Books and papers by Lloyd N. Trefethen

Coauthorship graph organized by Michael Overton at the LNT60 conference, Oxford, August 2015.

Books are listed in green.
Additional essays can be found here.
For one-line summaries of each publication, click here.
For a one-page summary of the most important publications, click here.

Not yet appeared
Polynomial and rational convergence rates for Laplace problems on planar domains, Proc. Roy. Soc. A, to appear.
The first five years of the AAA algorithm, with Nakatsukasa and Sète. Intl. Cong. Basic Sci., to appear.
Sigmoid functions and multiscale resolution of singularities, with Huybrechs. SIAM Rev., to appear.

Computation of 2D Stokes flows via lightning and AAA rational approximation, with Xue and Waters. SIAM J. Sci. Comput., 46 (2024), A1214--A1234.
AAA rational approximation on a continuum, with Driscoll and Nakatsukasa. SIAM J. Sci. Comput., 46 (2024), A929-A952. (Matlab/Julia codes)

Resolution of singularities by rational functions, with Herremans and Huybrechs. SIAM J. Numer. Anal., 61 (2023), 2580-2600.
Numerical analytic continuation. Japan J. Indust. Appl. Math., 40 (2023), 1587-1636.
AAA interpolation of equispaced data, with Huybrechs. BIT Numer. Math., 63 (2023), 21.
Spectacularly large expansion coefficients in Müntz's theorem. La Matematica, 2 (2023), 31-36.
AAA-least squares rational approximation and solution of Laplace problems, with Costa. A. Hujdurović, et al., European Congr. Math., 2023.

An Applied Mathematician's Apology. SIAM, 2022.
Rectangular eigenvalue problems, with Hashemi and Nakatsukasa. Advances in Computational Mathematics, 48:80 (2022).
Exactness of quadrature formulas. SIAM Rev., 64 (2022), 132-150.
Lightning Stokes solver, with Brubeck. SIAM J. Sci. Comp., 44 (2022), A1205-A1226.
Numerical Linear Algebra, 25th Anniversary Edition, with Bau. SIAM, 2022.

Reciprocal-log approximation and planar PDE solvers, with Nakatsukasa. SIAM J. Numer. Anal., 59 (2021), 2801-2822.
Log-lightning computation of capacity and Green's function, with Baddoo. Maple Trans., 1 (2021), 5:1-5:13. (video abstract)
Vandermonde with Arnoldi, with Brubeck and Nakatsukasa. SIAM Rev., 63 (2021), 405-415.
Exponential node clustering at singularities for rational approximation, quadrature, and PDEs, with Nakatsukasa and Weideman. Numer. Math., 147 (2021), 227-254.

An algorithm for real and complex rational minimax approximation, with Nakatsukasa. SIAM J. Sci. Comp., 42 (2020), A3157-A3179.
Numerical conformal mapping with rational functions. Comp. Meth. Funct. Th., 20 (2020), 369-387.
Eight perspectives on an exponentially ill-conditioned ODE. SIAM Rev., 62 (2020), 439-462.
Quantifying the ill-conditioning of analytic continuation. BIT Numer. Math., 60 (2020), 901-915.

Approximation Theory and Approximation Practice, Extended Edition. SIAM, 2019.
Solving Laplace problems with corner singularities via rational functions, with Gopal. SIAM J. Numer. Anal., 57 (2019), 2074-2094.
New Laplace and Helmholtz solvers, with Gopal. Proc. Nat. Acad. Sci. USA, 116 (2019), 10223.
Representation of conformal maps by rational functions, with Gopal. Numer. Math., 142 (2019), 359-382.
Smooth random functions, random ODEs, and Gaussian processes, with Filip and Javeed. SIAM Rev., 61 (2019), 185-205.

The AAA algorithm for rational approximation, with Nakatsukasa and Sète. SIAM J. Sci. Comp., 40 (2018), A1494-A1522.
Series solution of Laplace problems. ANZIAM J., 60 (2018), 1-26.
Rational minimax approximation via adaptive barycentric representations, with Filip, Nakatsukasa, and Beckermann. SIAM J. Sci. Comp, 40 (2018), A2427-A2455.
Rational approximation of xn, with Nakatsukasa. Proc. Amer. Math. Soc., 146 (2018), 5219-5224.

Exploring ODEs, with Birkisson and T. Driscoll. SIAM, 2017.
Block operators and spectral discretizations, with Aurentz. SIAM Rev., 59 (2017), 423-446.
Chopping a Chebyshev series, with Aurentz. ACM Trans. Math. Softw., 43 (2017), 33.
Trigonometric interpolation and quadrature in perturbed points, with Austin. SIAM J. Numer. Anal., 55 (2017), 2113-2122.
Cubature, approximation, and isotropy in the hypercube. SIAM Rev., 59 (2017), 469-491.
Multivariate polynomial approximation in the hypercube. Proc. AMS, 145 (2017), 4837-4844.
Chebfun in three dimensions, with Hashemi. SIAM J. Sci. Comp., 39 (2017), C341-C363.

Euler-Maclaurin and Gregory interpolants, with Javed. Numer. Math. 132 (2016), 201-216.
Inverse Yogiisms. Notices AMS, 63 (2016).

Computing eigenvalues of real symmetric matrices with rational filters in real arithmetic, with Austin. SIAM J. Sci. Comp., 37 (2015), A1365-A1387.
Mathematics of the Faraday Cage, with Chapman and Hewett. SIAM Rev., 57 (2015), 398-417.
Extension of Chebfun to periodic functions, with Wright, Javed, and Montanelli. SIAM J. Sci. Comp, 37 (2015), C554-C573.
Continuous analogues of matrix factorizations, with Townsend. Proc. Roy. Soc. A, 471 (2015), 20140585.
Computing numerically with functions instead of numbers. Comm. ACM, 58 (2015), 91-97.

A trapezoidal rule error bound unifying the Euler-Maclaurin formula and geometric convergence for periodic functions, with Javed. Proc. R. Soc. A, 470 (2014), xx-xx.
Chebfun Guide, with Driscoll and Hale. Pafnuty Press, 2014.
The exponentially convergent trapezoidal rule, with Weideman. SIAM Rev., 56 (2014), 385-458.
Numerical algorithms based on analytic function values at roots of unity, with A. Austin and Kravanja. SIAM J. Numer. Anal., 52 (2014), 1795-1821.

Gaussian elimination as an iterative algorithm, with Townsend. SIAM News, 2013.
An extension of Chebfun to two dimensions, with Townsend. SIAM J. Sci. Comp., 35 (2013), C495-C518.
Approximation Theory and Approximation Practice, SIAM, 2013.
Robust Padé approximation via SVD, with Gonnet and Güttel. SIAM Rev., 55 (2013), 101-117.

Chebfun and numerical quadrature, with Hale. Sci. China Math., 55 (2012), 1749-1760.
Stability of barycentric interpolation formulas for extrapolation, with Webb and Gonnet. SIAM J. Sci. Comp., 34 (2012), A3009-A3015.

A sinc function analogue of Chebfun, with Richardson. SIAM J. Sci. Comp., 33 (2011), 2519-2535.
Robust rational interpolation and least-squares, with Gonnet and Pachón. Elect. Trans. Numer. Anal., 38 (2011), 146-167.
Trefethen's Index Cards: Forty Years of Notes about People, Words and Mathematics. World Scientific Publishing, 2011.
Six myths of polynomial interpolation and quadrature. Maths. Today, 47 (2011), 184-188. (Persian translation)
A robust implementation of the Carathéodory-Fejér method for rational approximation, with Van Deun. BIT Numer. Math., 51 (2011), 1039-1050.
Ten digit problems. In Schleicher and Lackmann, eds., Invitation to Mathematics: From Competitions to Research, Springer, 2011.
Impossibility of fast stable approximation of analytic functions from equispaced samples, with Platte and Kuijlaars. SIAM Rev., 53 (2011), 308-318.

Four bugs on a rectangle, with Chapman and Lottes. Proc. Roy. Soc. A, 467 (2010), 881-896.
Piecewise-smooth chebfuns, with Pachón and Platte. IMA J. Numer. Anal., 30 (2010), 898-916.
Householder triangularization of a quasimatrix. IMA J. Numer. Anal., 30 (2010), 887-897.
Chebfun: A new kind of numerical computing, with Platte. In Progress in Industrial Mathematics at ECMI 2008, Springer, 2010.

Barycentric-Remez algorithms for best polynomial approximation in the chebfun system, with Pachón. BIT Numer. Anal., 49 (2009), 721-741.

The chebop system for automatic solution of differential equations, with Driscoll and Bornemann. BIT Numer. Math., 48 (2008), 701-723.
Numerical analysis. In Gowers, ed., Princeton Companion to Mathematics, Princeton U. Press, 2008.
Computing Aα, log(A), and related matrix functions by contour integrals, with Hale and Higham. SIAM J. Numer. Anal., 46 (2008), 2505-2523.
G.H. Hardy, applied mathematician. SIAM News, 41, no. 3 (2008), pp. 1 and 3.
New quadrature formulas from conformal maps, with Hale. SIAM J. Numer. Anal., 46 (2008), 930-948.
Is Gauss quadrature better than Clenshaw-Curtis? SIAM Rev., 50 (2008), 67-87.

Obituary Gene H. Golub (1932-2007). Nature, 450 (2007), 962.
Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals, with Schmelzer. Elect. Trans. Numer. Anal., 29 (2007), 1-18.
The kink phenomenon in Fejér and Clenshaw-Curtis quadrature, with Weideman. Numer. Math., 107 (2007), 707-727.
Computing numerically with functions instead of numbers. Math. Comput. Sci., 1 (2007), 9-19.
Computing the gamma function using contour integrals and rational approximations, with Schmelzer. SIAM J. Numer. Anal., 45 (2007), 558-571.
Parabolic and hyperbolic contours for computing the Bromwich integral, with Weideman. Math. Comp., 76 (2007), 1341-1356.

A rational spectral collocation method with adaptively transformed Chebyshev grid points, with Tee. SIAM J. Sci. Comp., 28 (2006), No. 5, 1798-1811.
Talbot quadratures and rational approximations with Weideman and Schmelzer. BIT Numer. Math., 46 (2006) 46, 653-670.
Computed eigenmodes of planar regions, with Betcke. In Chernov, et al., eds., Recent Advances in Differential Equations and Mathematical Physics, Contemp. Math. 412, Amer. Math. Soc., 2006, 297-314.

Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators, with Embree. Princeton U. Press, 2005.
Ten Digit Algorithms. Numerical Analysis Report 05/13, Oxford University, 2005. (From the 2005 A. R. Mitchell Lecture, Dundee.)
Wave packet pseudomodes of variable coefficient differential operators. Proc. Roy. Soc. Lond. A, 461 (2005), 3099-3122.
Reviving the method of particular solutions, with Betcke. SIAM Rev., 47 (2005), 469-491.
Fourth-order time-stepping for stiff PDEs, with Kassam. SIAM J. Sci. Comp., 26 (2005), 1214-1233.

Computations of eigenvalue avoidance in planar domains, with Betcke. Proc. Appl. Math. Mech., 4 (2004), 634-635.
Wave packet pseudomodes of twisted Toeplitz matrices, with Chapman. Comm. Pure Appl. Math., 57 (2004), 1233-1264.
An extension of Matlab to continuous functions and operators, with Battles. SIAM J. Sci. Comp. 25 (2004), 1743-1770.
Barycentric Lagrange interpolation, with Berrut. SIAM Rev., 46 (2004), 501-517.

An American at Oxford. Oxford Magazine, May 2003. (This essay was discussed in the Times Higher Education Supplement and elsewhere.)
Linearized pipe flow to Reynolds number 107, with Meseguer. J. Comp. Phys., 186 (2003), 178-197.
A multipole method for Schwarz-Christoffel mapping of polygons with thousands of sides, with Banjai. SIAM J. Sci. Comp., 25 (2003), 1042-1065.

Schwarz-Christoffel Mapping, with Driscoll. Cambridge U. Press, 2002.
Pseudospectra of rectangular matrices, with Wright. IMA J. Numer. Anal., 22 (2002), 501-519.
Piecewise continuous Toeplitz matrices and operators: slow approach to infinity, with Böttcher and Embree. SIAM J. Matrix Anal. Applics., 24 (2002), 484-489.
A hundred-dollar, hundred-digit challenge. SIAM News, 35, No. 1, Jan./Feb. 2002. (This led to two books by Bornemann et al.)
Chastened challenge sponsor: "I misjudged". SIAM News, 35, No. 6, July/Aug. 2002. (follow-up article).

Numerical solution of the omitted area problem of univalent function theory, with Banjai. Comp. Meth. Func. Th., 1 (2001), 259-273.
Spectra, pseudospectra and localization for random bidiagonal matrices, with Contedini and Embree. Comm. Pure Appl. Math., 54 (2001), 595-623.
Large-scale computation of pseudospectra using ARPACK and eigs, with Wright. SIAM J. Sci. Comput., 23 (2001), 591-605.
Generalizing eigenvalue theorems to pseudospectra theorems, with Embree. SIAM J. Sci. Comput., 23 (2001), 583-590.
Eigenvalues and musical instruments, with Howle. J. Comp. Appl. Math., 135 (2001), 23-40.
Computing Lyapunov constants for random recurrences with smooth coefficients, with Wright. J. Comp. Appl. Math., 132 (2001), 331-340.

Spectral Methods in MATLAB. SIAM, 2000.
Threshold amplitudes for transition to turbulence in a pipe, with Chapman, Henningson, Meseguer, Mullin, and Nieuwstadt. Num. Anal. Group Report NA 00/17, Oxford U. Computing Lab., 2000.
Predictions for scientific computing fifty years from now. Mathematics Today, April 2000, 53-57. (This essay won the Catherine Richards Prize of the Inst. for Maths. and Applics., 2000.)
How many shuffles to randomize a deck of cards?, with 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.)

Growth and decay of random Fibonacci sequences, with Embree. Proc. Roy. Soc. Lond. A, 455 (1999), 2471-2485.
Large-amplitude transient growth in the linear evolution of equatorial spread F with a sheared zonal flow, with Flaherty and Seyler. J. Geophys. Res., 104 (1999), 6843.
Spectra and pseudospectra for pipe Poiseuille flow, with A. E. Trefethen and Schmid. Comp. Meth. Appl. Mech. Engr., 1926 (1999), 413-420.
Computation of pseudospectra. Acta Numer., 8 (1999), 247-295.
The Kreiss matrix theorem on a general complex domain, with Toh. SIAM J. Matrix Anal. Applics., 21 (1999), 145-165.
Green's functions for multiply connected domains via conformal mapping, with Embree. SIAM Rev., 41 (1999), 721-744.

Schwarz-Christoffel mapping in the computer era, with Driscoll. Proc. Int. Congr. Math. 1998, 533-542.
From potential theory to matrix iterations in six steps, with Driscoll and Toh. SIAM Rev., 40 (1998), 547-578.
Condition numbers of random triangular matrices, with Viswanath. SIAM J. Matrix Anal. Applics., 19 (1998), 564-581.
Maxims about numerical mathematics, computers, science, and life. SIAM News v. 31, no. 1 (1998), p. 4.
The Chebyshev polynomials of a matrix, with Toh. SIAM J. Matrix Anal. Applics., 20 (1998), 400-419.
A numerical analyst looks at the 'cutoff phenomenon' in card shuffling and other Markov chains, with Jonsson. In Griffiths, Higham, and A. Watson, eds., Numerical Analysis 1997, Addison Wesley Longman, 1998.

Numerical Linear Algebra, with David Bau III. SIAM, 1997 (SIAM's all-time bestseller.)
Pseudospectra of linear operators. In ICIAM '95: Proceedings of the Third International Congress on Industrial and Applied Mathematics, Akademie-Verlag, Berlin, 1996, pp. 401-434; also SIAM Rev. 39 (1997), 383-406.
Low-dimensional models of subcritical transition to turbulence, with Baggett. Phys. Fluids, 9 (1997), 1043-1053.

Finite Difference and Spectral Methods for Ordinary and Partial Differential Equations. Graduate textbook, unpublished, 1996.
MultiMATLAB: MATLAB on multiple processors, with A. E. Trefethen, Menon, Chang, Czajkowski, and Myers. Tech. Rep. CTC96TR293, Cornell Theory Center, 1996.
Matrix behaviour, unitary reducibility, and Hadamard products, with Viswanath. Tech. Rep. TR96-1596, Dept. of Comp. Sci., Cornell U., July, 1996.
Pseudospectra for the wave operator with an absorbing boundary, with Driscoll. J. Comp. Appl. Math., 69 (1996), 125-142.
Calculation of pseudospectra by the Arnoldi iteration, with Toh. SIAM J. Sci. Comp. 17, (1996), 1-15.

A mostly linear model of transition to turbulence, with Baggett and Driscoll. Phys. Fluids, 7 (1995), 833-838.
Do the pseudospectra of a matrix determine its behavior?, with Greenbaum. Unpublished technical report, 1995.

Pseudospectra of the convection-diffusion operator, with Reddy. SIAM J. Appl. Math., 54 (1994), 1634-1649.
Pseudozeros of polynomials and pseudospectra of companion matrices, with Toh. Numer. Math., 68 (1994), 403-425.
GMRES/CR and Arnoldi/Lanczos as matrix approximation problems, with Greenbaum. SIAM J. Sci. Comput., 15 (1994), 359-368.
From the Buffon needle problem to the Kreiss Matrix Theorem, with Wegert. Amer. Math. Monthly, 101 (1994), 132-139.

Numerical construction of conformal maps. Appendix to Saff and Snider, Fundamentals of Complex Analysis, 2nd ed., Prentice Hall, 1993.
Hydrodynamic stability without eigenvalues, with A. E. Trefethen, Reddy, and T. A. Driscoll. Science, 261 (1993), 578-584.
Stiffness of ODEs, with Higham. BIT Numer. Math., 33 (1993), 285-303.
The definition of numerical analysis. SIAM News 25, 6 Nov. 1992. Reprinted in Bull. Inst. Maths. and Applics., 1993 and again as an appendix to Trefethen and Bau, Numerical Linear Algebra, SIAM, 1997.

Pseudospectra of matrices. In Griffiths and Watson, eds., Numerical Analysis 1991, Longman, 1992.
Eigenvalues and pseudo-eigenvalues of Toeplitz matrices, with Reichel. Lin. Alg. Applics., 162-164 (1992), 153-185.
How fast are nonsymmetric matrix iterations?, with Nachtigal and Reddy. SIAM J. Matrix Anal. Applics., 13 (1992), 778-795.
A hybrid GMRES algorithm for nonsymmetric linear systems, with Nachtigal and Reichel. SIAM J. Matrix Anal. Applics., 13 (1992), 796-825.
Stability of the method of lines, with Reddy. Numer. Math., 62 (1992), 235-267.

Two results on polynomial interpolation in equally spaced points, with Weideman. J. Approx. Theory, 65 (1991), 247-260.

Lax-stability of fully discrete spectral methods via stability regions and pseudo-eigenvalues, with Reddy. Comp. Meth. Appl. Mech. Engr., 80 (1990), 147-164.
The CF table, with Hayashi and Gutknecht. Constr. Approx., 6 (1990), 195-223.
A modified Schwarz-Christoffel transformation for elongated regions with Howell. SIAM J. Sci. Stat. Comput., 11 (1990), 928-949.
Approximation theory and numerical linear algebra. In Mason and Cox, eds., Algorithms for Approximation II, Chapman and Hall, 1990.
Average-case stability of Gaussian elimination, with Schreiber. SIAM J. Matrix Anal. Applics., 11 (1990), 335-360.

Schwarz-Christoffel mapping in the 1980's. Numerical Analysis Report 89-1, Dept. of Mathematics, MIT, 1989.
SCPACK User's Guide. Numerical Analysis Report 89-2, Dept. of Mathematics, MIT, 1989. (An earlier edition appeared as an ICASE internal report in 1983.)

Lax-stability vs. eigenvalue stability of spectral methods. In Morton and Baines, eds., Clarendon Press, 1988.
The eigenvalues of second-order spectral differentiation matrices, with Weideman. SIAM J. Numer. Anal., 25 (1988), 1279-1298.
Ill-posedness of absorbing boundary conditions for migration, with Howell. Geophysics, 53 (1988), 593-603.
Fourier analysis of the SOR iteration, with LeVeque. IMA J. Numer. Anal., 8 (1988), 273-279.
Wide-angle one-way wave equations, with Halpern. J. Acoust. Soc. Amer., 84 (1988), 1397-1404.

Padé, stable Padé, and Chebyshev-Padé approximation with Gutknecht. In Mason and Cox, eds., Algorithms for Approximation, Clarendon Press, 1987.
An instability phenomenon in spectral methods, with Trummer. SIAM J. Numer. Anal., 24 (1987), 1008-1023.
Ideal jet flow in two dimensions, with Dias and Elcrat. J. Fluid Mech., 185 (1987), 275-288.

Numerical Conformal Mapping, editor. Elsevier, 1986.
Classical free-streamline flow over a polygonal obstacle, with Elcrat. J. Comp. Appl. Math., 14 (1986), 251-265.
MATLAB programs for CF approximation. In Chui, et al., eds., Approximation Theory V, Academic Press, 1986. (This is probably the first research paper ever published containing a MATLAB program.)
Conformal mapping solution of Laplace's equation on a polygon with oblique derivative boundary conditions, with Williams. J. Comp. Appl. Math., 14 (1986), 227-249.
Well-posedness of one-way wave equations and absorbing boundary conditions, with Halpern. Math. Comp., 47 (1986), 421-435.
Dispersion, dissipation, and stability. In Griffiths and Watson, eds., Numerical Analysis, Longman, 1986.

Three mysteries of Gaussian elimination. ACM SIGNUM Newsletter, October 1985.
Stability of hyperbolic finite-difference models with one or two boundaries. In Engquist, et al., eds., Large-Scale Computations in Fluid Mechanics, v. 2, Amer. Math. Soc., 1985.
Stability of finite-difference models containing two boundaries or interfaces. Math. Comp., 45 (1985), 279-300.
On convergence and degeneracy in rational Padé and Chebyshev approximation, with Gutknecht. SIAM J. Math. Anal., 16 (1985), 198-210.

On the resolvent condition in the Kreiss Matrix Theorem, with LeVeque. BIT Numer. Math., 24 (1984), 584-591.
The asymptotic accuracy of rational best approximations to ez on a disk. J. Approx. Th., 40 (1984), 380-383.
Square blocks and equioscillation in the Padé, Walsh, and CF tables. In Graves-Morris, et al., eds., Rational Approximation and Interpolation, Lect. Notes in Math, v. 1105, Springer, 1984.
Real vs. complex rational Chebyshev approximation on complex domains, with Gutknecht. In Collatz et al., eds., Numerical Methods of Approximation Theory, v. 7, Birkhäuser, 1984.
Analysis and design of polygonal resistors by conformal mapping, Z. Angew. Math. Phys., 35 (1984), 692-704.
Instability of finite difference models for hyperbolic initial boundary value problems. Comm. Pure Appl. Math., 37 (1984), 329-367. (This article won the first Fox Prize in Numerical Analysis.)
On Lp-instability and oscillation at discontinuities in finite difference schemes. In Vichnevetsky and Stepleman, eds., Proc. Fifth IMACS Int. Symp. on Computer Methods for Partial Diffl. Eqs., IMACS, 1984.
Fourier Analysis of Numerical Approximations of Hyperbolic Equations, by Vichnevetsky and Bowles, SIAM Rev., 26 (1984), 439-441 (book review).

Circularity of the error curve and sharpness of the CF method in complex Chebyshev approximation. SIAM J. Numer. Anal., 20 (1983), 1258-1263.
The Carathéodory-Fejér (CF) method for recursive digital filter design, with Gutknecht and Smith. IEEE Trans. Acoust., Speech, Sign. Proc. ASSP-31 (1983), 1417-1426.
The Carathéodory-Fejér method for real rational approximation, with Gutknecht. SIAM J. Numer. Anal. 20 (1983), 420-436.
Real vs. complex rational Chebyshev approximation on an interval, with Gutknecht. Trans. Amer. Math. Soc., (1983), 555-561.
Nonuniqueness of best rational Chebyshev approximations on the unit disk, with Gutknecht. J. Approx. Th., 39 (1983), 275-288.
Real and complex Chebyshev approximation on the unit disk and interval, with Gutknecht. Bull. Amer. Math. Soc., 8 (1983), 455-458.
Chebyshev approximation on the unit disk. In Computational Aspects of Complex Analysis, Werner, et al., eds., D. Reidel, 1983.
Group velocity interpretation of the stability theory of Gustafsson, Kreiss, and Sundström. J. Comp. Phys., 49 (1983), 199-217.

Group velocity in finite difference schemes. SIAM Rev., 24 (1982), 113-136.
Real polynomial Chebyshev approximation by the Carathéodory-Fejér method, with Gutknecht. SIAM J. Numer. Anal., 19 (1982), 358-371.

Rational Chebyshev approximation on the unit disk. Numer. Math., 37 (1981), 297-320.
Near-circularity of the error curve in complex Chebyshev approximation. J. Approx. Theory, 31 (1981), 344-367.
Numerical Analysis Program Library User's Guide, SLAC, Stanford, 1981.

Computation and application of Schwarz-Christoffel transformations. In Proceedings of the 1980 Army Numerical Analysis and Computers Conference, Army Research Office.
Numerical computation of the Schwarz-Christoffel transformation and erratum. SIAM J. Sci. Stat. Comput., 1 (1980), 82-102.

Chebyshev Approximation by Polynomials in the Complex Plane, undergraduate thesis at Harvard College.

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