[转帖]13篇计算数学经典文献) ?9 }. X$ ^- e- w0 c+ [, U发信人: birdf
3 @/ _5 w% i3 p( I" R1 O标 题: 13篇计算数学经典文献
7 T8 L" W7 F& g) ]3 Q: a* f发信站: 北大未名站 ) K0 {! e0 Y/ C1 N0 J4 o1 h: @. V
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如果谁有的话, 拿出来共享一下吧
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1. James W. Cooley and John W. Tukey, "An algorithm for the machine+ Z$ x, F8 E. Y9 r
calculation of complex Fourier series," Mathematics of Computation 19
1 v/ N* C/ W& H& ~ ? (1965), 297-301.
$ S0 [4 N" l2 q8 ^; I) w# s4 B5 S% k/ n) \8 n
2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
0 n- I! \' x5 Z! z2 t! o* F Differenzengleichungen der mathematischen Physik," Mathematische Annalen; d v- ]7 c! F, j/ I F, F
100 (1928), 32-74. Translated as: "On the partial difference equations * i% P- D7 h. X6 q1 j1 n
of mathematical physics," IBM Journal of Resarch and Development 11 $ j5 F& z- G* F, a+ t3 q
(1967), 215-234.0 k4 |, S3 R( e& Y/ _/ X. e [
, l; \; `2 ^( [9 T3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
+ V# j, X c7 K, u% [0 e; K. q Journal of the Association of Computing Machinery 5 (1958), 339-342.
7 r8 n, |9 ~" N2 E! V: C6 O( b" p1 R4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"$ M, @) h+ T' g4 e- @. u
Proceedings of the National Academy of Sciences 38 (1952), 235-243.3 r+ j: L/ M1 [- |3 k
9 G( l# v/ M* P1 c+ q% o" v5. C. de Boor, "On calculating with B-splines," Journal of Approximation5 b/ S/ m0 b8 u% U' D8 ^9 u
Theory 6 (1972), 50-62.
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6. R. Courant, "Variational methods for the solution of problems of
; }; S& n$ Q/ [6 {3 E- F equilibrium and vibrations," Bulletin of the American Mathematical 3 X! Z( {8 H% ~% K6 S4 R, @8 q
Society 49 (1943), 1-23.8 j3 M/ a$ W) A) k- t# ]
( k% N$ n' ` A7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
U% L+ L- ?! l0 x& t/ G& r of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.+ W4 H& k4 b# f, L
, n8 ~- F" s* m, Q4 n1 |5 j8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"/ i& B& b% @+ O. j- p5 l
Mathematics of Computation 31 (1977), 333-390.
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9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
. }2 K0 u1 L* Q+ `4 G. w4 G) V solving linear systems," Journal of Research of the National Bureau of " U+ A; @( A& D( P) d
Standards 49 (1952), 409-436.
9 C, [* j( n7 u, d+ z( d1 O: R# g; E0 c; f' K# _10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for) W7 ~' W% x! R
minimization," Computer Journal 6 (1963), 163-168.' W/ x2 ?' A/ y; Y
/ s# Z8 r# l$ K, {11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability( B8 Q) b+ { Y# b, Y
theorems," BIT 18 (1974), 475-489.0 z0 b5 w9 C9 b. @2 I$ T
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12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
% s, Y; @, A+ c- T. W Combinatorica 4 (1984), 373-395.0 b# j1 o* B1 x$ g' I
$ x) b2 ^' ~/ N E
13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
& ?6 I. G1 k9 Y Journal of Computational Physics 73 (1987), 325-348
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