1 | Computing eigenvalues of real symmetric matrices with rational filters in real arithmetic A. P. Austin and L. N. Trefethen SIAM J. Sci. Comp. Vol. 37, No. 3, pp. A1365-A1387 2015. |
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2 | Mathematics of the Faraday Cage S. J. Chapman, D. P. Hewett and L. N. Trefethen SIAM Review, Vol. 57, No. 3, pp. 398-417 2015. |
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3 | Extension of Chebfun to periodic functions G. B. Wright, M. Javed, H. Montanelli and L. N. Trefethen SIAM J. Sci. Comp, Vol. 37, No. 5, pp. C554-C573 2015. |
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4 | Continuous analogues of matrix factorizations A. Townsend and L. N. Trefethen SIAM Review, Submitted 2014. |
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5 | A trapezoidal rule error bound unifying the Euler-Maclaurin formula and geometric convergence for periodic functions M. Javed and L. N. Trefethen Proc. R. Soc. A, Vol. 470, Issue 2161 2014. |
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6 | The exponentially convergent trapezoidal rule L. N. Trefethen and J. A. C. Weideman SIAM Review, Vol. 56, No. 3, pp. 385-458 2014. |
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7 | Numerical algorithms based on analytic function values at roots of unity A. P. Austin, P. Kravanja and L. N. Trefethen SINUM, Vol. 52, No. 4, pp. 1795-1821 2014. |
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8 | Gaussian elimination as an iterative algorithm A. Townsend and L. N. Trefethen SIAM, Submitted 2013. |
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9 | An extension of Chebfun to two dimensions A. Townsend and L. N. Trefethen SISC, Vol. 35, No. 6, pp. C495-C518 2013. |
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10 | SIAM Approximation Theory and Approximation Practice L. N. Trefethen SIAM 2013. |
Book |
11 | Chebfun and numerical quadrature N. Hale and L. N. Trefethen Sci China Math, accepted, 2012. |
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12 | Robust Padé approximation via SVD P. Gonnet, S. Güttel and L. N. Trefethen SIAM Review, submitted, 2011. |
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13 | Stability of barycentric interpolation formulas M. Webb, L. N. Trefethen and P. Gonnet SIAM J. Sci. Comp., submitted, 2011. |
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14 | A sinc function analogue of Chebfun M. Richardson and L. N. Trefethen SIAM J. Sci. Comp. Vol. 33 (2011), No.5, 2519-2535. |
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15 | Robust rational interpolation and least-squares P. Gonnet, R. Pachón and L. N. Trefethen Elect. Trans. Numer. Anal. 38 (2011), 146-167. |
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16 | Trefethen's Index Cards: Forty Years of Notes about People, Words and Mathematics L. N. Trefethen xv + 368 pages. World Scientific Publishing, 2011. |
Book |
17 | Six myths of polynomial interpolation and quadrature L. N. Trefethen Maths. Today 47 (2011), 184-188. |
PDF; Persian translation |
18 | A robust implementation of the Carathéodory-Fejér method for rational approximation J. Van Deun and L. N. Trefethen BIT Numer Math 51 (2011), 1039-1050. |
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19 | 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 |
20 | 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. |
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21 | Four bugs on a rectangle S. J. Chapman, J. Lottes and L. N. Trefethen Proc. Roy. Soc. A 467 (2011), 881-896. |
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22 | Piecewise-smooth chebfuns R. Pachón, R. B. Platte and L. N. Trefethen IMA J. Numer. Anal. 30 (2010), 898-916. |
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23 | Householder triangularization of a quasimatrix L. N. Trefethen IMA J. Numerical Analysis 30 (2010), 887-897. |
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24 | Barycentric-Remez algorithms for best polynomial approximation in the chebfun system R. Pachón and L. N. Trefethen BIT Numer. Anal. 49 (2009), 721-741. |
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25 | The chebop system for automatic solution of differential equations T. A. Driscoll, F. Bornemann and L. N. Trefethen BIT Numerical Mathematics (2008), 701-723. |
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26 | Numerical analysis L. N. Trefethen In W. T. Gowers, ed., Princeton Companion to Mathematics, Princeton U. Press. 2008. |
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27 | 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. |
19 | G.H. Hardy, applied mathematician L. N. Trefethen SIAM News, Vol. 41 / No. 3, pp. 1 and 3, April 2008. |
28 | New quadrature formulas from conformal maps N. Hale and L. N. Trefethen SIAM J. Numer. Anal., Vol. 46, No. 2, 930-948. 2008. |
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29 | Is Gauss quadrature better than Clenshaw-Curtis? L. N. Trefethen SIAM Review 50, No. 1, 67-87, 2008. |
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30 | Obituary Gene H. Golub (1932-2007) L. N. Trefethen Nature, Vol. 450, p. 962, 13 Dec. 2007. |
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31 | 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. |
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32 | The kink phenomenon in Fejér and Clenshaw-Curtis quadrature J. A. C. Weideman and L. N. Trefethen Numer. Math. (2007) 107: 707-727. |
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33 | Computing numerically with functions instead of numbers L. N. Trefethen Math. Comput. Sci. 1 (2007), 9-19. |
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34 | 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. |
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35 | Parabolic and hyperbolic contours for computing the Bromwich integral J. A. C. Weideman and L. N. Trefethen Math. Comp. 76 (2007), 1341-1356. |
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36 | 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. |
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37 | Talbot quadratures and rational approximations L. N. Trefethen, J. A. C. Weideman and T. Schmelzer BIT Numerical Mathematics (2006) 46, 653-670. |
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38 | 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. |
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39 | 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 |
40 | Ten Digit Algorithms L. N. Trefethen Numerical Analysis Report 05/13, Oxford University, 2005. (From the 2005 A. R. Mitchell Lecture, Dundee.) |
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41 | Wave packet pseudomodes of variable coefficient differential operators L. N. Trefethen Proc. Roy. Soc. Lond. A 561 (2005), 3099-3122. |
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42 | Reviving the method of particular solutions T. Betcke and L. N. Trefethen SIAM Review 47 (2005), 469-491. |
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43 | Fourth-order time-stepping for stiff PDEs A. K. Kassam and L. N. Trefethen SIAM J. Sci. Comp. 26 (2005), 1214-1233. |
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44 | Computations of eigenvalue avoidance in planar domains T. Betcke and L. N. Trefethen Proc. Appl. Math. Mech. 4 (2004), 634-635. |
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45 | Wave packet pseudomodes of twisted Toeplitz matrices L. N. Trefethen and S. J. Chapman Comm. Pure Appl. Math. 57 (2004), 1233-1264. |
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46 | An extension of Matlab to continuous functions and operators Z. Battles and L. N. Trefethen SIAM J. Sci. Comp. 25 (2004), 1743-1770. |
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47 | Barycentric Lagrange interpolation J.-P. Berrut and L. N. Trefethen SIAM Review 46 (2004), 501-517. |
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48 | An American at Oxford L. N. Trefethen Oxford Magazine, May 2003. (This essay was discussed in the Times Higher Education Supplement and elsewhere.) |
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49 | Linearized pipe flow to Reynolds number 107 A. Meseguer and L. N. Trefethen J. Comp. Phys. 186 (2003), 178-197. |
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50 | 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. |
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51 | Schwarz-Christoffel Mapping Tobin A. Driscoll and L. N. Trefethen xvi+132 pages. Cambridge U. Press, 2002. |
Book |
52 | Pseudospectra of rectangular matrices T. G. Wright and L. N. Trefethen IMA J. Numer. Anal. 22 (2002), 501-519. |
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53 | 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. |
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54 | Chastened Challenge Sponsor: "I Misjudged" L. N. Trefethen SIAM News, Vol. 35, No. 6, July/Aug. 2002. (follow-up article). |
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55 | 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.) |
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56 | 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. |
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57 | Spectra, pseudospectra and localization for random bidiagonal matrices L. N. Trefethen, M. Contedini and M. Embree Comm. Pure Appl. Math. 54 (2001), 595-623. |
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58 | Large-scale computation of pseudospectra using ARPACK and eigs T. G. Wright and L. N. Trefethen SIAM J. Sci. Comput. 23 (2001), 591-605. |
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59 | Generalizing eigenvalue theorems to pseudospectra theorems M. Embree and L. N. Trefethen SIAM J. Sci. Comput. 23 (2001), 583-590. |
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60 | Eigenvalues and musical instruments V. E. Howle and L. N. Trefethen J. Comp. Appl. Math. 135 (2001), 23-40. |
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61 | Computing Lyapunov constants for random recurrences with smooth coefficients T. G. Wright and L. N. Trefethen J. Comp. Appl. Math. 132 (2001), 331-340. |
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62 | Spectral Methods in MATLAB L. N. Trefethen xviii+165 pages. SIAM, 2000. |
Book |
63 | Pseudospectra Gateway. M. Embree and L. N. Trefethen Web Site: http://www.cs.ox.ac.uk/pseudospectra, 2000. |
Web pages |
64 | 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. |
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65 | 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.) |
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66 | 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.) |
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67 | Growth and decay of random Fibonacci sequences M. Embree and L. N. Trefethen Proc. Royal Soc. Lond. A 455 (1999), 2471-2485. |
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68 | 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. |
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69 | 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. |
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70 | Computation of pseudospectra L. N. Trefethen Acta Numerica 8 (1999), 247-295. |
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71 | 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 |
72 | 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. |
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73 | Green's functions for multiply connected domains via conformal mapping M. Embree and L. N. Trefethen SIAM Review 41 (1999), 721-744. |
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74 | Schwarz-Christoffel mapping in the computer era T. A. Driscoll and L. N. Trefethen Proc. Int. Congress Mathematicians 1998, 533-542. |
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75 |
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. |
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76 | Condition numbers of random triangular matrices D. Viswanath and L. N. Trefethen SIAM J. Matrix Anal. Applics. 19 (1998), 564-581. |
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77 | Maxims about numerical mathematics, computers, science, and life L. N. Trefethen SIAM News v. 31, no. 1 (1998), p. 4. |
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78 | The Chebyshev polynomials of a matrix K.-C. Toh and L. N. Trefethen SIAM J. Matrix Anal. Applics. 20 (1998), 400-419. |
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79 | 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. |
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80 | Numerical Linear Algebra L. N. Trefethen and David Bau III xii+361 pages. SIAM, 1997. (SIAM's bestselling book of the past decade.) |
Book |
81 | 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. |
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82 | Low-dimensional models of subcritical transition to turbulence J. S. Baggett and L. N. Trefethen Physics of Fluids 9 (1997), 1043-1053. |
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83 | 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 |
84 | 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. |
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85 |
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. |
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86 | Pseudospectra for the wave operator with an absorbing boundary T. A. Driscoll and L. N. Trefethen J. Comp. Appl. Math. 69 (1996), 125-142. |
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87 | Calculation of pseudospectra by the Arnoldi iteration K.-C. Toh and L. N. Trefethen SIAM J. Sci. Comp. 17 (1996), 1-15. |
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88 | 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. |
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89 | Do the pseudospectra of a matrix determine its behavior? A. Greenbaum and L. N. Trefethen unpublished technical report, 1995. |
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90 | Pseudospectra of the convection-diffusion operator S. C. Reddy and L. N. Trefethen SIAM J. Appl. Math. 54 (1994), 1634-1649. |
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91 | Pseudozeros of polynomials and pseudospectra of companion matrices K.-C. Toh and L. N. Trefethen Numer. Math. 68 (1994), 403-425. |
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92 | GMRES/CR and Arnoldi/Lanczos as matrix approximation problems A. Greenbaum and L. N. Trefethen SIAM J. Sci. Comput. 15 (1994), 359-368. |
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93 | From the Buffon needle problem to the Kreiss Matrix Theorem E. Wegert and L. N. Trefethen Amer. Math. Monthly 101 (1994), 132-139. |
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94 | 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. |
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95 | Hydrodynamic stability without eigenvalues L. N. Trefethen, A. E. Trefethen, S. C. Reddy, and T. A. Driscoll Science 261 (1993), 578-584. |
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96 | Stiffness of ODEs D. J. Higham and L. N. Trefethen BIT 33 (1993), 285-303. |
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97 | 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. |
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98 | Pseudospectra of matrices L. N. Trefethen In D. F. Griffiths and G. A. Watson, eds., Numerical Analysis 1991, Longman, 1992. |
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99 | Eigenvalues and pseudo-eigenvalues of Toeplitz matrices L. Reichel and L. N. Trefethen Lin. Alg. Applics. 162-164 (1992), 153-185. |
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100 | 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. |
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101 | 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. |
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102 | Stability of the method of lines S. C. Reddy and L. N. Trefethen Numer. Math. 62 (1992), 235-267. |
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103 | Two results on polynomial interpolation in equally spaced points L. N. Trefethen and J. A. C. Weideman J. Approx. Theory 65 (1991), 247-260. |
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104 | 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. |
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105 | The CF table E. Hayashi, L. N. Trefethen and M. H. Gutknecht Constr. Approx. 6 (1990), 195-223. |
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106 | A modified Schwarz-Christoffel transformation for elongated regions L. H. Howell and L. N. Trefethen SIAM J. Sci. Stat. Comput. 11 (1990), 928-949. |
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107 | 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 |
108 | Average-case stability of Gaussian elimination L. N. Trefethen and R. S. Schreiber SIAM J. Matrix Anal. Applics. 11 (1990), 335-360. |
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109 | 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.) |
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110 | Schwarz-Christoffel mapping in the 1980's L. N. Trefethen Numerical Analysis Report 89-1, Dept. of Mathematics, MIT, 1989. |
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111 | 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 |
112 | The eigenvalues of second-order spectral differentiation matrices J. A. C. Weideman and L. N. Trefethen SIAM J. Numer. Anal. 25 (1988), 1279-1298. |
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113 | Ill-posedness of absorbing boundary conditions for migration L. H. Howell and L. N. Trefethen Geophysics 53 (1988), 593-603. |
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114 | Fourier analysis of the SOR iteration R. J. LeVeque and L. N. Trefethen IMA J. Numer. Anal. 8 (1988), 273-279. |
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115 |
Wide-angle one-way wave equations L. Halpern and L. N. Trefethen J. Acoust. Soc. Amer. 84 (1988), 1397-1404. |
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116 | Padé, stable Padé, and Chebyshev-Padé approximation L. N. Trefethen and M. H. Gutknecht In J. Mason, ed., Algorithms for Approximation, Clarendon Press, 1987. |
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117 | An instability phenomenon in spectral methods L. N. Trefethen and M. R. Trummer SIAM J. Numer. Anal. 24 (1987), 1008-1023. |
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118 | Ideal jet flow in two dimensions F. Dias, A. R. Elcrat and L. N. Trefethen J. Fluid Mech. 185 (1987), 275-288. |
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119 | Numerical Conformal Mapping, editor L. N. Trefethen 269 pages. Elsevier, 1986. |
Book |
120 | Classical free-streamline flow over a polygonal obstacle A. R. Elcrat and L. N. Trefethen J. Comp. Appl. Math. 14 (1986), 251-265. |
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121 | MATLAB programs for CF approximation L. N. Trefethen In C. K. Chui, et al., eds., Approximation Theory V, Academic Press, 1986. |
Chapter in book |
122 | 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. |
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123 | 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. |
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124 | Dispersion, dissipation, and stability L. N. Trefethen In D. F. Griffiths and G. A. Watson, eds., Numerical Analysis, Longman, 1986. |
Chapter in book |
125 | Three mysteries of Gaussian elimination L. N. Trefethen ACM SIGNUM Newsletter, October 1985. |
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126 | 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. |
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127 | Stability of finite-difference models containing two boundaries or interfaces L. N. Trefethen Math. Comp. Vol. 45 No. 172 (1985), 279-300. |
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128 | 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. |
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129 | 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. |
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130 | On the resolvent condition in the Kreiss Matrix Theorem R. J. LeVeque and L. N. Trefethen BIT 24 (1984), 584-591. |
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131 | The asymptotic accuracy of rational best approximations to ez on a disk L. N. Trefethen J. Approx. Theory 40 (1984), 380-383. |
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132 | 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 |
133 | 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 |
134 | Analysis and design of polygonal resistors by conformal mapping L. N. Trefethen Z. Angew. Math. Phys. 35 (1984), 692-704. |
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135 | 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.) |
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136 | 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. |
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137 | 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) |
138 | 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. |
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139 | 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. |
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140 | The Carathéodory-Fejér method for real rational approximation L. N. Trefethen and M. H. Gutknecht SIAM J. Numer. Anal. 20 (1983), 420-436. |
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141 | Real vs. complex rational Chebyshev approximation on an interval L. N. Trefethen and M. H. Gutknecht Trans. Amer. Math. Soc. 280 (1983), 555-561. |
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142 | Nonuniqueness of best rational Chebyshev approximations on the unit disk M. H. Gutknecht and L. N. Trefethen J. Approx. Theory 39 (1983), 275-288. |
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143 | 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. |
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144 | Chebyshev approximation on the unit disk L. N. Trefethen In Computational Aspects of Complex Analysis, H. Werner, et al., eds., D. Reidel, 1983. |
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145 | Group velocity interpretation of the stability theory of Gustafsson, Kreiss, and Sundström L. N. Trefethen J. Comp. Phys. 49 (1983), 199-217. |
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146 | Group velocity in finite difference schemes L. N. Trefethen SIAM Review 24 (1982), 113-136. |
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147 | Real polynomial Chebyshev approximation by the Carathéodory-Fejér method M. H. Gutknecht and L. N. Trefethen SIAM J. Numer. Anal. 19 (1982), 358-371. |
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148 | Rational Chebyshev approximation on the unit disk L. N. Trefethen Numer. Math. 37 (1981), 297-320. |
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149 | Near-circularity of the error curve in complex Chebyshev approximation L. N. Trefethen J. Approx. Theory 31 (1981), 344-367. |
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150 | 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) |
151 | Numerical computation of the Schwarz-Christoffel transformation L. N. Trefethen SIAM J. Sci. Stat. Comput. 1 (1980), 82-102. |
PDF PDF (Erratum) |