral collocation method with adaptively transformed Chebyshev grid points. Zbl 1123.65105
Tee, T. W.; Trefethen, Lloyd N.
46
2006
The AAA algorithm for rational approximation. Zbl 1390.41015
Nakatsukasa, Yuji; Sète, Olivier; Trefethen, Lloyd N.
44
2018
Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals. Zbl 1186.65092
Schmelzer, Thomas; Trefethen, Lloyd N.
41
2007
Average-case stability of Gaussian elimination. Zbl 0703.65015
Trefethen, Lloyd N.; Schreiber, Robert S.
40
1990
Approximation theory and numerical linear algebra. Zbl 0747.41005
Trefethen, L. N.
38
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.
36
1981
An extension of Chebfun to two dimensions. Zbl 1300.65010
Townsend, Alex; Trefethen, Lloyd N.
36
2013
Pseudozeros of polynomials and pseudospectra of companion matrices. Zbl 0808.65053
Toh, Kim-Chuan; Trefethen, Lloyd N.
34
1994
An instability phenomenon in spectral methods. Zbl 0636.65124
Trefethen, Lloyd N.; Trummer, Manfred R.
34
1987
Near-circularity of the error curve in complex Chebyshev approximation. Zbl 0462.41004
Trefethen, Lloyd N.
34
1981
Large-scale computation of pseudospectra using ARPACK and eigs. Zbl 0992.65030
Wright, Thomas G.; Trefethen, Lloyd N.
32
2001
Computed eigenmodes of planar regions. Zbl 1107.65101
Trefethen, Lloyd N.; Betcke, Timo
32
2006
Pseudospectra of the convection-diffusion operator. Zbl 0811.35026
Reddy, Satish C.; Trefethen, Lloyd N.
31
1994
Lax-stability of fully discrete spectral methods via stability regions and pseudo-eigenvalues. Zbl 0735.65070
Reddy, Satish C.; Trefethen, Lloyd N.
31
1990
From potential theory to matrix iterations in six steps. Zbl 0930.65020
Driscoll, Tobin A.; Toh, Kim-Chuan; Trefethen, Lloyd N.
30
1998
Two results on polynomial interpolation in equally spaced points. Zbl 0736.41005
Trefethen, L. N.; Weideman, J. A. C.
29
1991
The Caratheodory-Fejer method for real rational approximation. Zbl 0526.41022
Trefethen, Lloyd N.; Gutknecht, Martin H.
29
1983
Calculation of pseudospectra by the Arnoldi iteration. Zbl 0842.65022
Toh, Kim-Chuan; Trefethen, Lloyd N.
28
1996
Numerical algorithms based on analytic function values at roots of unity. Zbl 1305.41006
Austin, Anthony P.; Kravanja, Peter; Trefethen, Lloyd N.
28
2014
Stiffness of ODEs. Zbl 0782.65091
Higham, Desmond J.; Trefethen, Lloyd N.
24
1993
GMRES/CR and Arnoldi/Lanczos as matrix approximation problems. Zbl 0806.65031
Greenbaum, Anne; Trefethen, Lloyd N.
24
1994
The chebop system for automatic solution of differential equations. Zbl 1162.65370
Driscoll, Tobin A.; Bornemann, Folkmar; Trefethen, Lloyd N.
24
2008
Robust rational interpolation and least-squares. Zbl 1293.65017
Gonnet, Pedro; Pachón, Ricardo; Trefethen, Lloyd N.
24
2011
A mostly linear model of transition to turbulence. Zbl 1039.76509
Baggett, Jeffrey S.; Driscoll, Tobin A.; Trefethen, Lloyd N.
23
1995
Robust Padé approximation via SVD. Zbl 1266.41009
Gonnet, Pedro; Güttel, Stefan; Trefethen, Lloyd N.
23
2013
Generalizing eigenvalue theorems to pseudospectra theorems. Zbl 0995.15003
Embree, Mark; Trefethen, Lloyd N.
22
2001
Continuous analogues of matrix factorizations. Zbl 1372.65095
Townsend, Alex; Trefethen, Lloyd N.
22
2015
The kink phenomenon in Fejér and Clenshaw-Curtis quadrature. Zbl 1142.41010
Weideman, J. A. C.; Trefethen, L. N.
21
2007
Green’s functions for multiply connected domains via conformal mapping. Zbl 0938.30003
Embree, Mark; Trefethen, Lloyd N.
21
1999
Multivariate polynomial approximation in the hypercube. Zbl 1380.41011
Trefethen, Lloyd N.
21
2017
A modified Schwarz-Christoffel transformation for elongated regions. Zbl 0703.30006
Howell, Louis H.; Trefethen, Lloyd N.
20
1990
Chebfun: A new kind of numerical computing. Zbl 1220.65100
Platte, R. B.; Trefethen, L. N.
19
2010
Piecewise-smooth chebfuns. Zbl 1202.65016
Pachón, Ricardo; Platte, Rodrigo B.; Trefethen, Lloyd N.
19
2010
Instability of difference models for hyperbolic initial boundary value problems. Zbl 0575.65095
Trefethen, Lloyd N.
19
1984
Low-dimensional models of subcritical transition to turbulence. Zbl 1185.76574
Baggett, Jeffrey S.; Trefethen, Lloyd N.
18
1997
Classical free-streamline flow over a polygonal obstacle. Zbl 0577.76018
Elcrat, Alan R.; Trefethen, Lloyd N.
18
1986
Group velocity interpretation of the stability theory of Gustafsson, Kreiss, and Sundstroem. Zbl 0501.65046
Trefethen, Lloyd N.
17
1983
The Kreiss matrix theorem on a general complex domain. Zbl 0946.65029
Toh, Kim-Chuan; Trefethen, Lloyd N.
17
1999
Cubature, approximation, and isotropy in the hypercube. Zbl 1406.41011
Trefethen, Lloyd N.
17
2017
Extension of Chebfun to periodic functions. Zbl 1348.42003
Wright, Grady B.; Javed, Mohsin; Montanelli, Hadrien; Trefethen, Lloyd N.
17
2015
Numerical conformal mapping. Zbl 0572.00018
16
1986
Computing numerically with functions instead of numbers. Zbl 1145.41302
Trefethen, Lloyd N.
16
2007
Computing eigenvalues of real symmetric matrices with rational filters in real arithmetic. Zbl 1328.15016
Austin, Anthony P.; Trefethen, Lloyd N.
16
2015
The asymptotic accuracy of rational best approximations to \(e^ z\) on a disk. Zbl 0545.41019
Trefethen, Lloyd N.
16
1984
Pseudospectra of rectangular matrices. Zbl 1038.65033
Wright, Thomas G.; Trefethen, Lloyd N.
15
2002
Solving Laplace problems with corner singularities via rational functions. Zbl 1431.65223
Gopal, Abinand; Trefethen, Lloyd N.
15
2019
Rational minimax approximation via adaptive barycentric representations. Zbl 1396.41011
Filip, Silviu-Ioan; Nakatsukasa, Yuji; Trefethen, Lloyd N.; Beckermann, Bernhard
15
2018
Householder triangularization of a quasimatrix. Zbl 1202.65049
Trefethen, Lloyd N.
15
2010
A sinc function analogue of Chebfun. Zbl 1234.41001
Richardson, Mark; Trefethen, Lloyd N.
15
2011
Spectra and pseudospectra. The behaviour of non-normal matrices and operators. Zbl 0943.15003
Trefethen, Lloyd N.
15
1999
Wave packet pseudomodes of twisted Toeplitz matrices. Zbl 1055.15014
Trefethen, Lloyd N.; Chapman, S. J.
14
2004
Stability of finite-difference models containing two boundaries or interfaces. Zbl 0627.65099
Trefethen, Lloyd N.
14
1985
The CF table. Zbl 0698.30039
Hayashi, Eric; Trefethen, Lloyd N.; Gutknecht, Martin H.
14
1990
Growth and decay of random Fibonacci sequences. Zbl 0941.37038
Embree, Mark; Trefethen, Lloyd N.
14
1999
Spectra, pseudospectra, and localization for random bidiagonal matrices. Zbl 1025.15034
Trefethen, Lloyd N.; Contedini, Marco; Embree, Mark
13
2001
From the Buffon needle problem to the Kreiss matrix theorem. Zbl 0799.30002
Wegert, Elias; Trefethen, Lloyd N.
13
1994
New quadrature formulas from conformal maps. Zbl 1173.65020
Hale, Nicholas; Trefethen, Lloyd N.
13
2008
Chebfun and numerical quadrature. Zbl 1257.41018
Hale, Nicholas; Trefethen, Lloyd N.
13
2012
Pseudospectra for the wave equation with an absorbing boundary. Zbl 0854.35060
Driscoll, Tobin A.; Trefethen, Lloyd N.
13
1996
Stability of barycentric interpolation formulas for extrapolation. Zbl 1261.65015
Webb, Marcus; Trefethen, Lloyd N.; Gonnet, Pedro
12
2012
Wave packet pseudomodes of variable coefficient differential operators. Zbl 1206.34109
Trefethen, Lloyd N.
12
2005
Computing the gamma function using contour integrals and rational approximations. Zbl 1153.65026
Schmelzer, Thomas; Trefethen, Lloyd N.
12
2007
A multipole method for Schwarz-Christoffel mapping of polygons with thousands of sides. Zbl 1060.30012
Banjai, Lehel; Trefethen, L. N.
11
2003
Chopping a Chebyshev series. Zbl 1380.65032
Aurentz, Jared L.; Trefethen, Lloyd N.
11
2017
Dispersion, dissipation and stability. Zbl 0651.65066
Trefethen, L. N.
11
1986
Conformal mapping solution of Laplace’s equation on a polygon with oblique derivative boundary conditions. Zbl 0596.30014
Trefethen, Lloyd N.; Williams, Ruth J.
11
1986
The Chebyshev polynomials of a matrix. Zbl 0922.65019
Toh, Kim-Chuan; Trefethen, Lloyd N.
11
1998
Chebfun in three dimensions. Zbl 1373.65011
Hashemi, Behnam; Trefethen, Lloyd N.
11
2017
Condition numbers of random triangular matrices. Zbl 0939.15012
Viswanath, D.; Trefethen, L. N.
10
1998
Barycentric-Remez algorithms for best polynomial approximation in the chebfun system. Zbl 1179.65012
Pachón, Ricardo; Trefethen, Lloyd N.
10
2009
New Laplace and Helmholtz solvers. Zbl 1431.65224
Gopal, Abinand; Trefethen, Lloyd N.
9
2019
Exactness of quadrature formulas. Zbl 07468741
Trefethen, Lloyd N.
1
2022
Vandermonde with Arnoldi. Zbl 1484.65022
Brubeck, Pablo D.; Nakatsukasa, Yuji; Trefethen, Lloyd N.
5
2021
Exponential node clustering at singularities for rational approximation, quadrature, and PDEs. Zbl 1467.65021
Trefethen, Lloyd N.; Nakatsukasa, Yuji; Weideman, J. A. C.
4
2021
Reciprocal-log approximation and planar PDE solvers. Zbl 1482.65220
Nakatsukasa, Yuji; Trefethen, Lloyd N.
2
2021
An algorithm for real and complex rational minimax approximation. Zbl 1452.65035
Nakatsukasa, Yuji; Trefethen, Lloyd N.
6
2020
Approximation theory and approximation practice. Extended edition. Zbl 1437.41001
Trefethen, Lloyd N.
5
2020
Numerical conformal mapping with rational functions. Zbl 1461.30031
Trefethen, Lloyd N.
5
2020
Quantifying the ill-conditioning of analytic continuation. Zbl 1461.30014
Trefethen, Lloyd N.
3
2020
Solving Laplace problems with corner singularities via rational functions. Zbl 1431.65223
Gopal, Abinand; Trefethen, Lloyd N.
15
2019
New Laplace and Helmholtz solvers. Zbl 1431.65224
Gopal, Abinand; Trefethen, Lloyd N.
9
2019
Representation of conformal maps by rational functions. Zbl 1414.30011
Gopal, Abinand; Trefethen, Lloyd N.
9
2019
Smooth random functions, random ODEs, and Gaussian processes. Zbl 1412.42006
Filip, Silviu; Javeed, Aurya; Trefethen, Lloyd N.
5
2019
The AAA algorithm for rational approximation. Zbl 1390.41015
Nakatsukasa, Yuji; Sète, Olivier; Trefethen, Lloyd N.
44
2018
Rational minimax approximation via adaptive barycentric representations. Zbl 1396.41011
Filip, Silviu-Ioan; Nakatsukasa, Yuji; Trefethen, Lloyd N.; Beckermann, Bernhard
15
2018
Series solution of Laplace problems. Zbl 1400.31001
Trefethen, Lloyd N.
7
2018
Exploring ODEs. Zbl 1402.34002
Trefethen, Lloyd N.; Birkisson, Ásgeir; Driscoll, Tobin A.
4
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.
21
2017
Cubature, approximation, and isotropy in the hypercube. Zbl 1406.41011
Trefethen, Lloyd N.
17
2017
Chopping a Chebyshev series. Zbl 1380.65032
Aurentz, Jared L.; Trefethen, Lloyd N.
11
2017
Chebfun in three dimensions. Zbl 1373.65011
Hashemi, Behnam; Trefethen, Lloyd N.
11
2017
Block operators and spectral discretizations. Zbl 1365.65153
Aurentz, Jared L.; Trefethen, Lloyd N.
7
2017
Trigonometric interpolation and quadrature in perturbed points. Zbl 1373.42004
Austin, Anthony P.; Trefethen, Lloyd N.
6
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.
22
2015
Extension of Chebfun to periodic functions. Zbl 1348.42003
Wright, Grady B.; Javed, Mohsin; Montanelli, Hadrien; Trefethen, Lloyd N.
17
2015
Computing eigenvalues of real symmetric matrices with rational filters in real arithmetic. Zbl 1328.15016
Austin, Anthony P.; Trefethen, Lloyd N.
16
2015
Mathematics of the Faraday cage. Zbl 1339.31001
Chapman, S. Jonathan; Hewett, David P.; Trefethen, Lloyd N.
8
2015
The exponentially convergent trapezoidal rule. Zbl 1307.65031
Trefethen, Lloyd N.; Weideman, J. A. C.
144
2014
Numerical algorithms based on analytic function values at roots of unity. Zbl 1305.41006
Austin, Anthony P.; Kravanja, Peter; Trefethen, Lloyd N.
28
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.
8
2014
Approximation theory and approximation practice. Zbl 1264.41001
Trefethen, Lloyd N.
301
2013
An extension of Chebfun to two dimensions. Zbl 1300.65010
Townsend, Alex; Trefethen, Lloyd N.
36
2013
Robust Padé approximation via SVD. Zbl 1266.41009
Gonnet, Pedro; Güttel, Stefan; Trefethen, Lloyd N.
23
2013
Chebfun and numerical quadrature. Zbl 1257.41018
Hale, Nicholas; Trefethen, Lloyd N.
13
2012
Stability of barycentric interpolation formulas for extrapolation. Zbl 1261.65015
Webb, Marcus; Trefethen, Lloyd N.; Gonnet, Pedro
12
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.
55
2011
Robust rational interpolation and least-squares. Zbl 1293.65017
Gonnet, Pedro; Pachón, Ricardo; Trefethen, Lloyd N.
24
2011
A sinc function analogue of Chebfun. Zbl 1234.41001
Richardson, Mark; Trefethen, Lloyd N.
15
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
Chebfun: A new kind of numerical computing. Zbl 1220.65100
Platte, R. B.; Trefethen, L. N.
19
2010
Piecewise-smooth chebfuns. Zbl 1202.65016
Pachón, Ricardo; Platte, Rodrigo B.; Trefethen, Lloyd N.
19
2010
Householder triangularization of a quasimatrix. Zbl 1202.65049
Trefethen, Lloyd N.
15
2010
Barycentric-Remez algorithms for best polynomial approximation in the chebfun system. Zbl 1179.65012
Pachón, Ricardo; Trefethen, Lloyd N.
10
2009
Is Gauss quadrature better than Clenshaw-Curtis? Zbl 1141.65018
Trefethen, Lloyd N.
203
2008
Computing \(A^\alpha, \log(A)\), and related matrix functions by contour integrals. Zbl 1176.65053
Hale, Nicholas; Higham, Nicholas J.; Trefethen, Lloyd N.
68
2008
The chebop system for automatic solution of differential equations. Zbl 1162.65370
Driscoll, Tobin A.; Bornemann, Folkmar; Trefethen, Lloyd N.
24
2008
New quadrature formulas from conformal maps. Zbl 1173.65020
Hale, Nicholas; Trefethen, Lloyd N.
13
2008
Parabolic and hyperbolic contours for computing the Bromwich integral. Zbl 1113.65119
Weideman, J. A. C.; Trefethen, L. N.
84
2007
Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals. Zbl 1186.65092
Schmelzer, Thomas; Trefethen, Lloyd N.
41
2007
The kink phenomenon in Fejér and Clenshaw-Curtis quadrature. Zbl 1142.41010
Weideman, J. A. C.; Trefethen, L. N.
21
2007
Computing numerically with functions instead of numbers. Zbl 1145.41302
Trefethen, Lloyd N.
16
2007
Computing the gamma function using contour integrals and rational approximations. Zbl 1153.65026
Schmelzer, Thomas; Trefethen, Lloyd N.
12
2007
Talbot quadratures and rational approximations. Zbl 1103.65030
Trefethen, L. N.; Weideman, J. A. C.; Schmelzer, T.
66
2006
A rational spectral collocation method with adaptively transformed Chebyshev grid points. Zbl 1123.65105
Tee, T. W.; Trefethen, Lloyd N.
46
2006
Computed eigenmodes of planar regions. Zbl 1107.65101
Trefethen, Lloyd N.; Betcke, Timo
32
2006
Spectra and pseudospectra. The behavior of nonnormal matrices and operators. Zbl 1085.15009
Trefethen, Lloyd N.; Embree, Mark
436
2005
Fourth-order time-stepping for stiff PDEs. Zbl 1077.65105
Kassam, Aly-Khan; Trefethen, Lloyd N.
317
2005
Reviving the method of particular solutions. Zbl 1077.65116
Betcke, Timo; Trefethen, Lloyd N.
67
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.
274
2004
An extension of MATLAB to continuous functions and operators. Zbl 1057.65003
Battles, Zachary; Trefethen, Lloyd N.
82
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.
55
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.
129
2002
Pseudospectra of rectangular matrices. Zbl 1038.65033
Wright, Thomas G.; Trefethen, Lloyd N.
15
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
Numerical solution of the omitted area problem of univalent function theory. Zbl 1007.30009
Banjai, Lehel; Trefethen, Lloyd N.
1
2001
Eigenvalues and musical instruments. Zbl 0994.34073
Howle, V. E.; Trefethen, Lloyd N.
1
2001
Spectral methods in Matlab. Zbl 0953.68643
Trefethen, Lloyd N.
966
2000
How many shuffles to randomize a deck of cards? Zbl 0968.60080
Trefethen, L. N.; Trefethen, L. M.
7
2000
Numerical linear algebra. Zbl 0984.65019
Trefethen, Lloyd N.; Bau, David
4
2000
Computation of pseudospectra. Zbl 0945.65039
Trefethen, Lloyd N.
53
1999
Green’s functions for multiply connected domains via conformal mapping. Zbl 0938.30003
Embree, Mark; Trefethen, Lloyd N.
21
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.
5
1999
From potential theory to matrix iterations in six steps. Zbl 0930.65020
Driscoll, Tobin A.; Toh, Kim-Chuan; Trefethen, Lloyd N.
30
1998
The Chebyshev polynomials of a matrix. Zbl 0922.65019
Toh, Kim-Chuan; Trefethen, Lloyd N.
11
1998
Condition numbers of random triangular matrices. Zbl 0939.15012
Viswanath, D.; Trefethen, L. N.
10
1998
Schwarz-Christoffel mapping in the computer era. Zbl 0896.30005
Trefethen, Lloyd N.; Driscoll, Tobin A.
9
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.
4
1998
Numerical linear algebra. Zbl 0874.65013
Trefethen, Lloyd N.; Bau, David III
412
1997
Pseudospectra of linear operators. Zbl 0896.15006
Trefethen, Lloyd N.
125
1997
Low-dimensional models of subcritical transition to turbulence. Zbl 1185.76574
Baggett, Jeffrey S.; Trefethen, Lloyd N.
18
1997
Calculation of pseudospectra by the Arnoldi iteration. Zbl 0842.65022
Toh, Kim-Chuan; Trefethen, Lloyd N.
28
1996
Pseudospectra for the wave equation with an absorbing boundary. Zbl 0854.35060
Driscoll, Tobin A.; Trefethen, Lloyd N.
13
1996
Pseudospectra of linear operators. Zbl 0848.47001
Trefethen, Lloyd N.
4
1996
A mostly linear model of transition to turbulence. Zbl 1039.76509
Baggett, Jeffrey S.; Driscoll, Tobin A.; Trefethen, Lloyd N.
23
1995
Pseudozeros of polynomials and pseudospectra of companion matrices. Zbl 0808.65053
Toh, Kim-Chuan; Trefethen, Lloyd N.
34
1994
Pseudospectra of the convection-diffusion operator. Zbl 0811.35026
Reddy, Satish C.; Trefethen, Lloyd N.
31
1994
...and 48 more Documents
all top 5

Cited by 6,396 Authors

57 Trefethen, Lloyd Nicholas
31 Boyd, John Philip
31 Reichel, Lothar
31 Xiang, Shuhuang
30 Motsa, Sandile Sydney
25 Klein, Christian
23 Owolabi, Kolade Matthew
21 Nakatsukasa, Yuji
21 Sibanda, Precious
20 Henningson, Dan S.
19 Khaliq, Abdul Q. M.
19 Townsend, Alex
17 Barnett, Alex H.
17 Dehghan Takht Fooladi, Mehdi
17 Jeribi, Aref
17 Olver, Sheehan Shakiban
17 Schmid, Peter Joseph
16 Garrappa, Roberto
15 Ammar, Aymen
15 De Marchi, Stefano
15 Shateyi, Stanford
14 Driscoll, Tobin A.
14 Kressner, Daniel
13 Berrut, Jean-Paul
13 Böttcher, Albrecht
13 Breda, Dimitri
13 Corless, Robert Malcolm
13 Greengard, Leslie F.
13 Sengupta, Tapan Kumar
13 Simoncini, Valeria
13 Wang, Haiyong
12 DeLillo, Thomas K.
12 Elcrat, Alan R.
12 Fornberg, Bengt
12 Huybrechs, Daan
12 Novati, Paolo
12 Ostermann, Alexander
12 Sherwin, Spencer J.
12 Van Barel, Marc
12 Vermiglio, Rossana
12 Viloche Bazán, Fermín S.
12 Wang, Lilian
12 Wu, Xionghua
11 Embree, Mark
11 Güttel, Stefan
11 Jovanović, Mihailo R.
11 Michiels, Wim
11 Noschese, Silvia
11 Peña, Juan Manuel
11 Spijker, Marc N.
11 Sugiura, Hiroshi
11 Vianello, Marco
10 Adcock, Ben
10 Antunes, Pedro Ricardo Simão
10 Burrage, Kevin
10 Caliari, Marco
10 Colbrook, Matthew J.
10 Gutknecht, Martin H.
10 Hasegawa, Takemitsu
10 Popolizio, Marina
10 Rojo, Oscar L.
10 Tornberg, Anna-Karin
10 Weideman, J. André C.
10 Zhang, Zhimin
10 Zuazua, Enrique
9 Berriochoa, Elías
9 Cachafeiro, Alicia
9 de la Hoz, Francisco
9 Greenbaum, Anne
9 Grubišić, Luka
9 Han, Zhongjie
9 Hochstenbach, Michiel E.
9 Javidi, Mohammad
9 Ju, Lili
9 Lessard, Jean-Philippe
9 Lin, Lin
9 Nasser, Mohamed M. S.
9 Patidar, Kailash C.
9 Pindza, Edson
9 Saad, Yousef
9 Sadkane, Miloud
9 Xu, Gen-Qi
9 Zeitlin, Vladimir
9 Zhang, Yongtao
8 Atzberger, Paul J.
8 Beckermann, Bernhard
8 Bezrodnykh, Sergeĭ I.
8 Cavalieri, André V. G.
8 Colonius, Tim
8 Dutykh, Denys
8 Gemignani, Luca
8 Gugercin, Serkan
8 Guglielmi, Nicola
8 Jiang, Shidong
8 Kalliadasis, Serafim
8 López-Fernández, María
8 McKeon, Beverley J.
8 Montanelli, Hadrien
8 Nachbin, André
8 Ovall, Jeffrey S.
...and 6,296 more Authors
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Cited in 521 Serials

341 Journal of Computational Physics
290 Journal of Computational and Applied Mathematics
282 Journal of Fluid Mechanics
142 Linear Algebra and its Applications
140 Applied Mathematics and Computation
138 Applied Numerical Mathematics
130 SIAM Journal on Scientific Computing
111 Journal of Scientific Computing
99 Numerical Algorithms
98 Physics of Fluids
89 Computers & Mathematics with Applications
89 Numerische Mathematik
80 BIT
79 Mathematics of Computation
66 SIAM Journal on Matrix Analysis and Applications
61 Computer Methods in Applied Mechanics and Engineering
54 Physica D
43 SIAM Journal on Numerical Analysis
42 Advances in Computational Mathematics
42 Engineering Analysis with Boundary Elements
41 Computers and Fluids
38 Communications in Nonlinear Science and Numerical Simulation
33 Journal of Approximation Theory
33 Mathematics and Computers in Simulation
32 Computational Methods and Function Theory
29 Constructive Approximation
28 Journal of Engineering Mathematics
27 Wave Motion
27 Applied Mathematical Modelling
27 SIAM Review
27 Mathematical Problems in Engineering
27 European Journal of Mechanics. B. Fluids
26 Computational and Applied Mathematics
26 Chaos
25 International Journal for Numerical Methods in Fluids
24 Computer Physics Communications
24 Journal of Mathematical Analysis and Applications
24 Automatica
24 SIAM Journal on Applied Mathematics
23 International Journal of Computer Mathematics
22 Applied Mathematics Letters
22 Numerical Linear Algebra with Applications
21 Abstract and Applied Analysis
20 SIAM Journal on Applied Dynamical Systems
19 Foundations of Computational Mathematics
18 International Journal of Control
18 International Journal for Numerical Methods in Engineering
17 Journal of Mathematical Physics
16 Numerical Methods for Partial Differential Equations
15 Communications in Mathematical Physics
15 Chaos, Solitons and Fractals
15 Numerical Functional Analysis and Optimization
15 Nonlinear Dynamics
15 Communications in Computational Physics
15 International Journal of Applied and Computational Mathematics
14 Journal of Functional Analysis
14 Computational Mathematics and Mathematical Physics
14 Applied and Computational Harmonic Analysis
13 Multiscale Modeling & Simulation
13 SIAM/ASA Journal on Uncertainty Quantification
13 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
12 Journal of Statistical Physics
12 Japan Journal of Industrial and Applied Mathematics
12 SIAM Journal on Optimization
12 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
12 Journal of High Energy Physics
12 The ANZIAM Journal
11 Nonlinearity
11 Calcolo
11 Mathematical and Computer Modelling
11 Journal of Nonlinear Science
11 ETNA. Electronic Transactions on Numerical Analysis
11 Journal of Applied Mathematics
11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
10 American Mathematical Monthly
10 Linear and Multilinear Algebra
10 Mathematical Methods in the Applied Sciences
10 Mathematical Notes
10 ZAMP. Zeitschrift für angewandte Mathematik und Physik
10 Theoretical and Computational Fluid Dynamics
10 Journal of Differential Equations
10 Studies in Applied Mathematics
9 Physics Letters. A
9 Bulletin of Mathematical Biology
9 Integral Equations and Operator Theory
9 Quarterly of Applied Mathematics
9 Systems & Control Letters
9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
9 Complex Variables and Elliptic Equations
8 Bulletin of the American Mathematical Society. New Series
8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
8 Computational Geosciences
8 Discrete and Continuous Dynamical Systems. Series B
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Advances in Difference Equations
8 Advances in Mathematical Physics
8 Statistics and Computing
7 Acta Mechanica
7 Journal of the Franklin Institute
7 Proceedings of the American Mathematical Society
...and 421 more Serials
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Cited in 57 Fields

2,691 Numerical analysis (65-XX)
1,054 Partial differential equations (35-XX)
1,035 Fluid mechanics (76-XX)
405 Linear and multilinear algebra; matrix theory (15-XX)
405 Approximations and expansions (41-XX)
306 Ordinary differential equations (34-XX)
245 Functions of a complex variable (30-XX)
243 Operator theory (47-XX)
197 Dynamical systems and ergodic theory (37-XX)
195 Mechanics of deformable solids (74-XX)
171 Systems theory; control (93-XX)
165 Probability theory and stochastic processes (60-XX)
136 Biology and other natural sciences (92-XX)
124 Statistical mechanics, structure of matter (82-XX)
122 Special functions (33-XX)
109 Quantum theory (81-XX)
108 Harmonic analysis on Euclidean spaces (42-XX)
103 Optics, electromagnetic theory (78-XX)
100 Integral equations (45-XX)
98 Statistics (62-XX)
98 Computer science (68-XX)
96 Calculus of variations and optimal control; optimization (49-XX)
90 Operations research, mathematical programming (90-XX)
74 Geophysics (86-XX)
71 Real functions (26-XX)
71 Classical thermodynamics, heat transfer (80-XX)
66 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
52 Information and communication theory, circuits (94-XX)
48 Potential theory (31-XX)
48 Integral transforms, operational calculus (44-XX)
47 Functional analysis (46-XX)
36 Mechanics of particles and systems (70-XX)
32 Combinatorics (05-XX)
29 Relativity and gravitational theory (83-XX)
27 Differential geometry (53-XX)
22 Global analysis, analysis on manifolds (58-XX)
21 Algebraic geometry (14-XX)
20 Number theory (11-XX)
20 Difference and functional equations (39-XX)
17 Several complex variables and analytic spaces (32-XX)
15 History and biography (01-XX)
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12 Astronomy and astrophysics (85-XX)
10 Convex and discrete geometry (52-XX)
9 Commutative algebra (13-XX)
8 General and overarching topics; collections (00-XX)
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6 Mathematical logic and foundations (03-XX)
4 Geometry (51-XX)
3 Group theory and generalizations (20-XX)
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3 Mathematics education (97-XX)
2 Associative rings and algebras (16-XX)
2 General topology (54-XX)
2 Manifolds and cell complexes (57-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Algebraic topology (55-XX)

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