An Instability Phenomenon in Spectral Methods
 Trefethen, L Trummer, M SIAM Journal on Numerical Analysis volume 24 issue 5 1008-1023 (14 Oct 1987) doi:10.1137/0724066
The Eigenvalues of Second-Order Spectral Differentiation Matrices
 Weideman, J Trefethen, L SIAM Journal on Numerical Analysis volume 25 issue 6 1279-1298 (14 Dec 1988) doi:10.1137/0725072
Numerical Computation of the Schwarz–Christoffel Transformation
 Trefethen, L SIAM Journal on Scientific Computing volume 1 issue 1 82-102 (Mar 1980) doi:10.1137/0901004
Erratum: Numerical Computation of the Schwarz–Christoffel Transformation
 Trefethen, L SIAM Journal on Scientific Computing volume 1 issue 2 302-302 (Jun 1980) doi:10.1137/0901020
A Modified Schwarz–Christoffel Transformation for Elongated Regions
 Howell, L Trefethen, L SIAM Journal on Scientific Computing volume 11 issue 5 928-949 (Sep 1990) doi:10.1137/0911054
Group Velocity in Finite Difference Schemes
 Trefethen, L SIAM Review volume 24 issue 2 113-136 (10 Apr 1982) doi:10.1137/1024038
GMRES/CR and Arnoldi/Lanczos as Matrix Approximation Problems
 Greenbaum, A Trefethen, L SIAM Journal on Scientific Computing volume 15 issue 2 359-368 (13 Mar 1994) doi:10.1137/0915025
Calculation of Pseudospectra by the Arnoldi Iteration
 Toh, K Trefethen, L SIAM Journal on Scientific Computing volume 17 issue 1 1-15 (Jan 1996) doi:10.1137/0917002
Fourier Analysis of Numerical Approximations of Hyperbolic Equations (R. Vichnevetsky and J. B. Bowles)
 Trefethen, L SIAM Review volume 26 issue 3 439-441 (10 Jul 1984) doi:10.1137/1026089
Pseudospectra of the Convection-Diffusion Operator
 Reddy, S Trefethen, L SIAM Journal on Applied Mathematics volume 54 issue 6 1634-1649 (05 Dec 1994) doi:10.1137/s0036139993246982
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