L. N. Trefethen - some older papers

  • Wave packet pseudomodes of twisted Toeplitz matrices (Comm. Pure Appl. Math., 2004)
  • Computations of eigenvalue avoidance in planar domains (Proc. Appl. Math. Mech. 2004)
  • A multipole method for Schwarz-Christoffel mapping of polygons with thousands of sides (SIAM J. Sci. Comp., 2003)
  • Linearized pipe flow to Reynolds number 10,000,000 (J. Comp. Phys., 2003)
  • Eigenvalues and pseudospectra of rectangular matrices (IMA J. Numer. Anal., 2002)
  • Piecewise continuous Toeplitz matrices and operators: slow approach to infinity (SIAM J. Matrix Anal. Applics., 2002)
  • Numerical solution of the omitted area problem of univalent function theory (Comp. Meth. Funct. Th., 2001)
  • Large-scale computation of pseudospectra using ARPACK and eigs (SIAM J. Sci. Comp., 2001)
  • Generalizing eigenvalue theorems to pseudospectra theorems (SIAM J. Sci. Comp., 2001)
  • Spectra, pseudospectra, and localization for random bidiagonal matrices (Commun. Pure Appl. Maths., 2001)
  • Computing Lyapunov constants for random recurrences with smooth coefficients (J. Comp. Appl. Math., 2001)
  • How many shuffles to randomize a deck of cards? (Proc. Roy. Soc. A, 2000) (pdf)
  • Computation of pseudospectra (Acta Numerica, 1999)
  • Green's functions for multiply connected domains via conformal mapping (SIAM Review, 1999)
  • Growth and decay of random Fibonacci sequences (Proc. Roy. Soc. Lond. A, 1999)

    V. E. Howle and L. N. Trefethen, "Eigenvalues and musical instruments," J. Comp. Appl. Math. 135 (2001), 23-40.

    A. E. Trefethen, L. N. Trefethen and P. J. Schmid, "Spectra and pseudospectra for pipe Poiseuille flow," Comp. Meth. Appl. Mech. Engr. 1926 (1999), 413-420.

    T. A. Driscoll and L. N. Trefethen, "Schwarz-Christoffel mapping in the computer era," Proc. Intl. Cong. Math., 1998.

    D. Viswanath and L. N. Trefethen "Condition numbers of random triangular matrices," SIAM J. Matrix Anal. Applics. 19 (1998), 564-581.

    T. A. Driscoll, K.-C. Toh and L. N. Trefethen, "From potential theory to matrix iterations in six steps," SIAM Review 40 (1998), 547-578.

    L. N. Trefethen, "Pseudospectra of linear operators," SIAM Review 39 (1997), 383-406.

    G. J. Jonsson and L. N. Trefethen, "A numerical analyst looks at the 'cutoff phenomenon' in card shuffling and other Markov chains," Dundee proceedings, 1997. (pdf)

    K.-C. Toh and L. N. Trefethen, "Calculation of pseudospectra by the Arnoldi iteration," SIAM J. Sci. Comput. 17 (1996), 1-15.

    J. S. Baggett, T. A. Driscoll, and L. N. Trefethen, "A mostly linear model of transition to turbulence," Physics of Fluids 7 (1995), 833-838.

    A. Greenbaum and L. N. Trefethen, "Do the pseudospectra of a matrix determine its behavior?," unpublished.

    S. C. Reddy and L. N. Trefethen, "Pseudospectra of the convection-diffusion operator," SIAM J. Appl. Math. 54 (1994), 1634-1649.

    A. Greenbaum and L. N. Trefethen, "GMRES/CR and Arnoldi/Lanczos as matrix approximation problems," SIAM J. Sci. Comput. 15 (1994), 359-368.

    E. Wegert and L. N. Trefethen, "From the Buffon needle problem to the Kreiss matrix theorem," Amer. Math. Monthly 101 (1994), 132-139.

    D. J. Higham and L. N. Trefethen, "Stiffness of ODEs," BIT 33 (1993), 285-303.

    L. N. Trefethen and R. S. Schreiber, "Average-case stability of Gaussian elimination," SIAM J. Matrix Anal. Appl. 11 (1990), 335-360.

    Most of my papers before 1993 are not available in electronic form, though some can be found at JSTOR or at other places on the Web.

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