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
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