[转帖]13篇计算数学经典文献% `& {# s, C: _发信人: birdf 5 { s" L* v J6 m: ^. p
标 题: 13篇计算数学经典文献
, {0 U7 `: N- T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* b- M$ I- W5 I' i. a( _
& x4 w1 Y4 |* A. a1. James W. Cooley and John W. Tukey, "An algorithm for the machine9 Q( H! H2 t$ \' V
calculation of complex Fourier series," Mathematics of Computation 19- B3 w- D$ m5 K8 b5 Y" \
(1965), 297-301.
7 a# A. y1 C5 V8 ~0 G( u/ v6 X$ U3 W' ?6 Q$ r6 b9 n/ E( I' r* X
2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
, X E; g1 _& _4 g5 W V8 I Differenzengleichungen der mathematischen Physik," Mathematische Annalen
6 r( _- `1 \3 b [ 100 (1928), 32-74. Translated as: "On the partial difference equations % g k4 L/ z5 t+ V
of mathematical physics," IBM Journal of Resarch and Development 11 5 Z3 Q* J8 T$ D
(1967), 215-234.
5 i: ?, _# U7 ~" L {1 p8 x0 o8 u7 o# k9 U3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"/ u6 a* |" B d: r% [* B; Y
Journal of the Association of Computing Machinery 5 (1958), 339-342.
$ D% n; Y C+ w+ X- x$ g6 l G6 w6 {; V. d9 Q/ H4 n. l4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
: N3 r' S- S" v0 B o4 H Proceedings of the National Academy of Sciences 38 (1952), 235-243.& {( U; n3 `# }$ ~& E9 x
$ J7 d& _* N2 x4 u* J( c5. C. de Boor, "On calculating with B-splines," Journal of Approximation
! U) o! j, c; K; b6 p Theory 6 (1972), 50-62.
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6. R. Courant, "Variational methods for the solution of problems of
3 t3 T# l( ^+ e4 c) Q( P equilibrium and vibrations," Bulletin of the American Mathematical * v* B, S( p+ x! D* N' R
Society 49 (1943), 1-23.3 H" a3 N7 ^4 y- g1 h
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7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
% {; E" E) `# `# I6 z5 k* ?3 [ of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.- j5 V7 Z( P: k; K$ ~" g
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8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems," e; O+ m* @8 ]
Mathematics of Computation 31 (1977), 333-390.
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9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
0 \ j- u$ E) L/ t- u' ` solving linear systems," Journal of Research of the National Bureau of : f c8 Y- ]3 }6 ]6 H% c: }4 h
Standards 49 (1952), 409-436.. m/ f0 `% k* r, P0 b- L! l9 P) W
+ [- e4 Y: O9 W" R0 I
10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for( ~, a" |- q% P( k- {& F
minimization," Computer Journal 6 (1963), 163-168.
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11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
4 ]8 |1 H1 X+ `2 ~# | theorems," BIT 18 (1974), 475-489.: x2 P- X4 X3 [5 y% c! B) X
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12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"! @3 l. |, z6 D- M7 ?
Combinatorica 4 (1984), 373-395.' W3 t/ C( ]& o& F, ?! \/ I
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13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"( C, C6 Z& i$ X8 ?
Journal of Computational Physics 73 (1987), 325-348
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发表于 2004-7-5 22:45
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发表于 2004-12-6 12:48
