[转帖]13篇计算数学经典文献& y! Y1 x* L5 H
发信人: birdf
. ?0 ^& q6 O1 ?* n2 m标 题: 13篇计算数学经典文献 ^& [# ?6 B; y% F+ J; O( T
发信站: 北大未名站
# j% k$ n& s% q) z8 C' ^, X2 }( L; H! r4 g! l) k$ V
如果谁有的话, 拿出来共享一下吧
1 u" @0 r% R( ~" v1 \ j3 Z9 Y3 N6 v
1. James W. Cooley and John W. Tukey, "An algorithm for the machine
& [. Y$ P9 _" k$ R. o* a calculation of complex Fourier series," Mathematics of Computation 19
$ z' F q% g) E& x, \! v (1965), 297-301., O& @" j7 B( p9 W. X: A4 J
" g. u' j. ^7 P- U; {$ X2 ]0 e2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
7 O9 V, p# T4 K( j0 \) F5 C Differenzengleichungen der mathematischen Physik," Mathematische Annalen0 U( B( D' {8 G9 z
100 (1928), 32-74. Translated as: "On the partial difference equations 3 _ S- \' @2 e! y
of mathematical physics," IBM Journal of Resarch and Development 11 ' k* b$ D& g: o% N5 a
(1967), 215-234. T) d/ e0 _/ W' W+ ]& [ ?3 S9 |
2 I4 `# Y5 G, `2 i3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
, r Y4 y! T8 ]& @4 X Journal of the Association of Computing Machinery 5 (1958), 339-342.) S# j, S# F: G* Y* ~* l6 }) _
5 o. q3 {' }1 k" X4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"( P7 e' x: i( l8 i( @
Proceedings of the National Academy of Sciences 38 (1952), 235-243.
, ]3 \$ u. t4 U0 s) F1 r. N3 @+ t m: n/ w7 U
5. C. de Boor, "On calculating with B-splines," Journal of Approximation
3 d, D8 @7 H! K9 X, U C0 ` Theory 6 (1972), 50-62.2 G7 G% B3 [6 |! \: }# a: a
" m- i* n" y t
6. R. Courant, "Variational methods for the solution of problems of0 j) P) B+ ~6 J# b# p- |& H H
equilibrium and vibrations," Bulletin of the American Mathematical 7 }2 {! t2 ?% ^0 \) _# n8 |& l, m
Society 49 (1943), 1-23.
; f9 ~8 ~7 f3 l; W5 [5 {% e6 R! B0 N: {, |
7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
* \9 D z+ M2 r; S* ~1 F of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.. x3 O* G& I/ g1 S
: l" X* {4 `0 I7 N' `
8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
! r' F/ A% v p, `# Y Mathematics of Computation 31 (1977), 333-390." @7 u% H! K- ?
8 d. p; i5 B8 Z9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for: c( n( H/ B9 K- N
solving linear systems," Journal of Research of the National Bureau of
9 e3 o. Y$ C* X% r8 l Standards 49 (1952), 409-436.6 f- D! ^7 X( T' R
9 j4 w) l O: q, b: Y0 w8 {! p10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for7 d2 ^5 Q4 b& s- a" z* I
minimization," Computer Journal 6 (1963), 163-168.8 s' P+ A) f& B! z8 z4 W1 {
+ y% E/ Z' W& w! ~$ N11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability# L. s4 t# b6 z9 z% L
theorems," BIT 18 (1974), 475-489.
, Q, n. _, ?1 J7 q) F. q {% {# @ r) X% y H
12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,", w7 _; J/ R( N
Combinatorica 4 (1984), 373-395.
2 }) g) @2 a% P% a6 e8 N8 V3 I- O- @; h& G' d13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"& H2 A) g5 ?4 u- s. V+ r
Journal of Computational Physics 73 (1987), 325-348
IP卡
狗仔卡
发表于 2004-7-5 22:45
转播
淘帖
分享
收藏
支持
反对
微信
提升卡
置顶卡
沉默卡
喧嚣卡
变色卡
抢沙发
显身卡
发表于 2004-12-6 12:48
