ニック・トレフェセン
ニック・トレフェセン (L. N. 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[1])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)[2][3]
- スタンフォード大学 (ここで博士号を取得した[4])
- 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
- ^ Trefethen, L. N. (1996). Finite difference and spectral methods for ordinary and partial differential equations.
- ^ Driscoll, T. A., Hale, N., & Trefethen, L. N. (2014). Chebfun guide.
- ^ Platte, R. B., & Trefethen, L. N. (2010). Chebfun: a new kind of numerical computing. In Progress in industrial mathematics at ECMI 2008 (pp. 69-87). Springer, Berlin, Heidelberg.
- ^ "Wave Propagation and Stability for Finite Difference Schemes" supervised by Joseph E. Oliger at Stanford University.
外部リンク
- ニック・トレフェセン - Mathematics Genealogy Project
- ニック・トレフェセンの出版物 - ResearchGate
- Trefethen - GitHub
- Lloyd N. Trefethen - DBLP Bibliography Server
- ニック・トレフェセンの出版物 - エルゼビアが提供するScopus文献データベースによる索引 (
要購読契約)
- ニック・トレフェセンの出版物 - Google Scholar
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