×

zbMATH — the first resource for mathematics

Trefethen, Lloyd Nicholas

Compute Distance To:
Author ID: trefethen.lloyd-n Recent zbMATH articles by "Trefethen, Lloyd Nicholas"
Published as: Threfethen, Lloyd N.; Trefethen, L. N.; Trefethen, Lloyd; Trefethen, Lloyd N.
Homepage: https://people.maths.ox.ac.uk/trefethen/
External Links: MGP · Wikidata · dblp · GND
Documents Indexed: 155 Publications since 1980, including 9 Books
Biographic References: 1 Publication
all top 5

Serials

17 SIAM Review
17 SIAM Journal on Scientific Computing
11 SIAM Journal on Numerical Analysis
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

141 Publications have been cited 5,833 times in 4,222 Documents Cited by Year
Spectral methods in Matlab. Zbl 0953.68643
Trefethen, Lloyd N.
861
2000
Numerical linear algebra. Zbl 0874.65013
Trefethen, Lloyd N.; Bau, David III
401
1997
Spectra and pseudospectra. The behavior of nonnormal matrices and operators. Zbl 1085.15009
Trefethen, Lloyd N.; Embree, Mark
398
2005
Hydrodynamic stability without eigenvalues. Zbl 1226.76013
Trefethen, Lloyd N.; Trefethen, Anne E.; Reddy, Satish C.; Driscoll, Tobin A.
307
1993
Fourth-order time-stepping for stiff PDEs. Zbl 1077.65105
Kassam, Aly-Khan; Trefethen, Lloyd N.
273
2005
Approximation theory and approximation practice. Zbl 1264.41001
Trefethen, Lloyd N.
239
2013
Barycentric Lagrange interpolation. Zbl 1061.65006
Berrut, Jean-Paul; Trefethen, Lloyd N.
228
2004
Is Gauss quadrature better than Clenshaw-Curtis? Zbl 1141.65018
Trefethen, Lloyd N.
178
2008
Group velocity in finite difference schemes. Zbl 0487.65055
Trefethen, Lloyd N.
136
1982
The exponentially convergent trapezoidal rule. Zbl 1307.65031
Trefethen, Lloyd N.; Weideman, J. A. C.
122
2014
Schwarz-Christoffel mapping. Zbl 1003.30005
Driscoll, Tobin A.; Trefethen, Lloyd N.
118
2002
Pseudospectra of linear operators. Zbl 0896.15006
Trefethen, Lloyd N.
116
1997
How fast are nonsymmetric matrix iterations? Zbl 0754.65036
Nachtigal, Noël M.; Reddy, Satish C.; Trefethen, Lloyd N.
85
1992
Parabolic and hyperbolic contours for computing the Bromwich integral. Zbl 1113.65119
Weideman, J. A. C.; Trefethen, L. N.
75
2007
Pseudospectra of matrices. Zbl 0798.15005
Trefethen, L. N.
75
1992
An extension of MATLAB to continuous functions and operators. Zbl 1057.65003
Battles, Zachary; Trefethen, Lloyd N.
68
2004
Numerical computation of the Schwarz-Christoffel transformation. Zbl 0451.30004
Trefethen, Lloyd N.
64
1980
Reviving the method of particular solutions. Zbl 1077.65116
Betcke, Timo; Trefethen, Lloyd N.
60
2005
Computing \(A^\alpha, \log(A)\), and related matrix functions by contour integrals. Zbl 1176.65053
Hale, Nicholas; Higham, Nicholas J.; Trefethen, Lloyd N.
59
2008
Talbot quadratures and rational approximations. Zbl 1103.65030
Trefethen, L. N.; Weideman, J. A. C.; Schmelzer, T.
58
2006
Well-posedness of one-way wave equations and absorbing boundary conditions. Zbl 0618.65077
Trefethen, Lloyd N.; Halpern, Laurence
52
1986
Impossibility of fast stable approximation of analytic functions from equispaced samples. Zbl 1247.41001
Platte, Rodrigo B.; Trefethen, Lloyd N.; Kuijlaars, Arno B. J.
51
2011
Eigenvalues and pseudo-eigenvalues of Toeplitz matrices. Zbl 0748.15010
Reichel, Lothar; Trefethen, Lloyd N.
51
1992
Computation of pseudospectra. Zbl 0945.65039
Trefethen, Lloyd N.
49
1999
Linearized pipe flow to Reynolds number \(10^7\). Zbl 1047.76565
Meseguer, Á.; Trefethen, L. N.
48
2003
Stability of the method of lines. Zbl 0734.65077
Reddy, Satish C.; Trefethen, Lloyd N.
48
1992
A hybrid GMRES algorithm for nonsymmetric linear systems. Zbl 0757.65035
Nachtigal, Noël M.; Reichel, Lothar; Trefethen, Lloyd N.
46
1992
A rational spectral collocation method with adaptively transformed Chebyshev grid points. Zbl 1123.65105
Tee, T. W.; Trefethen, Lloyd N.
43
2006
The eigenvalues of second-order spectral differentiation matrices. Zbl 0666.65063
Weideman, J. A. C.; Trefethen, L. N.
43
1988
Average-case stability of Gaussian elimination. Zbl 0703.65015
Trefethen, Lloyd N.; Schreiber, Robert S.
39
1990
Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals. Zbl 1186.65092
Schmelzer, Thomas; Trefethen, Lloyd N.
37
2007
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
Pseudozeros of polynomials and pseudospectra of companion matrices. Zbl 0808.65053
Toh, Kim-Chuan; Trefethen, Lloyd N.
34
1994
Approximation theory and numerical linear algebra. Zbl 0747.41005
Trefethen, L. N.
34
1990
Near-circularity of the error curve in complex Chebyshev approximation. Zbl 0462.41004
Trefethen, Lloyd N.
34
1981
An instability phenomenon in spectral methods. Zbl 0636.65124
Trefethen, Lloyd N.; Trummer, Manfred R.
33
1987
Large-scale computation of pseudospectra using ARPACK and eigs. Zbl 0992.65030
Wright, Thomas G.; Trefethen, Lloyd N.
32
2001
An extension of Chebfun to two dimensions. Zbl 1300.65010
Townsend, Alex; Trefethen, Lloyd N.
30
2013
Pseudospectra of the convection-diffusion operator. Zbl 0811.35026
Reddy, Satish C.; Trefethen, Lloyd N.
30
1994
Computed eigenmodes of planar regions. Zbl 1107.65101
Trefethen, Lloyd N.; Betcke, Timo
28
2006
From potential theory to matrix iterations in six steps. Zbl 0930.65020
Driscoll, Tobin A.; Toh, Kim-Chuan; Trefethen, Lloyd N.
28
1998
Lax-stability of fully discrete spectral methods via stability regions and pseudo-eigenvalues. Zbl 0735.65070
Reddy, Satish C.; Trefethen, Lloyd N.
28
1990
Numerical algorithms based on analytic function values at roots of unity. Zbl 1305.41006
Austin, Anthony P.; Kravanja, Peter; Trefethen, Lloyd N.
27
2014
The Caratheodory-Fejer method for real rational approximation. Zbl 0526.41022
Trefethen, Lloyd N.; Gutknecht, Martin H.
27
1983
Calculation of pseudospectra by the Arnoldi iteration. Zbl 0842.65022
Toh, Kim-Chuan; Trefethen, Lloyd N.
26
1996
Numerical conformal mapping. Zbl 0572.00018
Trefethen, Lloyd N. (ed.)
25
1986
GMRES/CR and Arnoldi/Lanczos as matrix approximation problems. Zbl 0806.65031
Greenbaum, Anne; Trefethen, Lloyd N.
24
1994
Two results on polynomial interpolation in equally spaced points. Zbl 0736.41005
Trefethen, L. N.; Weideman, J. A. C.
24
1991
A mostly linear model of transition to turbulence. Zbl 1039.76509
Baggett, Jeffrey S.; Driscoll, Tobin A.; Trefethen, Lloyd N.
23
1995
Stiffness of ODEs. Zbl 0782.65091
Higham, Desmond J.; Trefethen, Lloyd N.
22
1993
Continuous analogues of matrix factorizations. Zbl 1372.65095
Townsend, Alex; Trefethen, Lloyd N.
20
2015
Robust Padé approximation via SVD. Zbl 1266.41009
Gonnet, Pedro; Güttel, Stefan; Trefethen, Lloyd N.
20
2013
The chebop system for automatic solution of differential equations. Zbl 1162.65370
Driscoll, Tobin A.; Bornemann, Folkmar; Trefethen, Lloyd N.
20
2008
Green’s functions for multiply connected domains via conformal mapping. Zbl 0938.30003
Embree, Mark; Trefethen, Lloyd N.
19
1999
Low-dimensional models of subcritical transition to turbulence. Zbl 1185.76574
Baggett, Jeffrey S.; Trefethen, Lloyd N.
19
1997
A modified Schwarz-Christoffel transformation for elongated regions. Zbl 0703.30006
Howell, Louis H.; Trefethen, Lloyd N.
19
1990
The AAA algorithm for rational approximation. Zbl 1390.41015
Nakatsukasa, Yuji; Sète, Olivier; Trefethen, Lloyd N.
18
2018
Robust rational interpolation and least-squares. Zbl 1293.65017
Gonnet, Pedro; Pachón, Ricardo; Trefethen, Lloyd N.
18
2011
The kink phenomenon in Fejér and Clenshaw-Curtis quadrature. Zbl 1142.41010
Weideman, J. A. C.; Trefethen, L. N.
18
2007
Classical free-streamline flow over a polygonal obstacle. Zbl 0577.76018
Elcrat, Alan R.; Trefethen, Lloyd N.
18
1986
Piecewise-smooth chebfuns. Zbl 1202.65016
Pachón, Ricardo; Platte, Rodrigo B.; Trefethen, Lloyd N.
17
2010
Generalizing eigenvalue theorems to pseudospectra theorems. Zbl 0995.15003
Embree, Mark; Trefethen, Lloyd N.
17
2001
Instability of difference models for hyperbolic initial boundary value problems. Zbl 0575.65095
Trefethen, Lloyd N.
17
1984
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.
16
1999
The asymptotic accuracy of rational best approximations to \(e^ z\) on a disk. Zbl 0545.41019
Trefethen, Lloyd N.
16
1984
Multivariate polynomial approximation in the hypercube. Zbl 1380.41011
Trefethen, Lloyd N.
15
2017
Chebfun: A new kind of numerical computing. Zbl 1220.65100
Platte, R. B.; Trefethen, L. N.
15
2010
Computing numerically with functions instead of numbers. Zbl 1145.41302
Trefethen, Lloyd N.
15
2007
Pseudospectra of rectangular matrices. Zbl 1038.65033
Wright, Thomas G.; Trefethen, Lloyd N.
15
2002
Extension of Chebfun to periodic functions. Zbl 1348.42003
Wright, Grady B.; Javed, Mohsin; Montanelli, Hadrien; Trefethen, Lloyd N.
14
2015
Spectra and pseudospectra. The behaviour of non-normal matrices and operators. Zbl 0943.15003
Trefethen, Lloyd N.
14
1999
The CF table. Zbl 0698.30039
Hayashi, Eric; Trefethen, Lloyd N.; Gutknecht, Martin H.
14
1990
Computing eigenvalues of real symmetric matrices with rational filters in real arithmetic. Zbl 1328.15016
Austin, Anthony P.; Trefethen, Lloyd N.
13
2015
Chebfun and numerical quadrature. Zbl 1257.41018
Hale, Nicholas; Trefethen, Lloyd N.
13
2012
Householder triangularization of a quasimatrix. Zbl 1202.65049
Trefethen, Lloyd N.
13
2010
Wave packet pseudomodes of twisted Toeplitz matrices. Zbl 1055.15014
Trefethen, Lloyd N.; Chapman, S. J.
13
2004
Spectra, pseudospectra, and localization for random bidiagonal matrices. Zbl 1025.15034
Trefethen, Lloyd N.; Contedini, Marco; Embree, Mark
13
2001
Pseudospectra for the wave equation with an absorbing boundary. Zbl 0854.35060
Driscoll, Tobin A.; Trefethen, Lloyd N.
13
1996
A sinc function analogue of Chebfun. Zbl 1234.41001
Richardson, Mark; Trefethen, Lloyd N.
12
2011
New quadrature formulas from conformal maps. Zbl 1173.65020
Hale, Nicholas; Trefethen, Lloyd N.
12
2008
Growth and decay of random Fibonacci sequences. Zbl 0941.37038
Embree, Mark; Trefethen, Lloyd N.
12
1999
From the Buffon needle problem to the Kreiss matrix theorem. Zbl 0799.30002
Wegert, Elias; Trefethen, Lloyd N.
12
1994
Stability of barycentric interpolation formulas for extrapolation. Zbl 1261.65015
Webb, Marcus; Trefethen, Lloyd N.; Gonnet, Pedro
11
2012
Wave packet pseudomodes of variable coefficient differential operators. Zbl 1206.34109
Trefethen, Lloyd N.
11
2005
The Chebyshev polynomials of a matrix. Zbl 0922.65019
Toh, Kim-Chuan; Trefethen, Lloyd N.
11
1998
Dispersion, dissipation and stability. Zbl 0651.65066
Trefethen, L. N.
11
1986
Stability of finite-difference models containing two boundaries or interfaces. Zbl 0627.65099
Trefethen, Lloyd N.
11
1985
Cubature, approximation, and isotropy in the hypercube. Zbl 1406.41011
Trefethen, Lloyd N.
10
2017
A multipole method for Schwarz-Christoffel mapping of polygons with thousands of sides. Zbl 1060.30012
Banjai, Lehel; Trefethen, L. N.
10
2003
Condition numbers of random triangular matrices. Zbl 0939.15012
Viswanath, D.; Trefethen, L. N.
10
1998
Rational minimax approximation via adaptive barycentric representations. Zbl 1396.41011
Filip, Silviu-Ioan; Nakatsukasa, Yuji; Trefethen, Lloyd N.; Beckermann, Bernhard
9
2018
Chebfun in three dimensions. Zbl 1373.65011
Hashemi, Behnam; Trefethen, Lloyd N.
9
2017
Computing the gamma function using contour integrals and rational approximations. Zbl 1153.65026
Schmelzer, Thomas; Trefethen, Lloyd N.
9
2007
Schwarz-Christoffel mapping in the computer era. Zbl 0896.30005
Trefethen, Lloyd N.; Driscoll, Tobin A.
9
1998
Conformal mapping solution of Laplace’s equation on a polygon with oblique derivative boundary conditions. Zbl 0596.30014
Trefethen, Lloyd N.; Williams, Ruth J.
9
1986
Chopping a Chebyshev series. Zbl 1380.65032
Aurentz, Jared L.; Trefethen, Lloyd N.
8
2017
Solving Laplace problems with corner singularities via rational functions. Zbl 1431.65223
Gopal, Abinand; Trefethen, Lloyd N.
7
2019
A trapezoidal rule error bound unifying the Euler-Maclaurin formula and geometric convergence for periodic functions. Zbl 1372.65068
Javed, Mohsin; Trefethen, Lloyd N.
7
2014
Approximation theory and approximation practice. Extended edition. Zbl 1437.41001
Trefethen, Lloyd N.
4
2020
An algorithm for real and complex rational minimax approximation. Zbl 1452.65035
Nakatsukasa, Yuji; Trefethen, Lloyd N.
2
2020
Solving Laplace problems with corner singularities via rational functions. Zbl 1431.65223
Gopal, Abinand; Trefethen, Lloyd N.
7
2019
Representation of conformal maps by rational functions. Zbl 1414.30011
Gopal, Abinand; Trefethen, Lloyd N.
5
2019
Smooth random functions, random ODEs, and Gaussian processes. Zbl 1412.42006
Filip, Silviu; Javeed, Aurya; Trefethen, Lloyd N.
5
2019
New Laplace and Helmholtz solvers. Zbl 1431.65224
Gopal, Abinand; Trefethen, Lloyd N.
4
2019
The AAA algorithm for rational approximation. Zbl 1390.41015
Nakatsukasa, Yuji; Sète, Olivier; Trefethen, Lloyd N.
18
2018
Rational minimax approximation via adaptive barycentric representations. Zbl 1396.41011
Filip, Silviu-Ioan; Nakatsukasa, Yuji; Trefethen, Lloyd N.; Beckermann, Bernhard
9
2018
Series solution of Laplace problems. Zbl 1400.31001
Trefethen, Lloyd N.
4
2018
Exploring ODEs. Zbl 1402.34002
Trefethen, Lloyd N.; Birkisson, Ásgeir; Driscoll, Tobin A.
2
2018
Multivariate polynomial approximation in the hypercube. Zbl 1380.41011
Trefethen, Lloyd N.
15
2017
Cubature, approximation, and isotropy in the hypercube. Zbl 1406.41011
Trefethen, Lloyd N.
10
2017
Chebfun in three dimensions. Zbl 1373.65011
Hashemi, Behnam; Trefethen, Lloyd N.
9
2017
Chopping a Chebyshev series. Zbl 1380.65032
Aurentz, Jared L.; Trefethen, Lloyd N.
8
2017
Trigonometric interpolation and quadrature in perturbed points. Zbl 1373.42004
Austin, Anthony P.; Trefethen, Lloyd N.
4
2017
Block operators and spectral discretizations. Zbl 1365.65153
Aurentz, Jared L.; Trefethen, Lloyd N.
4
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.
20
2015
Extension of Chebfun to periodic functions. Zbl 1348.42003
Wright, Grady B.; Javed, Mohsin; Montanelli, Hadrien; Trefethen, Lloyd N.
14
2015
Computing eigenvalues of real symmetric matrices with rational filters in real arithmetic. Zbl 1328.15016
Austin, Anthony P.; Trefethen, Lloyd N.
13
2015
Mathematics of the Faraday cage. Zbl 1339.31001
Chapman, S. Jonathan; Hewett, David P.; Trefethen, Lloyd N.
6
2015
The exponentially convergent trapezoidal rule. Zbl 1307.65031
Trefethen, Lloyd N.; Weideman, J. A. C.
122
2014
Numerical algorithms based on analytic function values at roots of unity. Zbl 1305.41006
Austin, Anthony P.; Kravanja, Peter; Trefethen, Lloyd N.
27
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.
7
2014
Approximation theory and approximation practice. Zbl 1264.41001
Trefethen, Lloyd N.
239
2013
An extension of Chebfun to two dimensions. Zbl 1300.65010
Townsend, Alex; Trefethen, Lloyd N.
30
2013
Robust Padé approximation via SVD. Zbl 1266.41009
Gonnet, Pedro; Güttel, Stefan; Trefethen, Lloyd N.
20
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
11
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.
51
2011
Robust rational interpolation and least-squares. Zbl 1293.65017
Gonnet, Pedro; Pachón, Ricardo; Trefethen, Lloyd N.
18
2011
A sinc function analogue of Chebfun. Zbl 1234.41001
Richardson, Mark; Trefethen, Lloyd N.
12
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.
17
2010
Chebfun: A new kind of numerical computing. Zbl 1220.65100
Platte, R. B.; Trefethen, L. N.
15
2010
Householder triangularization of a quasimatrix. Zbl 1202.65049
Trefethen, Lloyd N.
13
2010
Barycentric-Remez algorithms for best polynomial approximation in the chebfun system. Zbl 1179.65012
Pachón, Ricardo; Trefethen, Lloyd N.
7
2009
Is Gauss quadrature better than Clenshaw-Curtis? Zbl 1141.65018
Trefethen, Lloyd N.
178
2008
Computing \(A^\alpha, \log(A)\), and related matrix functions by contour integrals. Zbl 1176.65053
Hale, Nicholas; Higham, Nicholas J.; Trefethen, Lloyd N.
59
2008
The chebop system for automatic solution of differential equations. Zbl 1162.65370
Driscoll, Tobin A.; Bornemann, Folkmar; Trefethen, Lloyd N.
20
2008
New quadrature formulas from conformal maps. Zbl 1173.65020
Hale, Nicholas; Trefethen, Lloyd N.
12
2008
Parabolic and hyperbolic contours for computing the Bromwich integral. Zbl 1113.65119
Weideman, J. A. C.; Trefethen, L. N.
75
2007
Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals. Zbl 1186.65092
Schmelzer, Thomas; Trefethen, Lloyd N.
37
2007
The kink phenomenon in Fejér and Clenshaw-Curtis quadrature. Zbl 1142.41010
Weideman, J. A. C.; Trefethen, L. N.
18
2007
Computing numerically with functions instead of numbers. Zbl 1145.41302
Trefethen, Lloyd N.
15
2007
Computing the gamma function using contour integrals and rational approximations. Zbl 1153.65026
Schmelzer, Thomas; Trefethen, Lloyd N.
9
2007
Talbot quadratures and rational approximations. Zbl 1103.65030
Trefethen, L. N.; Weideman, J. A. C.; Schmelzer, T.
58
2006
A rational spectral collocation method with adaptively transformed Chebyshev grid points. Zbl 1123.65105
Tee, T. W.; Trefethen, Lloyd N.
43
2006
Computed eigenmodes of planar regions. Zbl 1107.65101
Trefethen, Lloyd N.; Betcke, Timo
28
2006
Spectra and pseudospectra. The behavior of nonnormal matrices and operators. Zbl 1085.15009
Trefethen, Lloyd N.; Embree, Mark
398
2005
Fourth-order time-stepping for stiff PDEs. Zbl 1077.65105
Kassam, Aly-Khan; Trefethen, Lloyd N.
273
2005
Reviving the method of particular solutions. Zbl 1077.65116
Betcke, Timo; Trefethen, Lloyd N.
60
2005
Wave packet pseudomodes of variable coefficient differential operators. Zbl 1206.34109
Trefethen, Lloyd N.
11
2005
Barycentric Lagrange interpolation. Zbl 1061.65006
Berrut, Jean-Paul; Trefethen, Lloyd N.
228
2004
An extension of MATLAB to continuous functions and operators. Zbl 1057.65003
Battles, Zachary; Trefethen, Lloyd N.
68
2004
Wave packet pseudomodes of twisted Toeplitz matrices. Zbl 1055.15014
Trefethen, Lloyd N.; Chapman, S. J.
13
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.
48
2003
A multipole method for Schwarz-Christoffel mapping of polygons with thousands of sides. Zbl 1060.30012
Banjai, Lehel; Trefethen, L. N.
10
2003
Schwarz-Christoffel mapping. Zbl 1003.30005
Driscoll, Tobin A.; Trefethen, Lloyd N.
118
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.
17
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.
861
2000
Numerical linear algebra. Zbl 0984.65019
Trefethen, Lloyd N.; Bau, David
6
2000
How many shuffles to randomize a deck of cards? Zbl 0968.60080
Trefethen, L. N.; Trefethen, L. M.
5
2000
Computation of pseudospectra. Zbl 0945.65039
Trefethen, Lloyd N.
49
1999
Green’s functions for multiply connected domains via conformal mapping. Zbl 0938.30003
Embree, Mark; Trefethen, Lloyd N.
19
1999
The Kreiss matrix theorem on a general complex domain. Zbl 0946.65029
Toh, Kim-Chuan; Trefethen, Lloyd N.
16
1999
Spectra and pseudospectra. The behaviour of non-normal matrices and operators. Zbl 0943.15003
Trefethen, Lloyd N.
14
1999
Growth and decay of random Fibonacci sequences. Zbl 0941.37038
Embree, Mark; Trefethen, Lloyd N.
12
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.
28
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.
3
1998
Numerical linear algebra. Zbl 0874.65013
Trefethen, Lloyd N.; Bau, David III
401
1997
Pseudospectra of linear operators. Zbl 0896.15006
Trefethen, Lloyd N.
116
1997
Low-dimensional models of subcritical transition to turbulence. Zbl 1185.76574
Baggett, Jeffrey S.; Trefethen, Lloyd N.
19
1997
Calculation of pseudospectra by the Arnoldi iteration. Zbl 0842.65022
Toh, Kim-Chuan; Trefethen, Lloyd N.
26
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.
30
1994
GMRES/CR and Arnoldi/Lanczos as matrix approximation problems. Zbl 0806.65031
Greenbaum, Anne; Trefethen, Lloyd N.
24
1994
From the Buffon needle problem to the Kreiss matrix theorem. Zbl 0799.30002
Wegert, Elias; Trefethen, Lloyd N.
12
1994
Hydrodynamic stability without eigenvalues. Zbl 1226.76013
Trefethen, Lloyd N.; Trefethen, Anne E.; Reddy, Satish C.; Driscoll, Tobin A.
307
1993
Stiffness of ODEs. Zbl 0782.65091
Higham, Desmond J.; Trefethen, Lloyd N.
22
1993
How fast are nonsymmetric matrix iterations? Zbl 0754.65036
Nachtigal, Noël M.; Reddy, Satish C.; Trefethen, Lloyd N.
85
1992
Pseudospectra of matrices. Zbl 0798.15005
Trefethen, L. N.
75
1992
Eigenvalues and pseudo-eigenvalues of Toeplitz matrices. Zbl 0748.15010
Reichel, Lothar; Trefethen, Lloyd N.
51
1992
...and 41 more Documents
all top 5

Cited by 6,006 Authors

53 Trefethen, Lloyd Nicholas
34 Motsa, Sandile Sydney
32 Boyd, John Philip
30 Reichel, Lothar
26 Xiang, Shuhuang
20 Klein, Christian
20 Sibanda, Precious
18 Henningson, Dan S.
18 Khaliq, Abdul Q. M.
17 Dehghan Takht Fooladi, Mehdi
17 Nakatsukasa, Yuji
17 Olver, Sheehan Shakiban
16 Barnett, Alex H.
16 Schmid, Peter Joseph
15 Garrappa, Roberto
15 Owolabi, Kolade Matthew
15 Shateyi, Stanford
15 Townsend, Alex
13 Driscoll, Tobin A.
13 Simoncini, Valeria
13 Vianello, Marco
13 Wang, Haiyong
12 Böttcher, Albrecht
12 Breda, Dimitri
12 DeLillo, Thomas K.
12 Elcrat, Alan R.
12 Greengard, Leslie F.
12 Kressner, Daniel
12 Sengupta, Tapan K.
12 Sherwin, Spencer J.
12 Van Barel, Marc
12 Wu, Xionghua
11 Berrut, Jean-Paul
11 De Marchi, Stefano
11 Embree, Mark
11 Fornberg, Bengt
11 Han, Zhongjie
11 Huybrechs, Daan
11 Michiels, Wim
11 Novati, Paolo
11 Peña, Juan Manuel
11 Wang, Lilian
11 Xu, Gen-Qi
10 Adcock, Ben
10 Corless, Robert Malcolm
10 Gutknecht, Martin H.
10 Güttel, Stefan
10 Jeribi, Aref
10 Jovanović, Mihailo R.
10 Noschese, Silvia
10 Ostermann, Alexander
10 Rojo, Oscar L.
10 Spijker, Marc N.
10 Sugiura, Hiroshi
10 Vermiglio, Rossana
10 Weideman, J. André C.
10 Zuazua, Enrique
9 Ammar, Aymen
9 Antunes, Pedro Ricardo Simão
9 Berriochoa, Elías
9 Burrage, Kevin
9 Cachafeiro, Alicia
9 Caliari, Marco
9 Colonius, Tim
9 de la Hoz, Francisco
9 Greenbaum, Anne
9 Hasegawa, Takemitsu
9 Hochstenbach, Michiel E.
9 Javidi, Mohammad
9 Nasser, Mohamed M. S.
9 Patidar, Kailash C.
9 Popolizio, Marina
9 Sadkane, Miloud
9 Viloche Bazán, Fermín S.
9 Zeitlin, Vladimir
9 Zhang, Yongtao
9 Zhang, Zhimin
8 Beckermann, Bernhard
8 Bezrodnykh, Sergeĭ I.
8 Grubišić, Luka
8 Ju, Lili
8 Kalliadasis, Serafim
8 Lin, Lin
8 Nachbin, André
8 Ovall, Jeffrey S.
8 Robinet, Jean-Christophe
8 Rowley, Clarence W.
8 Saad, Yousef
8 Sarra, Scott A.
8 Sharapudinov, Idris Idrisovich
8 Shivanian, Elyas
8 Sjöstrand, Johannes
8 Tornberg, Anna-Karin
8 Turner, Ian William
8 Vandebril, Raf
7 Atzberger, Paul J.
7 Bhrawy, Ali Hassan
7 Bruno, Oscar P.
7 Cossu, Carlo
7 Davies, Edward Brian
...and 5,906 more Authors
all top 5

Cited in 474 Serials

317 Journal of Computational Physics
287 Journal of Computational and Applied Mathematics
246 Journal of Fluid Mechanics
140 Linear Algebra and its Applications
134 Applied Numerical Mathematics
132 Applied Mathematics and Computation
112 SIAM Journal on Scientific Computing
98 Physics of Fluids
97 Journal of Scientific Computing
87 Computers & Mathematics with Applications
84 Numerical Algorithms
82 Numerische Mathematik
76 BIT
75 Mathematics of Computation
58 Computer Methods in Applied Mechanics and Engineering
57 SIAM Journal on Matrix Analysis and Applications
48 Physica D
41 Computers and Fluids
40 Engineering Analysis with Boundary Elements
37 SIAM Journal on Numerical Analysis
32 Journal of Approximation Theory
32 Advances in Computational Mathematics
32 Computational Methods and Function Theory
28 Communications in Nonlinear Science and Numerical Simulation
27 Mathematics and Computers in Simulation
27 Constructive Approximation
27 Applied Mathematical Modelling
27 Mathematical Problems in Engineering
26 Computer Physics Communications
26 European Journal of Mechanics. B. Fluids
25 International Journal for Numerical Methods in Fluids
25 Journal of Mathematical Analysis and Applications
24 Chaos
23 Wave Motion
23 Automatica
22 Numerical Linear Algebra with Applications
21 SIAM Journal on Applied Mathematics
21 Abstract and Applied Analysis
20 Journal of Engineering Mathematics
20 Applied Mathematics Letters
20 SIAM Journal on Applied Dynamical Systems
19 SIAM Review
19 Foundations of Computational Mathematics
18 International Journal for Numerical Methods in Engineering
17 Journal of Mathematical Physics
17 Computational and Applied Mathematics
16 Numerical Methods for Partial Differential Equations
15 International Journal of Control
15 Numerical Functional Analysis and Optimization
15 Nonlinear Dynamics
14 Journal of Functional Analysis
14 Multiscale Modeling & Simulation
13 Communications in Mathematical Physics
13 International Journal of Computer Mathematics
13 Applied and Computational Harmonic Analysis
13 SIAM/ASA Journal on Uncertainty Quantification
12 Japan Journal of Industrial and Applied Mathematics
12 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
11 Journal of Statistical Physics
11 Mathematical and Computer Modelling
11 Computational Mathematics and Mathematical Physics
11 SIAM Journal on Optimization
11 Journal of High Energy Physics
11 Journal of Applied Mathematics
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 Chaos, Solitons and Fractals
10 Studies in Applied Mathematics
10 Journal of Nonlinear Science
10 The ANZIAM Journal
9 American Mathematical Monthly
9 Bulletin of Mathematical Biology
9 Calcolo
9 Journal of Differential Equations
9 Systems & Control Letters
9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
9 Complex Variables and Elliptic Equations
8 Nonlinearity
8 Physics Letters. A
8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
8 Discrete and Continuous Dynamical Systems. Series B
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Acta Mechanica
7 Integral Equations and Operator Theory
7 Proceedings of the American Mathematical Society
7 Transactions of the American Mathematical Society
7 Journal of Complexity
7 Journal of Integral Equations and Applications
7 Journal of Non-Newtonian Fluid Mechanics
7 International Journal of Numerical Methods for Heat & Fluid Flow
7 Computational Geosciences
7 Living Reviews in Relativity
7 Acta Numerica
7 Advances in Difference Equations
7 Boundary Value Problems
7 Statistics and Computing
6 Communications on Pure and Applied Mathematics
...and 374 more Serials
all top 5

Cited in 56 Fields

2,414 Numerical analysis (65-XX)
927 Partial differential equations (35-XX)
923 Fluid mechanics (76-XX)
378 Linear and multilinear algebra; matrix theory (15-XX)
355 Approximations and expansions (41-XX)
288 Ordinary differential equations (34-XX)
238 Functions of a complex variable (30-XX)
214 Operator theory (47-XX)
176 Mechanics of deformable solids (74-XX)
173 Dynamical systems and ergodic theory (37-XX)
152 Systems theory; control (93-XX)
145 Probability theory and stochastic processes (60-XX)
115 Biology and other natural sciences (92-XX)
107 Special functions (33-XX)
104 Statistical mechanics, structure of matter (82-XX)
92 Harmonic analysis on Euclidean spaces (42-XX)
90 Quantum theory (81-XX)
88 Optics, electromagnetic theory (78-XX)
87 Integral equations (45-XX)
80 Calculus of variations and optimal control; optimization (49-XX)
80 Statistics (62-XX)
78 Operations research, mathematical programming (90-XX)
76 Computer science (68-XX)
66 Geophysics (86-XX)
64 Classical thermodynamics, heat transfer (80-XX)
63 Real functions (26-XX)
58 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
50 Information and communication theory, circuits (94-XX)
43 Functional analysis (46-XX)
42 Potential theory (31-XX)
40 Integral transforms, operational calculus (44-XX)
34 Mechanics of particles and systems (70-XX)
26 Combinatorics (05-XX)
24 Differential geometry (53-XX)
23 Relativity and gravitational theory (83-XX)
20 Algebraic geometry (14-XX)
20 Global analysis, analysis on manifolds (58-XX)
19 Difference and functional equations (39-XX)
16 History and biography (01-XX)
16 Number theory (11-XX)
15 Field theory and polynomials (12-XX)
14 Several complex variables and analytic spaces (32-XX)
11 Astronomy and astrophysics (85-XX)
10 Convex and discrete geometry (52-XX)
8 Commutative algebra (13-XX)
8 Sequences, series, summability (40-XX)
7 General and overarching topics; collections (00-XX)
4 Mathematical logic and foundations (03-XX)
3 Measure and integration (28-XX)
3 Geometry (51-XX)
2 Associative rings and algebras (16-XX)
2 Group theory and generalizations (20-XX)
2 General topology (54-XX)
2 Mathematics education (97-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Manifolds and cell complexes (57-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.