[转帖]13篇计算数学经典文献* l3 R5 p% A. j* l$ r ]发信人: birdf " [4 r0 Z0 `$ Z. C
标 题: 13篇计算数学经典文献: c* B( O, |& f0 z6 B
发信站: 北大未名站 # c! j" d5 l! G1 H4 Y
" k. Z; f; e+ ~4 a7 h) K: C" c9 W0 P如果谁有的话, 拿出来共享一下吧* n8 t2 q8 K# i' l0 e* |" ~$ g
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1. James W. Cooley and John W. Tukey, "An algorithm for the machine
' |. G0 R2 [# ^7 b5 w; i% _ calculation of complex Fourier series," Mathematics of Computation 197 j. h% G1 b$ e/ Q; W% q
(1965), 297-301.
" l( Q: G: l) @8 P$ q5 y" ~* i& T% Y2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
* I6 B# Y3 B% N/ x' y Differenzengleichungen der mathematischen Physik," Mathematische Annalen
9 h6 m, G9 k& P6 u 100 (1928), 32-74. Translated as: "On the partial difference equations ' R4 e4 ^+ k$ k" m) B( V5 A
of mathematical physics," IBM Journal of Resarch and Development 11 ! {# N- `% f& B0 G
(1967), 215-234.
k2 L- B# ^$ l; u6 m( ?8 ]9 y5 R3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"# O& i$ y( y1 v4 h* _ y% g
Journal of the Association of Computing Machinery 5 (1958), 339-342.
6 K' \" P; y: j! K1 I5 `: S5 \% e( N8 M7 n0 ?# p4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
9 u9 s' g% c5 k& @% v7 B Proceedings of the National Academy of Sciences 38 (1952), 235-243.7 a. z; s4 w$ d, L3 J
' @0 h6 ~' m s1 G, c4 u6 }9 u, {
5. C. de Boor, "On calculating with B-splines," Journal of Approximation; t* w* ]4 |0 |0 e
Theory 6 (1972), 50-62.
/ U3 j' r/ R' Q- J& J! O9 A$ J, Q) V/ n3 k6. R. Courant, "Variational methods for the solution of problems of
6 [' g. G$ W# V X( ~. x equilibrium and vibrations," Bulletin of the American Mathematical 9 W+ C: J$ N& S5 w/ j/ r3 |
Society 49 (1943), 1-23.
: V: {- X- I6 |9 ^) K! _* t8 U) B. E; ]1 g9 I; `9 M3 h' p
7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
8 i+ y* v2 b+ Q1 \7 `. P7 E9 N& _ of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.1 B8 `) u7 A/ |0 U3 l/ g' [+ [& E
' H# k( E9 I2 ~7 p. z: h# [8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"1 s, R9 G9 x" P: ?
Mathematics of Computation 31 (1977), 333-390.
% ^; E8 n: w8 k& b' _, u. u9 N' ?! z- n3 n! o# G7 k" m$ D
9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for1 T- V' V7 \ Q4 r& ?
solving linear systems," Journal of Research of the National Bureau of
+ y! t9 P+ s: @! b* P- J Standards 49 (1952), 409-436.
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10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for' l( {2 Q h+ {4 T
minimization," Computer Journal 6 (1963), 163-168." X( y4 V0 z. p- w/ n. Q
" G l, e& A, e! m) F) ~1 g11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
" v3 W+ ^- P6 S" V& X. A theorems," BIT 18 (1974), 475-489.2 s( {7 ~0 d. v8 F# E2 I3 T
6 p# N- F u1 T0 X5 P! ^
12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
3 ]4 u+ D4 q/ V' [1 J$ ^, t Combinatorica 4 (1984), 373-395.
$ l$ a7 S3 F( F" g2 L0 ~/ ]& s3 A+ o' K, D/ A4 Y- d# ? u& u13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"# l5 T9 N9 o& s, _; a4 j. ~ g2 t
Journal of Computational Physics 73 (1987), 325-348
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发表于 2004-7-5 22:45
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