[转帖]13篇计算数学经典文献4 l& }' j2 ~$ y
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标 题: 13篇计算数学经典文献1 p K9 O6 Z) ^( y; v
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 h; F1 b( v: c& H' }6 r
& i @6 L6 [# r; f1. James W. Cooley and John W. Tukey, "An algorithm for the machine
* k: ~6 P$ H' `1 k/ K calculation of complex Fourier series," Mathematics of Computation 190 j# g- i2 a3 {4 o& b( f7 @
(1965), 297-301.
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2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
" Y- I% Z5 j$ i Differenzengleichungen der mathematischen Physik," Mathematische Annalen6 i \2 f G1 c: Y% Y# R+ `. N) K
100 (1928), 32-74. Translated as: "On the partial difference equations
8 ^2 `- r4 c' J+ E# _0 w9 J% a of mathematical physics," IBM Journal of Resarch and Development 11 " N* h! Q; L# R. t1 C5 [
(1967), 215-234.
9 T5 N, h0 g" _0 P& w# f- O/ X5 _: [# t* M7 h1 Z3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
d; U% X1 o9 @8 \* [ Journal of the Association of Computing Machinery 5 (1958), 339-342.
. G7 q. u% L1 v/ {0 Z4 Z5 S* N4 I6 k6 [% _7 @7 }4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
6 P L. o$ k' G5 t8 B Proceedings of the National Academy of Sciences 38 (1952), 235-243./ \% _, G3 a' P
0 Z3 p+ P- y% `9 p2 C1 A0 \& J/ D4 P/ W5. C. de Boor, "On calculating with B-splines," Journal of Approximation
6 k+ X4 [7 t. x! ^ Theory 6 (1972), 50-62.
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6. R. Courant, "Variational methods for the solution of problems of! s' H! @/ T9 T( \
equilibrium and vibrations," Bulletin of the American Mathematical
8 [$ }# X. ?9 R8 s& v0 o Society 49 (1943), 1-23.8 Z& ~" f0 n/ Z4 @; ~
+ W- W- T2 y) }$ I7 S+ x! U% t7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
" N/ [* w; d$ J5 t of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.
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8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
$ c2 c5 G: d9 }# z/ e Mathematics of Computation 31 (1977), 333-390." I8 d7 }/ i1 c* w1 `0 X; f
' {7 V% e6 W% M I% E# G+ I$ T$ c9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
( b9 F# Y6 ]- \8 S2 R' c# v( Q solving linear systems," Journal of Research of the National Bureau of " ?; G. G5 B& G' e
Standards 49 (1952), 409-436.
( @, b/ w0 i: p6 d5 y. Z3 o5 _. d( d4 C8 Q, G" w! Z; r( J10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for- b, G' i. U$ u6 m8 y/ ?' q
minimization," Computer Journal 6 (1963), 163-168.. V; H; u) w: l2 h" \
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11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability6 W5 D& K/ s' J$ A
theorems," BIT 18 (1974), 475-489.
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12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"$ Y& ]* L. X# }8 E) r
Combinatorica 4 (1984), 373-395.4 X% l5 {, c" j0 D6 y
( K4 {4 H5 i! H4 y* p13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"/ D2 }3 a# D* I% a9 P2 [
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
