Professor L N Trefethen FRS: Publications

1 Approximation Theory and Approximation Practice
L. N. Trefethen
SIAM, to appear in 2013.		 Book
2 Robust Padé approximation via SVD
P. Gonnet, S. Güttel and L. N. Trefethen
SIAM Review, submitted, 2011. 		PDF
3 Stability of barycentric interpolation formulas
M. Webb, L. N. Trefethen and P. Gonnet
SIAM J. Sci. Comp., submitted, 2011. 		PDF
4 A sinc function analogue of Chebfun
M. Richardson and L. N. Trefethen
SIAM J. Sci. Comp. Vol. 33 (2011), No.5, 2519-2535. 		PDF
5 Robust rational interpolation and least-squares
P. Gonnet, R. Pachón and L. N. Trefethen
Elect. Trans. Numer. Anal. 38 (2011), 146-167. 		PDF
6 Trefethen's Index Cards: Forty Years of Notes about People, Words and Mathematics
L. N. Trefethen
xv + 368 pages. World Scientific Publishing, 2011.		 Book
7 Six myths of polynomial interpolation and quadrature
L. N. Trefethen
Maths. Today 47 (2011), 184-188. 		PDF
8 Ten digit problems
L. N. Trefethen
In D. Schleicher and M. Lackmann, eds., Invitation to Mathematics: From Competitions to Research. Springer, 2011. 		Chapter in book
PDF
9 Impossibility of fast stable approximation of analytic functions from equispaced samples
R. B. Platte, L. N. Trefethen and A. B. J. Kuijlaars
SIAM Review 53 (2011), 308-318. 		PDF
10 Four bugs on a rectangle
S. J. Chapman, J. Lottes and L. N. Trefethen
Proc. Roy. Soc. A 467 (2011), 881-896. 		PDF
11 Piecewise-smooth chebfuns
R. Pachón, R. B. Platte and L. N. Trefethen
IMA J. Numer. Anal. 30 (2010), 898-916. 		PDF
12 Householder triangularization of a quasimatrix
L. N. Trefethen
IMA J. Numerical Analysis 30 (2010), 887-897. 		PDF
13 Barycentric-Remez algorithms for best polynomial approximation in the chebfun system
R. Pachón and L. N. Trefethen
BIT Numer. Anal. 49 (2009), 721-741. 		PDF
14 The chebop system for automatic solution of differential equations
T. A. Driscoll, F. Bornemann and L. N. Trefethen
BIT Numerical Mathematics (2008), 701-723. 		PDF
15 Numerical analysis
L. N. Trefethen
In W. T. Gowers, ed., Princeton Companion to Mathematics, Princeton U. Press. 2008. 		PDF
16 Computing Aα, log(A), and related matrix functions by contour integrals
N. Hale, N. J. Higham and L. N. Trefethen
SIAM J. Numer. Anal., Vol. 46, No. 5, 2505-2523. 2008.		 PDF
17 G.H. Hardy, applied mathematician
L. N. Trefethen
SIAM News, Vol. 41 / No. 3, pp. 1 and 3, April 2008.
 PDF
18 New quadrature formulas from conformal maps
N. Hale and L. N. Trefethen
SIAM J. Numer. Anal., Vol. 46, No. 2, 930-948. 2008.		 PDF
19 Is Gauss quadrature better than Clenshaw-Curtis?
L. N. Trefethen
SIAM Review 50, No. 1, 67-87, 2008.		 PDF
20 Obituary Gene H. Golub (1932-2007)
L. N. Trefethen
Nature, Vol. 450, p. 962, 13 Dec. 2007.		 PDF
21 Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals
T. Schmelzer and L. N. Trefethen
ETNA, Volume 29, 1-18, 2007. 		PDF
22 The kink phenomenon in Fejér and Clenshaw-Curtis quadrature
J. A. C. Weideman and L. N. Trefethen
Numer. Math. (2007) 107: 707-727. 		PDF
23 Computing numerically with functions instead of numbers
L. N. Trefethen
Math. Comput. Sci. 1 (2007), 9-19. 		PDF
24 Computing the gamma function using contour integrals and rational approximations
T. Schmelzer and L. N. Trefethen
SIAM J. Numer. Anal., Vol. 45 (2007), No. 2, 558-571. 		PDF
25 Parabolic and hyperbolic contours for computing the Bromwich integral
J. A. C. Weideman and L. N. Trefethen
Math. Comp. 76 (2007), 1341-1356. 		PDF
26 A rational spectral collocation method with adaptively transformed Chebyshev grid points
T.-W. Tee and L. N. Trefethen
SIAM J. Sci. Comp., Vol. 28 (2006), No. 5, 1798-1811. 		PDF
27 Talbot quadratures and rational approximations
L. N. Trefethen, J. A. C. Weideman and T. Schmelzer
BIT Numerical Mathematics (2006) 46, 653-670. 		PDF
28 Computed eigenmodes of planar regions
L. N. Trefethen and T. Betcke
In N. Chernov, et al., eds., Recent Advances in Differential Equations and Mathematical Physics, Contemp. Math. 412, Amer. Math. Soc., 2006, 297-314. 		PDF
29 Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators
L. N. Trefethen and Mark Embree
xviii+606 pages. Princeton U. Press, 2005.
(Winner of Honorable Mention, 2005 Awards for Excellence in Professional/Scholar Publishing in Mathematics and Statistics, Association of American Publishers.) 		Book
30 Ten Digit Algorithms
L. N. Trefethen
Numerical Analysis Report 05/13, Oxford University, 2005.
(From the 2005 A. R. Mitchell Lecture, Dundee.) 		PDF
31 Wave packet pseudomodes of variable coefficient differential operators
L. N. Trefethen
Proc. Roy. Soc. Lond. A 561 (2005), 3099-3122. 		PDF
32 Reviving the method of particular solutions
T. Betcke and L. N. Trefethen
SIAM Review 47 (2005), 469-491. 		PDF
33 Fourth-order time-stepping for stiff PDEs
A. K. Kassam and L. N. Trefethen
SIAM J. Sci. Comp. 26 (2005), 1214-1233. 		PDF
34 Computations of eigenvalue avoidance in planar domains
T. Betcke and L. N. Trefethen
Proc. Appl. Math. Mech. 4 (2004), 634-635. 		PDF
35 Wave packet pseudomodes of twisted Toeplitz matrices
L. N. Trefethen and S. J. Chapman
Comm. Pure Appl. Math. 57 (2004), 1233-1264. 		PDF
36 An extension of Matlab to continuous functions and operators
Z. Battles and L. N. Trefethen
SIAM J. Sci. Comp. 25 (2004), 1743-1770. 		PDF
37 Barycentric Lagrange interpolation
J.-P. Berrut and L. N. Trefethen
SIAM Review 46 (2004), 501-517. 		PDF
38 An American at Oxford
L. N. Trefethen
Oxford Magazine, May 2003.
(This essay was discussed in the Times Higher Education Supplement and elsewhere.)		 PDF
39 Linearized pipe flow to Reynolds number 107
A. Meseguer and L. N. Trefethen
J. Comp. Phys. 186 (2003), 178-197. 		PDF
40 A multipole method for Schwarz-Christoffel mapping of polygons with thousands of sides
L. Banjai and L. N. Trefethen
SIAM J. Sci. Comp. 25 (2003), 1042-1065. 		PDF
41 Schwarz-Christoffel Mapping
Tobin A. Driscoll and L. N. Trefethen
xvi+132 pages. Cambridge U. Press, 2002. 		Book
42 Pseudospectra of rectangular matrices
T. G. Wright and L. N. Trefethen
IMA J. Numer. Anal. 22 (2002), 501-519. 		PDF
43 Piecewise continuous Toeplitz matrices and operators: slow approach to infinity
A. Böttcher, M. Embree and L. N. Trefethen
SIAM J. Matrix Anal. Applics. 24 (2002), 484-489. 		PDF
44 Chastened Challenge Sponsor: "I Misjudged"
L. N. Trefethen
SIAM News, Vol. 35, No. 6, July/Aug. 2002.
(follow-up article). 		PDF
45 A hundred-dollar, hundred-digit challenge
L. N. Trefethen
SIAM News, Vol. 35, No. 1, Jan./Feb. 2002.
(This led to two books by Bornemann et al.) 		PDF
46 Numerical solution of the omitted area problem of univalent function theory
L. Banjai and L. N. Trefethen
Computational Methods and Function Theory 1 (2001), 259-273. 		PDF
47 Spectra, pseudospectra and localization for random bidiagonal matrices
L. N. Trefethen, M. Contedini and M. Embree
Comm. Pure Appl. Math. 54 (2001), 595-623. 		PDF
48 Large-scale computation of pseudospectra using ARPACK and eigs
T. G. Wright and L. N. Trefethen
SIAM J. Sci. Comput. 23 (2001), 591-605. 		PDF
49 Generalizing eigenvalue theorems to pseudospectra theorems
M. Embree and L. N. Trefethen
SIAM J. Sci. Comput. 23 (2001), 583-590. 		PDF
50 Eigenvalues and musical instruments
V. E. Howle and L. N. Trefethen
J. Comp. Appl. Math. 135 (2001), 23-40. 		PDF
51 Computing Lyapunov constants for random recurrences with smooth coefficients
T. G. Wright and L. N. Trefethen
J. Comp. Appl. Math. 132 (2001), 331-340. 		PDF
52 Spectral Methods in MATLAB
L. N. Trefethen
xviii+165 pages. SIAM, 2000. 		Book
53 Pseudospectra Gateway.
M. Embree and L. N. Trefethen
Web Site: http://www.cs.ox.ac.uk/pseudospectra, 2000. 		Web pages
54 Threshold amplitudes for transition to turbulence in a pipe
L. N. Trefethen, S. J. Chapman, D. S. Henningson, A. Meseguer, T. Mullin, and F. T. M. Nieuwstadt
Num. Anal. Group Report NA 00/17, Oxford U. Computing Lab., 2000. 		PDF
55 Predictions for scientific computing fifty years from now
L. N. Trefethen
Mathematics Today, April 2000, 53-57.
(This essay won the Catherine Richards Prize of the Inst. for Maths. and Applics., 2000.) 		PDF
56 How many shuffles to randomize a deck of cards?
L. N. Trefethen and L. M. Trefethen
Proc. Roy. Soc. London A 456 (2000), 2561-2568.
(This article led to dozens of press reports in newspapers, magazines, radio and television.) 		PDF
57 Growth and decay of random Fibonacci sequences
M. Embree and L. N. Trefethen
Proc. Royal Soc. Lond. A 455 (1999), 2471-2485. 		PDF
58 Large-amplitude transient growth in the linear evolution of equatorial spread F with a sheared zonal flow
J. P. Flaherty and C. E. Seyler and L. N. Trefethen
J. Geophys. Res. 104 (1999), 6843.
59 Spectra and pseudospectra for pipe Poiseuille flow
A. E. Trefethen, L. N. Trefethen and P. J. Schmid
Comp. Meth. Appl. Mech. Engr. 1926 (1999), 413-420. 		PDF
60 Computation of pseudospectra
L. N. Trefethen
Acta Numerica 8 (1999), 247-295. 		PDF
61 Spectra and pseudospectra
L. N. Trefethen
In M. Ainsworth, J. Levesley, and M. Marletta, The Graduate Student's Guide to Numerical Analysis, Springer, 1999, 217-250. 		Chapter in book
62 The Kreiss matrix theorem on a general complex domain
K.-C. Toh and L. N. Trefethen
SIAM J. Matrix Anal. Applics. 21 (1999), 145-165. 		PDF
63 Green's functions for multiply connected domains via conformal mapping
M. Embree and L. N. Trefethen
SIAM Review 41 (1999), 721-744. 		PDF
64 Schwarz-Christoffel mapping in the computer era
T. A. Driscoll and L. N. Trefethen
Proc. Int. Congress Mathematicians 1998, 533-542. 		PDF
65
From potential theory to matrix iterations in six steps
T. A. Driscoll, K.-C. Toh and L. N. Trefethen
SIAM Review 40 (1998), 547-578. 		PDF
66 Condition numbers of random triangular matrices
D. Viswanath and L. N. Trefethen
SIAM J. Matrix Anal. Applics. 19 (1998), 564-581. 		PDF
67 Maxims about numerical mathematics, computers, science, and life
L. N. Trefethen
SIAM News v. 31, no. 1 (1998), p. 4. 		PDF
68 The Chebyshev polynomials of a matrix
K.-C. Toh and L. N. Trefethen
SIAM J. Matrix Anal. Applics. 20 (1998), 400-419. 		PDF
69 A numerical analyst looks at the 'cutoff phenomenon' in card shuffling and other Markov chains
G. F. Jonsson and L. N. Trefethen
Dundee proceedings, 1997; also in D. F. Griffiths, D. J. Higham, and G. A. Watson, eds., Numerical Analysis 1997, Addison Wesley Longman, 1998. 		PDF
70 Numerical Linear Algebra
L. N. Trefethen and David Bau III
xii+361 pages. SIAM, 1997.
(SIAM's bestselling book of the past decade.) 		Book
71 Pseudospectra of linear operators
L. N. Trefethen
ICIAM '95: Proceedings of the Third International Congress on Industrial and Applied Mathematics, Akademie-Verlag, Berlin, 1996, 401-434; also SIAM Review 39 (1997), 383-406. 		PDF
72 Low-dimensional models of subcritical transition to turbulence
J. S. Baggett and L. N. Trefethen
Physics of Fluids 9 (1997), 1043-1053. 		PDF
73 Finite Difference and Spectral Methods for Ordinary and Partial Differential Equations
L. N. Trefethen
x+315 pages. Graduate textbook, unpublished, 1996,
available at http://people.maths.ox.ac.uk/trefethen/pdetext.html 		Book
74 MultiMATLAB: MATLAB on multiple processors
A. E. Trefethen, V. S. Menon, C.-C. Chang, G. J. Czajkowski, C. Myers, and L. N. Trefethen
Tech. Rep. CTC96TR293, Cornell Theory Center, 1996. 		PDF
75
Matrix behaviour, unitary reducibility, and Hadamard products
D. Viswanath and L. N. Trefethen
Tech. Rep. TR96-1596, Dept. of Comp. Sci., Cornell U., July, 1996. 		PDF
76 Pseudospectra for the wave operator with an absorbing boundary
T. A. Driscoll and L. N. Trefethen
J. Comp. Appl. Math. 69 (1996), 125-142. 		PDF
77 Calculation of pseudospectra by the Arnoldi iteration
K.-C. Toh and L. N. Trefethen
SIAM J. Sci. Comp. 17 (1996), 1-15. 		PDF
78 A mostly linear model of transition to turbulence
J. S. Baggett, T. A. Driscoll and L. N. Trefethen
Physics of Fluids 7 (1995), 833-838. 		PDF
79 Do the pseudospectra of a matrix determine its behavior?
A. Greenbaum and L. N. Trefethen
unpublished technical report, 1995. 		PDF
80 Pseudospectra of the convection-diffusion operator
S. C. Reddy and L. N. Trefethen
SIAM J. Appl. Math. 54 (1994), 1634-1649. 		PDF
81 Pseudozeros of polynomials and pseudospectra of companion matrices
K.-C. Toh and L. N. Trefethen
Numer. Math. 68 (1994), 403-425. 		PDF
82 GMRES/CR and Arnoldi/Lanczos as matrix approximation problems
A. Greenbaum and L. N. Trefethen
SIAM J. Sci. Comput. 15 (1994), 359-368. 		PDF
83 From the Buffon needle problem to the Kreiss Matrix Theorem
E. Wegert and L. N. Trefethen
Amer. Math. Monthly 101 (1994), 132-139. 		PDF
84 Numerical construction of conformal maps
L. N. Trefethen
Appendix to E. B. Saff and A. D. Snider, Fundamentals of Complex Analysis, 2nd ed., Prentice Hall, 1993.
85 Hydrodynamic stability without eigenvalues
L. N. Trefethen, A. E. Trefethen, S. C. Reddy, and T. A. Driscoll
Science 261 (1993), 578-584. 		PDF
86 Stiffness of ODEs
D. J. Higham and L. N. Trefethen
BIT 33 (1993), 285-303. 		PDF
87 The definition of numerical analysis
L. N. Trefethen
SIAM News 25, 6 Nov. 1992; reprinted in Bull. Inst. Maths. and Applics., 1993 and again as an appendix to L. N. Trefethen and D. A. Bau, III, Numerical Linear Algebra, SIAM, 2000. 		PDF
88 Pseudospectra of matrices
L. N. Trefethen
In D. F. Griffiths and G. A. Watson, eds., Numerical Analysis 1991, Longman, 1992. 		PDF
89 Eigenvalues and pseudo-eigenvalues of Toeplitz matrices
L. Reichel and L. N. Trefethen
Lin. Alg. Applics. 162-164 (1992), 153-185. 		PDF
90 How fast are nonsymmetric matrix iterations?
N. M. Nachtigal, S. C. Reddy and L. N. Trefethen
SIAM J. Matrix Anal. Applics. 13 (1992), 778-795. 		PDF
91 A hybrid GMRES algorithm for nonsymmetric linear systems
N. M. Nachtigal, L. Reichel and L. N. Trefethen
SIAM J. Matrix Anal. Applics. 13 (1992), 796-825. 		PDF
92 Stability of the method of lines
S. C. Reddy and L. N. Trefethen
Numer. Math. 62 (1992), 235-267. 		PDF
93 Two results on polynomial interpolation in equally spaced points
L. N. Trefethen and J. A. C. Weideman
J. Approx. Theory 65 (1991), 247-260. 		PDF
94 Lax-stability of fully discrete spectral methods via stability regions and pseudo-eigenvalues
S. C. Reddy and L. N. Trefethen
Comp. Meth. Appl. Mech. Engr. 80 (1990), 147-164. 		PDF
95 The CF table
E. Hayashi, L. N. Trefethen and M. H. Gutknecht
Constr. Approx. 6 (1990), 195-223. 		PDF
96 A modified Schwarz-Christoffel transformation for elongated regions
L. H. Howell and L. N. Trefethen
SIAM J. Sci. Stat. Comput. 11 (1990), 928-949. 		PDF
97 Approximation theory and numerical linear algebra
L. N. Trefethen
In J. C. Mason and M. G. Cox, eds., Algorithms for Approximation II, Chapman and Hall, 1990.		 Chapter in book
98 Average-case stability of Gaussian elimination
L. N. Trefethen and R. S. Schreiber
SIAM J. Matrix Anal. Applics. 11 (1990), 335-360. 		PDF
99 SCPACK User's Guide
L. N. Trefethen
Numerical Analysis Report 89-2, Dept. of Mathematics, MIT, 1989.
(An earlier edition appeared as an ICASE internal report in 1983.)
100 Schwarz-Christoffel mapping in the 1980's
L. N. Trefethen
Numerical Analysis Report 89-1, Dept. of Mathematics, MIT, 1989.
101 Lax-stability vs. eigenvalue stability of spectral methods
L. N. Trefethen
In K. W. Morton and M. J. Baines, eds., Clarendon Press, 1988. 		Chapter in book
102 The eigenvalues of second-order spectral differentiation matrices
J. A. C. Weideman and L. N. Trefethen
SIAM J. Numer. Anal. 25 (1988), 1279-1298. 		PDF
103 Ill-posedness of absorbing boundary conditions for migration
L. H. Howell and L. N. Trefethen
Geophysics 53 (1988), 593-603.
104 Fourier analysis of the SOR iteration
R. J. LeVeque and L. N. Trefethen
IMA J. Numer. Anal. 8 (1988), 273-279. 		PDF
105
Wide-angle one-way wave equations
L. Halpern and L. N. Trefethen
J. Acoust. Soc. Amer. 84 (1988), 1397-1404. 		PDF
106 Padé, stable Padé, and Chebyshev-Padé approximation
L. N. Trefethen and M. H. Gutknecht
In J. Mason, ed., Algorithms for Approximation, Clarendon Press, 1987. 		PDF
107 An instability phenomenon in spectral methods
L. N. Trefethen and M. R. Trummer
SIAM J. Numer. Anal. 24 (1987), 1008-1023. 		PDF
108 Ideal jet flow in two dimensions
F. Dias, A. R. Elcrat and L. N. Trefethen
J. Fluid Mech. 185 (1987), 275-288. 		PDF
109 Numerical Conformal Mapping, editor
L. N. Trefethen
269 pages. Elsevier, 1986. 		Book
110 Classical free-streamline flow over a polygonal obstacle
A. R. Elcrat and L. N. Trefethen
J. Comp. Appl. Math. 14 (1986), 251-265. 		PDF
111 MATLAB programs for CF approximation
L. N. Trefethen
In C. K. Chui, et al., eds., Approximation Theory V, Academic Press, 1986. 		Chapter in book
112 Conformal mapping solution of Laplace's equation on a polygon with oblique derivative boundary conditions
L. N. Trefethen and R. J. Williams
J. Comp. Appl. Math. 14 (1986), 227-249. 		PDF
113 Well-posedness of one-way wave equations and absorbing boundary conditions
L. N. Trefethen and L. Halpern
Math. Comp. Vol. 47 No. 176 (1986), 421-435. 		PDF
114 Dispersion, dissipation, and stability
L. N. Trefethen
In D. F. Griffiths and G. A. Watson, eds., Numerical Analysis, Longman, 1986. 		Chapter in book
115 Three mysteries of Gaussian elimination
L. N. Trefethen
ACM SIGNUM Newsletter, October 1985. 		PDF
116 Stability of hyperbolic finite-difference models with one or two boundaries
L. N. Trefethen
In B. E. Engquist, et al., eds., Large-Scale Computations in Fluid Mechanics, v. 2, Amer. Math. Soc., 1985.
117 Stability of finite-difference models containing two boundaries or interfaces
L. N. Trefethen
Math. Comp. Vol. 45 No. 172 (1985), 279-300. 		PDF
118 On convergence and degeneracy in rational Padé and Chebyshev approximation
L. N. Trefethen and M. H. Gutknecht
SIAM J. Math. Anal. 16 (1985), 198-210. 		PDF
119 Advanced Problems: 6460-6462
L. R. Duffy, L. E. Mattics, R. J. LeVeque and L. N. Trefethen
The American Mathematical Monthly, Vol. 91, No. 6. (Jun. - Jul., 1984), p. 371. 		PDF
120 On the resolvent condition in the Kreiss Matrix Theorem
R. J. LeVeque and L. N. Trefethen
BIT 24 (1984), 584-591. 		PDF
121 The asymptotic accuracy of rational best approximations to ez on a disk
L. N. Trefethen
J. Approx. Theory 40 (1984), 380-383. 		PDF
122 Square blocks and equioscillation in the Padé, Walsh, and CF tables
L. N. Trefethen
In P. R. Graves-Morris, et al., eds., Rational Approximation and Interpolation, Lect. Notes in Math, v. 1105, Springer, 1984. 		Chapter in book
123 Real vs. complex rational Chebyshev approximation on complex domains
L. N. Trefethen and M. H. Gutknecht
In L. Collatz et al., eds., Numerical Methods of Approximation Theory, v. 7, Birkhäuser, 1984. 		Chapter in book
124 Analysis and design of polygonal resistors by conformal mapping
L. N. Trefethen
Z. Angew. Math. Phys. 35 (1984), 692-704. 		PDF
125 Instability of finite difference models for hyperbolic initial boundary value problems
L. N. Trefethen
Comm. Pure Appl. Math. 37 (1984), 329-367.
(This article won the first Fox Prize in Numerical Analysis.)
126 On Lp-instability and dispersion at discontinuities in finite difference schemes
L. N. Trefethen
In R. Vichnevetsky and R. Stepleman, eds., Proc. Fifth IMACS Int. Symp. on Computer Methods for Partial Diffl. Eqs., IMACS, 1984.
127 Fourier Analysis of Numerical Approximations of Hyperbolic Equations, by R. Vichnevetsky and J. B. Bowles
L. N. Trefethen
SIAM Review Vol. 26 No. 3 (1984), 439-441. 		PDF
(Book Review)
128 Circularity of the error curve and sharpness of the CF method in complex Chebyshev approximation
L. N. Trefethen
SIAM J. Numer. Anal. 20 (1983), 1258-1263. 		PDF
129 The Carathéodory-Fejér (CF) method for recursive digital filter design
M. H. Gutknecht, J. O. Smith and L. N. Trefethen
IEEE Trans. Acoustics, Speech, and Signal Proc. ASSP-31 (1983), 1417-1426. 		PDF
130 The Carathéodory-Fejér method for real rational approximation
L. N. Trefethen and M. H. Gutknecht
SIAM J. Numer. Anal. 20 (1983), 420-436. 		PDF
131 Real vs. complex rational Chebyshev approximation on an interval
L. N. Trefethen and M. H. Gutknecht
Trans. Amer. Math. Soc. 280 (1983), 555-561. 		PDF
132 Nonuniqueness of best rational Chebyshev approximations on the unit disk
M. H. Gutknecht and L. N. Trefethen
J. Approx. Theory 39 (1983), 275-288. 		PDF
133 Real and complex Chebyshev approximation on the unit disk and interval
M. H. Gutknecht and L. N. Trefethen
Bull. Amer. Math. Soc. 8 (1983), 455-458. 		PDF
134 Chebyshev approximation on the unit disk
L. N. Trefethen
In Computational Aspects of Complex Analysis, H. Werner, et al., eds., D. Reidel, 1983. 		PDF
135 Group velocity interpretation of the stability theory of Gustafsson, Kreiss, and Sundström
L. N. Trefethen
J. Comp. Phys. 49 (1983), 199-217. 		PDF
136 Group velocity in finite difference schemes
L. N. Trefethen
SIAM Review 24 (1982), 113-136. 		PDF
137 Real polynomial Chebyshev approximation by the Carathéodory-Fejér method
M. H. Gutknecht and L. N. Trefethen
SIAM J. Numer. Anal. 19 (1982), 358-371. 		PDF
138 Rational Chebyshev approximation on the unit disk
L. N. Trefethen
Numer. Math. 37 (1981), 297-320. 		PDF
139 Near-circularity of the error curve in complex Chebyshev approximation
L. N. Trefethen
J. Approx. Theory 31 (1981), 344-367. 		PDF
140 Computation and application of Schwarz-Christoffel transformations
L. N. Trefethen
In Proceedings of the 1980 Army Numerical Analysis and Computers Conference, Army Research Office. 		PDF
(review only)
141 Numerical computation of the Schwarz-Christoffel transformation
L. N. Trefethen
SIAM J. Sci. Stat. Comput. 1 (1980), 82-102. 		PDF
PDF (Erratum)