[转帖]13篇计算数学经典文献6 t$ C! u$ G5 g+ @( q( f发信人: birdf
" m _* c% m0 e- r标 题: 13篇计算数学经典文献' {0 y, v; c9 T4 U8 J3 Y
发信站: 北大未名站
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如果谁有的话, 拿出来共享一下吧5 F/ Z8 S0 z7 f6 \1 C- w: v
- k% w8 K2 K' z. p* k1 ~* K7 |1. James W. Cooley and John W. Tukey, "An algorithm for the machine# c6 l5 J/ R. z% c% [4 ]9 m; R
calculation of complex Fourier series," Mathematics of Computation 19% ^" Z- k* t2 F+ z! ?
(1965), 297-301. {) T5 t, o0 _+ H% X
7 ]) j/ p, D8 z s* q. C9 ~2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen; F! p9 B3 B- X
Differenzengleichungen der mathematischen Physik," Mathematische Annalen! G+ Q: V4 i) A/ ^+ P. i6 {
100 (1928), 32-74. Translated as: "On the partial difference equations
4 k" W; k6 m( e; C P2 Z of mathematical physics," IBM Journal of Resarch and Development 11
$ C% `+ F" E" y+ N6 F- I (1967), 215-234.
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3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"; M! ^- O/ J! D- m% x) ~1 M% j( Q
Journal of the Association of Computing Machinery 5 (1958), 339-342.
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4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"1 w4 |& E8 [' l T5 D" y, I
Proceedings of the National Academy of Sciences 38 (1952), 235-243.
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5. C. de Boor, "On calculating with B-splines," Journal of Approximation
: g7 p! d$ J! W) G3 {3 a! O Theory 6 (1972), 50-62.
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6. R. Courant, "Variational methods for the solution of problems of. `: ? a- Y4 a/ n
equilibrium and vibrations," Bulletin of the American Mathematical
/ ^' \* {3 S' @, H# p- g4 q4 r Society 49 (1943), 1-23.
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7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
5 H$ v% q2 R; o+ x N* P of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.
# Z2 y, E5 x6 p- O( x6 x3 a7 I5 l( H( \0 H, y8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"% W4 \# w; q7 d8 ^, ?7 m2 n
Mathematics of Computation 31 (1977), 333-390.: i/ Q- Y- O: d$ j$ H1 r
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9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for; H3 h# N8 C0 }9 u( D, w
solving linear systems," Journal of Research of the National Bureau of 1 \( x/ L6 d6 H; O/ o, {, U
Standards 49 (1952), 409-436.3 J3 P% ?# m5 J# O/ W& e" ]
# k4 P, Y. r* m# v2 |10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for, z5 f2 b3 G G
minimization," Computer Journal 6 (1963), 163-168.9 X9 u0 A& D1 Y5 D$ T; {
6 W0 f' @9 J D- R' f3 w: X9 H11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability1 r I+ G* D. v
theorems," BIT 18 (1974), 475-489.
0 v" I. c6 \; J& r4 S" q% {1 t! S/ C' l i$ P0 f! q12. N. Karmarkar, "A new polynomial-time algorithm for linear programming," k5 s4 }+ i( y
Combinatorica 4 (1984), 373-395., U0 @' J# t' c# H) e8 B
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13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"! D3 X9 h3 {% y, |) K" r# f1 d8 B
Journal of Computational Physics 73 (1987), 325-348
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