[转帖]13篇计算数学经典文献8 k6 t- D8 R: E0 l: ?0 l' ^3 X
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标 题: 13篇计算数学经典文献
. {* N; }) g( M, M( H发信站: 北大未名站 - c/ G' ^7 V* u; E0 \! [
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如果谁有的话, 拿出来共享一下吧( ^; p J8 H- ^6 s) _& [
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1. James W. Cooley and John W. Tukey, "An algorithm for the machine
, ^. r. X% G) e" L calculation of complex Fourier series," Mathematics of Computation 194 P* M5 b7 }5 c1 Z) ~+ g
(1965), 297-301.
) F q3 [3 d3 ]4 S5 x4 j) V- Y) I" k' G: W& m6 p1 p% }+ f2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen# X9 [5 s0 U# y* @0 X
Differenzengleichungen der mathematischen Physik," Mathematische Annalen
7 Y2 H5 ?6 Q( n' u. w& Y3 ] 100 (1928), 32-74. Translated as: "On the partial difference equations 5 d/ _/ ?1 R( Y7 Q2 s1 @; t
of mathematical physics," IBM Journal of Resarch and Development 11
- X$ E9 H2 ~) s) x2 C# P% Z (1967), 215-234.& S1 r7 U* T2 D# N3 a6 P
2 c* E3 o% v/ R$ R" U1 U' @1 e( D3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
8 Y) @! S4 _ y2 q7 `: i Journal of the Association of Computing Machinery 5 (1958), 339-342.: i* K- `) F& B# \/ @ J( M
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4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
% j/ R6 R* c( j& i! @5 L% L Proceedings of the National Academy of Sciences 38 (1952), 235-243.
9 ?2 b* ]' V9 W7 X1 V h- _. [* }7 i; X# y) I- }! D9 l5. C. de Boor, "On calculating with B-splines," Journal of Approximation
3 J( y( Q H" U* {8 ?( I0 B6 D Theory 6 (1972), 50-62.
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6. R. Courant, "Variational methods for the solution of problems of0 y# P2 O3 Z. c
equilibrium and vibrations," Bulletin of the American Mathematical & ^# [7 U$ u; U' a6 ~! O
Society 49 (1943), 1-23.
6 \* D* S2 ~1 A, U( l4 Q9 Y$ v5 [6 [7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse/ |# J5 ?4 j' I8 ^5 F- k! K
of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.
& m3 x7 z, n& K2 {( W( w- {$ G5 S, s% m7 B3 d3 h: P1 z' `8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
1 H {8 x) r( z; ?. ?! D Mathematics of Computation 31 (1977), 333-390.
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9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
$ i9 b. u6 i9 g$ p6 x' s solving linear systems," Journal of Research of the National Bureau of & L7 L! x8 w2 U
Standards 49 (1952), 409-436.
* r# p7 B0 b: W& L @8 ^/ U V% S' g* b8 L. Q4 Z1 k( ^10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
) s( ~: D Y% E% [( R# ?! [ minimization," Computer Journal 6 (1963), 163-168.* L& y6 r1 h! {
: R+ p9 u0 s" V. @$ C; g11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
' C- ~( i5 ^* E$ \4 | theorems," BIT 18 (1974), 475-489.. P9 |, D( s4 Z5 U0 J- P
9 R9 w3 \- S2 `4 P' U( I. o12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
9 }* g- ^8 r& B/ f3 U Combinatorica 4 (1984), 373-395.7 z) X, }: x7 X& m+ e5 O* F4 @- x
$ E e1 W: x3 P4 q4 k13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"7 Z0 |# p- ^# J( H* e
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
