[转帖]13篇计算数学经典文献# c4 }" o3 G! m( o8 r0 M
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标 题: 13篇计算数学经典文献7 r$ D& ^0 n/ x/ c0 g, s
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9 z% g8 ]6 Z! E" z2 C3 Y- |" w! w) ^9 F- f& S如果谁有的话, 拿出来共享一下吧. L. U: _- Z* r) C. J0 s( O
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1. James W. Cooley and John W. Tukey, "An algorithm for the machine- v9 {+ }* u$ ^3 |/ U6 i
calculation of complex Fourier series," Mathematics of Computation 19
- S8 {/ g0 b& z: { (1965), 297-301.# U. F0 z1 o2 I2 k: q y
5 g) S9 {0 f I! m9 q2 \4 X" R6 u, g2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen3 s1 ]. j( M6 u0 B5 Y. l
Differenzengleichungen der mathematischen Physik," Mathematische Annalen: ~$ I3 c( u1 V: K5 A
100 (1928), 32-74. Translated as: "On the partial difference equations / h1 ~; j1 U! P& s- I/ C; v
of mathematical physics," IBM Journal of Resarch and Development 11 + l6 V# m4 l; T$ s% X% E/ e% a
(1967), 215-234.* S% _' E W5 l, r) Q
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3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"8 _- v7 d8 D- g, B' z
Journal of the Association of Computing Machinery 5 (1958), 339-342.
+ ^$ J" F& F2 N1 X( s* Y! I7 k4 r- Q9 `4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"3 H! T: p3 Z# w! N1 {$ m
Proceedings of the National Academy of Sciences 38 (1952), 235-243.* X/ y% | q8 C4 j! E9 U
- b4 {# X, h# Q8 O5. C. de Boor, "On calculating with B-splines," Journal of Approximation& p6 n0 a& r8 f
Theory 6 (1972), 50-62.% n8 p: i& S/ D5 \! v% c5 i
2 W0 N3 ~1 S. m- N, a7 F6. R. Courant, "Variational methods for the solution of problems of
: _1 X; J1 l0 Q; h, C$ ]; K equilibrium and vibrations," Bulletin of the American Mathematical # V* C+ J j9 _- m7 i! i) k
Society 49 (1943), 1-23.6 m* r5 z1 E: F; d
) {+ n$ v$ w8 h, R9 d7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
; d" t" v* o: }" O" @ of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224./ Y* z- C* |* c, y) Y0 V
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8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
( _4 B8 j! J6 X7 b Mathematics of Computation 31 (1977), 333-390.
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9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for& Q. c1 h- Y( \. O9 N
solving linear systems," Journal of Research of the National Bureau of
6 Q$ ^, S4 t, }" y0 X! ~* X, s% q3 _& Q Standards 49 (1952), 409-436.+ {2 D% O. e5 e8 C0 V, v* M* v8 g b
& A# G, A: c& w1 v& y10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
0 O- Y9 H& _6 k; t# u3 }2 C minimization," Computer Journal 6 (1963), 163-168.
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11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
" _( E: Q4 U( f' m, f theorems," BIT 18 (1974), 475-489.( u1 v" o: \7 K: Y
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12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
( l- k, F. @4 ?8 p* G Combinatorica 4 (1984), 373-395.2 `7 y. i2 {! E4 Y2 o9 n1 n- m
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13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"% x- g, R2 B3 N L' Y* U* [* q8 `! a
Journal of Computational Physics 73 (1987), 325-348
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发表于 2004-7-5 22:45
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