ニック・トレフェセン

ロイド・ニコラス・"ニック"・トレフェセン (Lloyd Nicholas Trefethen,, 1955年8月30日 -) はイギリスの数学者。数値解析 (特に数値線形代数・常微分方程式の数値解法・偏微分方程式の数値解法)などを専門とする。アメリカ合衆国ボストン生まれ。

著書
 Trefethen, L. N., & Bau III, D. . Numerical linear algebra. SIAM.
 Trefethen, L. N. . Spectral methods in MATLAB. SIAM.
 Driscoll, T. A., & Trefethen, L. N. . Schwarz-christoffel mapping (Vol. 8). :en:Cambridge University Press.
 Trefethen, L. N., & Embree, M. . Spectra and pseudospectra: the behavior of nonnormal matrices and operators. :en:Princeton University Press.
 Trefethen, L. N. . Trefethen's Index Cards: Forty Years of Notes about People, Words and Mathematics. :en:World Scientific.
 Trefethen, L. N. . Approximation theory and approximation p. SIAM.
 Trefethen, L. N., Birkisson, A., & Driscoll, T. A. . Exploring ODEs. SIAM.

代表的な論文

単著
 Numerical computation of the Schwarz–Christoffel transformation, LN Trefethen - SIAM Journal on Scientific and Statistical Computing, 1980.
 Group velocity in finite difference schemes, LN Trefethen - SIAM Review, 1982.
 Computation of pseudospectra, LN Trefethen - :en:Acta Numerica, 1999.
 Is Gauss quadrature better than Clenshaw–Curtis? LN Trefethen - SIAM Review, 2008.
 Trefethen, L. N. . Computing numerically with functions instead of numbers. Communications of the ACM, 58, 91-97.

共著
 Well-posedness of one-way wave equations and absorbing boundary conditions, LN Trefethen, L Halpern - :en:Mathematics of Computation, 1986.

1990年代
 How fast are nonsymmetric matrix iterations? NM Nachtigal, SC Reddy, LN Trefethen - :en:SIAM Journal on Matrix Analysis and Applications, 1992.
 Hydrodynamic stability without eigenvalues, LN Trefethen, AE Trefethen, SC Reddy, TA Driscoll - Science, 1993.
 Pseudospectra of linear operators, LN Trefethen - SIAM review, 1997.

2000年代
 Battles, Z., & Trefethen, L. N. . An extension of MATLAB to continuous functions and operators. :en:SIAM Journal on Scientific Computing, 25, 1743-1770.
 Berrut, J. P., & Trefethen, L. N. . Barycentric Lagrange interpolation. SIAM Review, 46, 501-517.
 Kassam, A. K., & Trefethen, L. N. . Fourth-order time-stepping for stiff PDEs. :en:SIAM Journal on Scientific Computing, 26, 1214-1233.

2010年代
 The exponentially convergent trapezoidal rule, LN Trefethen, JAC Weideman - SIAM Review, 2014.
 Townsend, A., & Trefethen, L. N. . Continuous analogues of matrix factorizations. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 471.
 Trefethen, L. N. . Cubature, approximation, and isotropy in the hypercube. SIAM Review, 59, 469-491.
 Nakatsukasa, Y., Sète, O., & Trefethen, L. N. . The AAA algorithm for rational approximation. :en:SIAM Journal on Scientific Computing, 40, A1494-A1522.

審査した博士論文
 Banjai, Lehel. . Computation of conformal maps by fast multipole method accelerated Schwarz-Christoffel transformation (PhD thesis). University of Oxford.
 Pachon, Ricardo . Algorithms for polynomial and rational approximation (PhD thesis). University of Oxford.
 Birkisson, Asgeir . Numerical solution of nonlinear boundary value problems for ordinary differential equations in the continuous framework (PhD thesis). University of Oxford.
 Townsend, Alex . Computing with functions in two dimensions (PhD thesis). University of Oxford.