Well-posedness of one-way wave equations and absorbing boundary conditions
 Trefethen, L Halpern, L Mathematics of Computation volume 47 issue 176 421-435 (01 Jan 1986) doi:10.1090/s0025-5718-1986-0856695-2
Instability of difference models for hyperbolic initial boundary value problems
 Trefethen, L Communications on Pure and Applied Mathematics volume 37 issue 3 329-367 (18 May 1984) doi:10.1002/cpa.3160370305
Near-circularity of the error curve in complex Chebyshev approximation
 Trefethen, L Journal of Approximation Theory volume 31 issue 4 344-367 (Apr 1981) doi:10.1016/0021-9045(81)90102-7
Rational Chebyshev approximation on the unit disk
 Trefethen, L Numerische Mathematik volume 37 issue 2 297-320 (Jun 1981) doi:10.1007/bf01398258
The asymptotic accuracy of rational best approximations to ez on a disk
 Trefethen, L Journal of Approximation Theory volume 40 issue 4 380-383 (Apr 1984) doi:10.1016/0021-9045(84)90013-3
Group velocity interpretation of the stability theory of Gustafsson, Kreiss, and Sundström
 Trefethen, L Journal of Computational Physics volume 49 issue 2 199-217 (Feb 1983) doi:10.1016/0021-9991(83)90123-7
Analysis and design of polygonal resistors by conformal mapping
 Trefethen, L Zeitschrift für angewandte Mathematik und Physik volume 35 issue 5 692-704 (Sep 1984) doi:10.1007/bf00952114
Stability of finite-difference models containing two boundaries or interfaces
 Trefethen, L Mathematics of Computation volume 45 issue 172 279-300 (01 Jan 1985) doi:10.1090/s0025-5718-1985-0804924-2
On the resolvent condition in the Kreiss Matrix Theorem
 Leveque, R Trefethen, L BIT Numerical Mathematics volume 24 issue 4 584-591 (Dec 1984) doi:10.1007/bf01934916
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