[转帖]13篇计算数学经典文献; f r" {+ n8 d. s9 R/ a发信人: birdf
, Q! ~7 a6 a. d, D" U8 T4 K标 题: 13篇计算数学经典文献
, v) R0 m, m! J: |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3 e0 ?% h3 B2 o& {! A- k
7 k) a7 D' S% Q: X* K" {1. James W. Cooley and John W. Tukey, "An algorithm for the machine- m1 n' X9 g6 x0 ?' Z; t$ [. M5 r
calculation of complex Fourier series," Mathematics of Computation 197 p' K# _6 q4 s! k9 J
(1965), 297-301.9 m* u0 v- D E9 l
- h' c# X- C% H* N" n2 X f% \+ k' w2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen$ G }* V( G; Q5 D
Differenzengleichungen der mathematischen Physik," Mathematische Annalen/ Y1 b, ]/ X4 [/ a
100 (1928), 32-74. Translated as: "On the partial difference equations " p$ Y: o* l; X; U
of mathematical physics," IBM Journal of Resarch and Development 11 + T* _$ R3 ]# ~6 M0 B& D
(1967), 215-234.+ f! j$ B$ j& H! g% M
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3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
5 u' G3 U* o0 b2 |1 u1 J Journal of the Association of Computing Machinery 5 (1958), 339-342.
+ J* p" O, V. C& v. C7 Z+ G- W) H t/ ~. j( C9 \% A' Y
4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
! W" V& N; L1 R9 w2 }9 i' ] Proceedings of the National Academy of Sciences 38 (1952), 235-243.
( ~: x3 {# h. K& x- w4 V. W. b; d) l, ~) k8 {
5. C. de Boor, "On calculating with B-splines," Journal of Approximation
p* K! b; L- J( h- j Theory 6 (1972), 50-62.0 T" | q) |# ~0 K2 y1 O. D& }+ J
1 X: E) G$ d G0 ]
6. R. Courant, "Variational methods for the solution of problems of
8 J9 D. x. _2 X3 q4 Y6 k2 [) F0 C equilibrium and vibrations," Bulletin of the American Mathematical
+ f- K; j( U; C; X$ A3 u/ d0 h9 O Society 49 (1943), 1-23.' q3 d' t( Z2 g; j3 G) x/ ?, ~
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7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
" ~) R/ b4 K( X) r. n of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.$ @ X: t: P, u# o* r8 s) J. K
! g7 D- m. w7 m$ I7 n S' [8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"! W. J6 e* F/ r" s0 }/ @* B
Mathematics of Computation 31 (1977), 333-390. R; S; @" z1 G3 Y% P
7 z) v( w1 p% T' \- X2 ~2 H ]( E1 @# E, _9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for/ P o+ d' W6 i; n2 C# a3 I6 E" g
solving linear systems," Journal of Research of the National Bureau of
0 l# }) ]' d! \ O Standards 49 (1952), 409-436.2 h" {3 @* }/ Z7 i. y+ ~6 v
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10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
, { U" |: l9 }4 p. v: ` minimization," Computer Journal 6 (1963), 163-168.
% ]- @" W: T9 \: [1 S, C% J- u; r8 H* C7 _$ s0 u% t( f& [11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
( \( Q3 g* m( _" i- h theorems," BIT 18 (1974), 475-489.) H/ N L) O# x" Y" k% ]) t
" z+ d% K7 T6 ]& J12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
. x4 a' s. ~3 N1 [ Combinatorica 4 (1984), 373-395.: F9 I8 P# ~3 y
9 L, J/ t+ `% i13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"& p& Z5 y0 B! I$ I" H5 F
Journal of Computational Physics 73 (1987), 325-348
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