ニック・トレフェセン

ニック・トレフェセン  はイギリスの数学者。数値解析 などを専門とする。アメリカ合衆国ボストン生まれ。

1. 著書
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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 . :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.

2. 代表的な論文
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2.1. 単著
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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.

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

2.2.1. 1990年代
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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.

2.2.2. 2000年代
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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.

2.2.3. 2010年代
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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.

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

4. 関連項目
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:en:Chebfun 
スタンフォード大学 
SIAM -2011/2012年に代表を務める

4.1. 家族
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:en:Lloyd M. Trefethen 
:en:Florence Newman Trefethen 
:en:Anne Trefethen 

5. 出典
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6. 外部リンク
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