[转帖]13篇计算数学经典文献) l4 }$ g1 Y: T# G" A
发信人: birdf ) E8 W" G. i% r
标 题: 13篇计算数学经典文献, Z1 ~; m' C5 ]* |" C
发信站: 北大未名站
& ^$ z- E/ r( V0 M* ~/ E* |/ ~1 n3 N$ h) X8 R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 machine! ?! ?* a8 ?4 @' X" a$ G
calculation of complex Fourier series," Mathematics of Computation 19+ e9 Y6 l3 X; y3 x% D7 e% ?( ^
(1965), 297-301.
/ {/ n6 B, d* X* E# Y& ^ y- l% {1 O, N& y! l2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
: V2 R) H- v) A" }, R$ E Differenzengleichungen der mathematischen Physik," Mathematische Annalen
+ V u' l* b# p6 B( }0 M* l! f+ p* t 100 (1928), 32-74. Translated as: "On the partial difference equations
1 V3 A5 K" X* J% _ of mathematical physics," IBM Journal of Resarch and Development 11
+ `3 v3 z2 [3 }9 W% X; ~- u+ t2 f (1967), 215-234.$ l& z' F/ ~" k; R1 _( i
+ o$ b% R# i# B% O( s$ y3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"9 N8 X+ n# f& V# I# k% \3 S
Journal of the Association of Computing Machinery 5 (1958), 339-342. v. O; l. K6 G8 [+ e0 H
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4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"2 d$ C. z' b$ Y# A+ H+ K
Proceedings of the National Academy of Sciences 38 (1952), 235-243.# ]( y, @" d) r
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5. C. de Boor, "On calculating with B-splines," Journal of Approximation
0 E% O5 K9 \1 s Theory 6 (1972), 50-62.) C( E) G* Z& {5 M2 B' U% T
; p# X% C) J/ B u0 X6. R. Courant, "Variational methods for the solution of problems of0 k& N2 f6 J& l& f9 O8 |! C; l
equilibrium and vibrations," Bulletin of the American Mathematical
* O$ ]6 H: D/ T; D. I8 j( @ Society 49 (1943), 1-23.4 W! k+ M' a5 o. M5 ^! ?0 P
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7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse U: G: T6 V( u9 C" ^3 u9 s
of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.
! B% t4 ^& F) A2 f; x6 l, o7 T: G3 t& N1 |: }6 T8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
& X* o: M! R+ n Mathematics of Computation 31 (1977), 333-390.
. G7 \. [# U. [% W0 a) M5 n* O. D& x7 n9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for1 I8 N5 v9 O0 U! q1 `5 I' w
solving linear systems," Journal of Research of the National Bureau of % Y5 d+ t+ o \
Standards 49 (1952), 409-436.
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10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for& T. s1 N6 Y4 ~, H$ ~- n# ^
minimization," Computer Journal 6 (1963), 163-168.
4 f( U9 x4 t8 C' c3 G! F) U2 ^5 j3 _2 b5 l/ d6 {6 p1 |11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability- k6 Y0 V% I, @2 @. G E
theorems," BIT 18 (1974), 475-489.5 ~- L/ U" Q2 q) Z/ \* C; ^5 U! Y6 q
% k+ X) }. Y/ N- _& r
12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
( t0 z& j+ s+ \& e Combinatorica 4 (1984), 373-395.
: _, n9 X" _& d- o; g" P; D; `! L0 M$ X$ n13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"' h. g1 i: Z8 o# a# j \* a
Journal of Computational Physics 73 (1987), 325-348