13篇计算数学经典文献 6 b L+ z2 w& l0 R. X! H. h* T) _6 k0 E7 |
1. James W. Cooley and John W. Tukey, "An algorithm for the machine - e% j7 X/ {% c' kcalculation of complex Fourier series," Mathematics of Computation 19 1 F# R4 R2 Q5 \1 _/ l8 W9 r(1965), 297-301.6 a+ Y* V# w: {# j7 X1 Q4 G
/ E6 Y7 ?7 n& J: q8 @2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen " f0 @6 V; H; d- ~# c* IDifferenzengleichungen der mathematischen Physik," Mathematische Annalen& U& p+ \& K4 T/ @+ s" r9 \9 i
100 (1928), 32-74. Translated as: "On the partial difference equations 8 a1 y$ I2 O, E2 k/ h; w
of mathematical physics," IBM Journal of Resarch and Development 11 x% q: P2 L- d- |/ U
(1967), 215-234.8 [, z0 C& o8 c
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3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix," $ X7 y9 r% X2 q& Y0 G1 M% _7 pJournal of the Association of Computing Machinery 5 (1958), 339-342.8 {, y& ~! ]% J/ }
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4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations," o! D% w2 e" H2 P, {" V n2 s
Proceedings of the National Academy of Sciences 38 (1952), 235-243. * S9 S, F1 r9 G; E$ [+ F! y& u. Z4 y& q+ i/ j; J
5. C. de Boor, "On calculating with B-splines," Journal of Approximation / g% I4 K! R- ^5 T9 p1 LTheory 6 (1972), 50-62.! _" v, B5 h h" a3 l+ }
1 M1 \! \+ |! s! `7 s) w& C* l4 i6. R. Courant, "Variational methods for the solution of problems of * i$ J- H7 ?2 N& Requilibrium and vibrations," Bulletin of the American Mathematical 5 G" o& J( x' k G" x, {9 WSociety 49 (1943), 1-23." x+ y' k) U' Z2 W8 @9 [) @
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7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse 6 {- L/ v4 V2 h6 m [0 rof a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.' A2 X! V% u9 w1 ?: W
9 |/ x. w% Q: s: v- j V9 F8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"2 y/ s* d+ D) t8 Z: L0 D1 \
Mathematics of Computation 31 (1977), 333-390.* d! y! T: h* y8 ?2 ?/ y" N
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9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for " x6 l4 g A6 Csolving linear systems," Journal of Research of the National Bureau of 7 Y+ a! T) H$ ]4 TStandards 49 (1952), 409-436. 6 Y1 } j R4 P! L 9 X" ~" s, _+ X( ~2 Y: D8 o10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for8 m! ?4 Q8 J7 {: y3 z, Q* m
minimization," Computer Journal 6 (1963), 163-168. 5 _% M0 `" m6 o8 {# f- x3 ^9 i; v/ J/ B6 z7 B
11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability% t2 ~7 _( b: p: g, ^
theorems," BIT 18 (1974), 475-489.9 m! f/ p$ |9 A2 {/ n
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12. N. Karmarkar, "A new polynomial-time algorithm for linear programming," : E9 L: |$ B! {5 ~Combinatorica 4 (1984), 373-395. 0 z1 W. s+ a8 f& _& p( u3 _; C R3 Q! s% _1 u. t
13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"8 [( Z+ B9 p- R" j2 b: v: @
Journal of Computational Physics 73 (1987), 325-348