[转帖]13篇计算数学经典文献: B& Z% ?, X' Y& Z* s- y5 W发信人: birdf - L/ P! t' \( O
标 题: 13篇计算数学经典文献
) @7 d3 a, y$ z, A2 B% y发信站: 北大未名站 9 m( T2 v4 c6 m7 c
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如果谁有的话, 拿出来共享一下吧. P* M' E: o0 ?0 O$ ^
8 h, L4 @: V$ _. [" a( \$ t1. James W. Cooley and John W. Tukey, "An algorithm for the machine( }) _! y# Q9 l z
calculation of complex Fourier series," Mathematics of Computation 19
! Q1 _8 o7 D0 y! {1 B+ r0 P2 r! b (1965), 297-301.' b5 P8 ^9 f: U+ k+ x2 b2 U3 P
0 B8 m; V; U8 q9 B$ M2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
) c8 k: n/ h$ H9 w4 g0 W1 N4 P, @ Differenzengleichungen der mathematischen Physik," Mathematische Annalen
7 ?4 G6 J' t0 H @+ U/ u# r7 m 100 (1928), 32-74. Translated as: "On the partial difference equations
" f! V* F2 ]! ~9 h: U7 u6 g of mathematical physics," IBM Journal of Resarch and Development 11
: {, e# F2 i4 w (1967), 215-234.
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3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"3 }9 H1 d# ~4 g" V; \% Z) \
Journal of the Association of Computing Machinery 5 (1958), 339-342.
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4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
. H, d) n0 c9 M6 | Proceedings of the National Academy of Sciences 38 (1952), 235-243.6 y% f3 q; {; `
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5. C. de Boor, "On calculating with B-splines," Journal of Approximation
8 v# h' x1 p* j9 q- k q Theory 6 (1972), 50-62.! i( A! |- ~6 B; `; J5 G. h
0 {' `0 N2 K9 \5 \& d6. R. Courant, "Variational methods for the solution of problems of4 K* [( m0 o" v- Q* J
equilibrium and vibrations," Bulletin of the American Mathematical
4 e/ d3 L2 X4 _ Society 49 (1943), 1-23.
2 y, W7 r! _" l2 F' ]* k! K7 {* _/ E8 c) ?: L0 h% R7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
3 j: Q+ `$ V. h* y( L8 _ of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.
5 z/ X& s. O L9 u2 c# ^8 a& N" r+ D9 [9 \8 g+ [8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems," I( p& E" P- m1 x- B0 a0 I( n' V
Mathematics of Computation 31 (1977), 333-390.
4 O! z- A$ K& Z2 ]0 U$ |1 f" o, H0 S( J0 k; n; h9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for* y! a' N$ p$ u* O3 i+ [1 v
solving linear systems," Journal of Research of the National Bureau of
' [' Z4 ?# p6 D Standards 49 (1952), 409-436.
5 @ ?% a& e- d& G- H1 Z( V4 G! w, }- Q, Z& g% {10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for$ S, I! @& b9 V7 d# h
minimization," Computer Journal 6 (1963), 163-168., w' d$ i5 r2 \6 }
/ \# H$ O" ?- b11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
1 r# s" @% P& p5 c' Q6 G2 O6 x& \ theorems," BIT 18 (1974), 475-489.
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12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
4 k# b3 b W* k6 b& p# G" R Combinatorica 4 (1984), 373-395.. Y* {9 O3 z9 ~# F$ E3 S4 f
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13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
( k: i1 n! o: R. _ M Journal of Computational Physics 73 (1987), 325-348
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花了30块钱买这个文章，呵呵
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8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"+ U$ a X" Q1 e
Mathematics of Computation 31 (1977), 333-390.
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发表于 2004-7-5 22:45
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发表于 2004-12-6 12:48
