[转帖]13篇计算数学经典文献) [) K( h8 T& S- k: C) B发信人: birdf * I E3 ~% A4 ^7 A
标 题: 13篇计算数学经典文献8 E& m% C3 k# B4 O$ c
发信站: 北大未名站 + B+ ?6 j- h, L' o2 s
/ N: P( g' `' D8 k6 j) _
如果谁有的话, 拿出来共享一下吧
/ g, A* n, h- }6 l1 v$ \# F1 i# w9 M( i1. James W. Cooley and John W. Tukey, "An algorithm for the machine
. M% r0 Z7 N9 N. \ calculation of complex Fourier series," Mathematics of Computation 19% w9 h: m# b' U! N) M& G
(1965), 297-301./ s3 i7 J0 J1 |8 ]; H
& `; I ?* x4 x% M- v, R( V9 e
2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen5 q8 F7 M+ v8 M! d& P/ k' X1 j
Differenzengleichungen der mathematischen Physik," Mathematische Annalen. ]. A9 V, W% X9 H7 K% n! C! V
100 (1928), 32-74. Translated as: "On the partial difference equations 0 M& u9 o, e7 }* e, {% L+ y, ~. c! U
of mathematical physics," IBM Journal of Resarch and Development 11
; k) v8 N' }4 Q (1967), 215-234.! J F# Y" S, S3 B) w2 L
) T4 q6 V7 l0 i, D/ r3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
9 f3 c; V9 n, ~3 Y+ [9 p4 g9 p9 \ Journal of the Association of Computing Machinery 5 (1958), 339-342.. o9 P/ N+ s2 s G9 Y
4 ~' P" i* j. N) `/ k3 v
4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
6 j7 Y% P: `9 Z- Q/ `; F Proceedings of the National Academy of Sciences 38 (1952), 235-243.
# S4 j9 r7 M7 j- Q* C+ i2 Q$ U! P0 A$ D/ c/ a+ ^4 M) Z8 B5. C. de Boor, "On calculating with B-splines," Journal of Approximation
; @! Y0 P: C! k/ V/ { Theory 6 (1972), 50-62.$ [; A$ _9 Y7 l( r
6 E1 G9 K5 K- q( `7 N3 x
6. R. Courant, "Variational methods for the solution of problems of
+ w6 d7 z/ |: G& G! @ equilibrium and vibrations," Bulletin of the American Mathematical 2 y0 H6 F" j7 {+ \# l
Society 49 (1943), 1-23.
+ K7 q9 ]; x- a' _' S% T& m% `' [3 C. I2 _" f7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
& u( A& v, x& w4 a/ f6 h+ p of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224., G/ Q* x9 d" v7 f& U4 `" D
" V$ i8 t# v ]: T0 M9 e2 Z8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
9 u$ O0 d$ |# D: u, z$ M3 h% v Mathematics of Computation 31 (1977), 333-390.2 N6 p- v4 }% ~$ T3 [ F
, v) q, s r8 _- B; j. _% M2 l1 `" Z9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
x% y3 s3 |4 u/ k) O. r2 O solving linear systems," Journal of Research of the National Bureau of " L2 a8 g% z" p: [' |
Standards 49 (1952), 409-436.
! n; e5 y: i4 m& P+ c9 ~) J4 U) @7 V: e+ S3 \% U10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
) m3 a# y2 v! [# D. L& O* B minimization," Computer Journal 6 (1963), 163-168.
/ E2 Y' ^0 E" k# l! |1 P% w2 `/ E. ^11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
* f2 t# I# x- q" J3 y4 x+ d theorems," BIT 18 (1974), 475-489.
0 c2 E% o/ l1 T' C2 F0 I x) B# V5 R! L2 z7 T2 V% w' Z( ~12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"! |/ T; i2 F/ P, L% N: G
Combinatorica 4 (1984), 373-395.6 Z5 T+ D! S2 W3 o0 @' {
3 Y# u0 k3 v7 W" P4 F8 u; I
13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"* `* t# R3 D+ d9 i: O) I! G8 L
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
