[转帖]13篇计算数学经典文献8 h: ~! y! ]3 S! A1 x3 A' L
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$ O& u# K' {. H" q1 o' o9 u标 题: 13篇计算数学经典文献
8 N3 U) o4 p( s9 Q3 z. E8 {发信站: 北大未名站 & A, V0 d: @2 _) [/ L4 N" J
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如果谁有的话, 拿出来共享一下吧
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1. James W. Cooley and John W. Tukey, "An algorithm for the machine0 M: h h* S! R% g6 K2 z
calculation of complex Fourier series," Mathematics of Computation 19. m6 Z6 M0 y: E/ m$ D4 x
(1965), 297-301.
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2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen/ Q! K3 P) G0 S" R4 d: J
Differenzengleichungen der mathematischen Physik," Mathematische Annalen
7 x( Z9 I, _( {$ A3 }4 \ 100 (1928), 32-74. Translated as: "On the partial difference equations
3 s H6 Q8 U$ I8 {- j2 d of mathematical physics," IBM Journal of Resarch and Development 11
+ D* g1 M/ _# Z. L (1967), 215-234.
8 P. x, A' P/ v* Y2 u, g9 _" c( A3 s7 q3 }: O, d8 L3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"+ X# Y3 L, O l6 I
Journal of the Association of Computing Machinery 5 (1958), 339-342.
; U, n+ A- a- o: l& @3 Z7 i' }1 x M) [4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"" R7 z5 m7 k2 }! `1 L; e5 }5 C
Proceedings of the National Academy of Sciences 38 (1952), 235-243.+ r3 I* Q& Q$ V' x
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5. C. de Boor, "On calculating with B-splines," Journal of Approximation D" r4 l4 c! S% a$ V2 M
Theory 6 (1972), 50-62.9 T* |5 y$ }5 ^8 p2 |% \8 p
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6. R. Courant, "Variational methods for the solution of problems of/ r! W4 V$ W7 p
equilibrium and vibrations," Bulletin of the American Mathematical P/ s# q- ~: m9 b
Society 49 (1943), 1-23.
3 j6 r* G; r. v+ O7 X6 e- h+ q6 Q/ k, ~7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
! y0 E5 [. T& S" k of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.( E) q1 j9 W/ o5 N# z& g
. A. L: I! j4 [1 d$ n+ n
8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
+ R5 _+ d9 t4 u. P. m& O Mathematics of Computation 31 (1977), 333-390.
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9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for# @6 [8 u) K3 I. k5 b! h- D- x
solving linear systems," Journal of Research of the National Bureau of
2 o. ?; ? T: x/ B0 | Standards 49 (1952), 409-436.3 A! |7 E9 X- N
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10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
( o1 D, J3 i' @) d5 X4 x# Z) l minimization," Computer Journal 6 (1963), 163-168.+ U w" ?, B. g; [6 j
8 s `- p6 u/ f! N# x1 d; s6 d11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability* w; B5 O9 g: _! Q
theorems," BIT 18 (1974), 475-489.4 ]5 I# A9 x. |" i! a
, P2 x! i5 f; G; m. J! V
12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"8 x% H4 ]$ K* i9 q
Combinatorica 4 (1984), 373-395.1 D+ o; h+ M$ E4 a- k! ^; m! e
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13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
$ M% B) ~; ?0 X, v Journal of Computational Physics 73 (1987), 325-348
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发表于 2004-7-5 22:45
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发表于 2004-12-6 12:48
