[转帖]13篇计算数学经典文献' v) j' E. J, [0 t( D发信人: birdf 2 M4 h4 m( h! k$ V( s( e
标 题: 13篇计算数学经典文献
& N' Z" v- @# @5 k8 O& ^! {. `发信站: 北大未名站 & l5 ^& d! Y) q# E, ]/ H+ `$ H
) B% M& C7 z6 W: L0 }0 w; [如果谁有的话, 拿出来共享一下吧
2 x$ I6 J1 W0 C: @7 Q' b/ H. F1. James W. Cooley and John W. Tukey, "An algorithm for the machine G* j/ _# e! Q. q$ M
calculation of complex Fourier series," Mathematics of Computation 19 C/ n9 [, W$ w# X$ W7 L0 m% ]
(1965), 297-301.- ~; K6 P: h* R& @% U+ L7 x. ~
7 q& M1 }% q% E; K5 ~8 Z) I% ^9 o' u2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen8 U" x3 r8 L3 \: q2 I& l
Differenzengleichungen der mathematischen Physik," Mathematische Annalen
6 {! ]. i# K. o$ L7 \: n# W 100 (1928), 32-74. Translated as: "On the partial difference equations
. V5 `& P/ }( C* |! C \' s" Y8 o of mathematical physics," IBM Journal of Resarch and Development 11
% K$ t) [$ b# B* ~ (1967), 215-234.4 g5 O# m2 V4 A; c' w
" K- U$ J4 `) l. N3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"! y4 X5 D) i6 B e$ O: w- i
Journal of the Association of Computing Machinery 5 (1958), 339-342." h# E4 N! h. z$ J* U* X1 ]9 O' H
$ m! G/ s3 E, Q4 h; }4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"3 J# `6 y! L6 w6 L* i8 h$ K3 B
Proceedings of the National Academy of Sciences 38 (1952), 235-243.7 J: D( r8 @8 R9 ], @ T
3 A+ Y/ E. o5 I8 z( `, `0 b
5. C. de Boor, "On calculating with B-splines," Journal of Approximation5 n+ n+ h* \- I! J4 g+ b
Theory 6 (1972), 50-62.
& R6 k+ f, W) D$ C0 r: K' C) o( f6 e0 P1 x6 Y2 f2 F: L( Y/ l6. R. Courant, "Variational methods for the solution of problems of
7 `# \( a( v1 } C. e equilibrium and vibrations," Bulletin of the American Mathematical
' V6 L# d2 T- T/ P4 c Society 49 (1943), 1-23.
0 q/ ]4 p7 Q* M w; \ C' O, a9 O w, [4 Q; M7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse* [) T. c! s$ o w! [' X
of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224., L# r {9 s- G- z" U: ?
; F( B" {4 D4 B4 T% M( c4 M& U
8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
+ H+ c' o9 K. U7 K Mathematics of Computation 31 (1977), 333-390.# i4 Z8 ?6 `9 p J) J& y
/ ^- r5 D4 Z- V5 y, r9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
0 `* L6 P2 u! e3 g8 \" e) U solving linear systems," Journal of Research of the National Bureau of 8 v" ^5 U7 q; Q" n% q
Standards 49 (1952), 409-436.
8 }, ^9 G/ D/ B" l9 |4 c `0 M/ ~+ r- a! A! b2 t* \5 z/ a, m
10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for: r+ t1 R7 ]7 a2 @3 ^ E
minimization," Computer Journal 6 (1963), 163-168.
5 z% [8 C& X# T( D h# m% z# }5 K8 P V( u- N0 B11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability( Q, x4 Y, C3 c6 z: t
theorems," BIT 18 (1974), 475-489.) u1 S0 Z) C0 g9 q9 K! T. D+ i) o) ?
9 \# A& a3 q8 x# Y12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
1 S7 q3 t; V. J. y z7 k4 e$ C Combinatorica 4 (1984), 373-395.* ?, d. e. l% K
4 [0 X& O% o4 |5 a @13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"# {! d: d, z1 e
Journal of Computational Physics 73 (1987), 325-348
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