[转帖]13篇计算数学经典文献1 b9 g2 D8 @5 R& z8 U发信人: birdf
7 K- w* ~2 T7 m& q0 O标 题: 13篇计算数学经典文献; e; T2 O* a) T. k! i! A, }
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& s6 Z5 e( t) E, a& J# m9 ]9 ?1 V; v x* T% v+ R如果谁有的话, 拿出来共享一下吧: }4 [0 a, d% d7 M6 z$ `8 P
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1. James W. Cooley and John W. Tukey, "An algorithm for the machine
2 Z4 n5 a0 t1 {' H: k7 Z calculation of complex Fourier series," Mathematics of Computation 192 Z7 {+ ~+ w. t9 L
(1965), 297-301.
( ~7 f$ B% }; [5 F( S u) \; L& I# f5 w1 R6 }5 J: X; u5 v
2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen& \) j6 p- p9 {* t% _
Differenzengleichungen der mathematischen Physik," Mathematische Annalen8 z+ l% d( G; @% x" g8 \
100 (1928), 32-74. Translated as: "On the partial difference equations - C, f$ g) \* B5 h5 p) ~
of mathematical physics," IBM Journal of Resarch and Development 11
/ P4 Z4 y s5 L5 L. @ (1967), 215-234.% b* t3 E/ h" @' L) q! j
9 d/ t+ F' O7 Q7 C: S3 c( r% t
3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
- r% j3 g) N3 J% m& K; z* d Journal of the Association of Computing Machinery 5 (1958), 339-342.
/ |4 U- @9 f# I) l% S& ?' b- |( `7 C- A3 ?8 h; E4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"7 b2 D* g) S3 J# n/ r0 y8 G& H
Proceedings of the National Academy of Sciences 38 (1952), 235-243.
& P; y8 `$ t' |, E# J+ F$ l" |/ I, B+ {- R& P+ o3 h$ X5. C. de Boor, "On calculating with B-splines," Journal of Approximation
5 I" u7 W( G6 U! N Z1 Z8 D Theory 6 (1972), 50-62.
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6. R. Courant, "Variational methods for the solution of problems of
8 _+ J- I' j# U6 W( G( o) V" j; } equilibrium and vibrations," Bulletin of the American Mathematical
( x. o8 s- U0 g x3 I/ a4 n$ ~4 _" Y Society 49 (1943), 1-23." b' W$ W0 Q, d* ~
. ?1 y# f( E* Q9 ^0 l+ l7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse; M$ [+ Y: } }4 @
of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224./ [' P& w1 d3 B" N9 e1 I$ s$ f& h
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8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"9 {6 O3 ?( _- n
Mathematics of Computation 31 (1977), 333-390.
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9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for6 S. W. H; ^6 l" k7 i5 o
solving linear systems," Journal of Research of the National Bureau of ! }: k6 t/ a& F* {( }
Standards 49 (1952), 409-436.
3 E- \3 W: N9 n; l, _# ~ [) c) R( M0 ^- y; ]- S, S10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for0 V7 N& l1 t* f; P% C& U( ~+ m
minimization," Computer Journal 6 (1963), 163-168.
5 O$ `7 G+ ?+ [ p6 g" x [- j# E- y7 F' R6 J11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability! l( E! M% j6 O v
theorems," BIT 18 (1974), 475-489.' l7 W! `. E9 v( `: V. C
$ @3 _7 G- l8 v6 J, r12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,", W! |- c @' c/ X9 Z' S
Combinatorica 4 (1984), 373-395.9 t* t/ e* g4 T) c, H- I
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13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
6 T) P8 h9 H* X Y2 W- w Journal of Computational Physics 73 (1987), 325-348
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