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. (1997). Numerical linear algebra. SIAM.- Trefethen, L. N. (2000). Spectral methods in MATLAB. SIAM.- Driscoll, T. A., & Trefethen, L. N. (2002). Schwarz-christoffel mapping (Vol. 8). :en:Cambridge University Press.- Trefethen, L. N., & Embree, M. (2005). Spectra and pseudospectra: the behavior of nonnormal matrices and operators. :en:Princeton University Press.- Trefethen, L. N. (2011). Trefethen's Index Cards: Forty Years of Notes about People, Words and Mathematics. :en:World Scientific.- Trefethen, L. N. (2013). Approximation theory and approximation p. SIAM.- Trefethen, L. N., Birkisson, A., & Driscoll, T. A. (2017). 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. (2015). Computing numerically with functions instead of numbers. Communications of the ACM, 58(10), 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. (2004). An extension of MATLAB to continuous functions and operators. :en:SIAM Journal on Scientific Computing, 25(5), 1743-1770.- Berrut, J. P., & Trefethen, L. N. (2004). Barycentric Lagrange interpolation. SIAM Review, 46(3), 501-517.- Kassam, A. K., & Trefethen, L. N. (2005). Fourth-order time-stepping for stiff PDEs. :en:SIAM Journal on Scientific Computing, 26(4), 1214-1233.

**2010年代**
 The exponentially convergent trapezoidal rule, LN Trefethen, JAC Weideman - SIAM Review, 2014.- Townsend, A., & Trefethen, L. N. (2015). Continuous analogues of matrix factorizations. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 471(2173).- Trefethen, L. N. (2017). Cubature, approximation, and isotropy in the hypercube. SIAM Review, 59(3), 469-491.- Nakatsukasa, Y., Sète, O., & Trefethen, L. N. (2018). The AAA algorithm for rational approximation. :en:SIAM Journal on Scientific Computing, 40(3), A1494-A1522.

**審査した博士論文**
 Banjai, Lehel. (2003). Computation of conformal maps by fast multipole method accelerated Schwarz-Christoffel transformation (PhD thesis). University of Oxford.- Pachon, Ricardo (2010). Algorithms for polynomial and rational approximation (PhD thesis). University of Oxford.- Birkisson, Asgeir (2013). Numerical solution of nonlinear boundary value problems for ordinary differential equations in the continuous framework (PhD thesis). University of Oxford.- Townsend, Alex (2014). Computing with functions in two dimensions (PhD thesis). University of Oxford.

**関連項目**
 :en:Chebfun (開発に携わったライブラリー)- スタンフォード大学 (ここで博士号を取得した)- SIAM (学会)-2011/2012年に代表を務める

**家族**
 :en:Lloyd M. Trefethen (父)- :en:Florence Newman Trefethen (母)- :en:Anne Trefethen (元妻)

**出典**

**外部リンク**
 id=25178- Lloyd_Trefethen- trefethen- name=Lloyd N. Trefethen- id=7003930041- 9hvCdiQAAAAJ