[转帖]13篇计算数学经典文献. x3 P, Y- O* B
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5 g* F7 C" f- X- R1 R: p9 Z0 J' g, d6 t, ]如果谁有的话, 拿出来共享一下吧! e1 y7 g8 p, Q9 |4 |$ `
5 o# d" b% K) S: B1 C& \1. James W. Cooley and John W. Tukey, "An algorithm for the machine+ `& O8 d1 i+ D6 m& z8 l
calculation of complex Fourier series," Mathematics of Computation 19 h2 F8 v5 u+ _' j
(1965), 297-301.- s! V& o: V+ j7 E
, a" a5 ?5 m, M8 o0 E" ~9 }2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
7 S; k# K! v m( `' a# v Differenzengleichungen der mathematischen Physik," Mathematische Annalen
# q, ]4 q& T1 W6 P% a& V 100 (1928), 32-74. Translated as: "On the partial difference equations " P# {6 ^: l) b/ O' S
of mathematical physics," IBM Journal of Resarch and Development 11
+ f% u9 v2 {! d' I5 Y2 C- k (1967), 215-234.
/ V1 g; J6 U8 j5 l$ w9 W' Z1 E$ O" e5 k7 A) g3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"6 t: c5 E2 S' B
Journal of the Association of Computing Machinery 5 (1958), 339-342.0 a$ c6 q6 Z1 z
" x/ ~7 `$ k. o# k/ \# a( J4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"4 ]3 P9 p) p% [1 M/ l" I
Proceedings of the National Academy of Sciences 38 (1952), 235-243.
$ \9 o% K: T4 `$ V0 q+ M$ \+ x8 i* |5 ]) }5. C. de Boor, "On calculating with B-splines," Journal of Approximation w1 ^* e+ U J) P
Theory 6 (1972), 50-62.
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6. R. Courant, "Variational methods for the solution of problems of8 `" [' C" G& X9 J
equilibrium and vibrations," Bulletin of the American Mathematical * P7 U) P3 s, ?4 K7 s
Society 49 (1943), 1-23.
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7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse' `: ?3 h0 K# o e
of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.6 K8 G7 K" G4 I5 k
* y& z( @) ~$ O* M8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"3 B6 b! R! h5 g2 G2 c
Mathematics of Computation 31 (1977), 333-390.
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9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
0 u2 Y* j& d2 e2 O solving linear systems," Journal of Research of the National Bureau of 1 r/ R, h& c+ Q; `) o# i
Standards 49 (1952), 409-436." E+ I2 ?) S1 A9 p
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10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
* M0 q7 `* D+ z- D3 F/ m minimization," Computer Journal 6 (1963), 163-168.( f0 R# b# p) \/ t2 o7 U4 m' r% N
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11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
$ }% ^! C) A v+ D# }9 s theorems," BIT 18 (1974), 475-489.) h3 d9 E, z K4 ]8 p0 ~
" t d: w2 y) R2 F; ]12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"" a' i: h C3 u2 A, m
Combinatorica 4 (1984), 373-395. g9 f, e, d/ }' G" M
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13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
) s& b/ `8 h7 _0 S Journal of Computational Physics 73 (1987), 325-348
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花了30块钱买这个文章，呵呵
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8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,") A9 L0 z* k( H& t7 a
Mathematics of Computation 31 (1977), 333-390.! s d! B3 |* o/ `% y5 e' S1 K
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发表于 2004-12-6 12:48
