[转帖]13篇计算数学经典文献0 B: Y0 |' t; Q' {5 J& x发信人: birdf - N/ Z$ p5 u8 x* E9 O& g. O
标 题: 13篇计算数学经典文献1 `- c4 x) U! k: e) C5 }( U' x% s5 X" @
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6 Y8 h( ?* M* ?6 P8 y) m' l
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1. James W. Cooley and John W. Tukey, "An algorithm for the machine
( z# X1 F: \( e- I calculation of complex Fourier series," Mathematics of Computation 19
& R) Z" a: F2 \1 v (1965), 297-301.
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2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
. J$ v: p/ |: Y9 {, ^$ w; ` Differenzengleichungen der mathematischen Physik," Mathematische Annalen9 z7 o O$ b7 L; j& K
100 (1928), 32-74. Translated as: "On the partial difference equations
; K6 E* b" C, h; R0 F6 R% z5 |$ Q of mathematical physics," IBM Journal of Resarch and Development 11 ; W. {6 F+ q0 P- R( W3 S3 k8 k
(1967), 215-234./ i4 v: t9 m$ `* J4 ?* M
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3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"9 P: E3 `; k0 m- h* S Y1 h) D
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,"
8 Y& I& f6 U9 ]' C1 M Proceedings of the National Academy of Sciences 38 (1952), 235-243.
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5. C. de Boor, "On calculating with B-splines," Journal of Approximation
* J; o4 @9 L: n2 K Theory 6 (1972), 50-62.6 V) }5 o" U2 y$ p! D# O
6 l& \: i& O6 e% P& c+ a5 H6. R. Courant, "Variational methods for the solution of problems of9 `0 E& u4 e& W
equilibrium and vibrations," Bulletin of the American Mathematical ; n3 E2 `6 U R2 H
Society 49 (1943), 1-23.
0 [ l {% G3 f8 l" w. H" J) y9 k: H" ^6 l: h7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
4 K" J1 u/ B6 k& O: I: N9 C0 K of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.+ ^0 m% o g8 g2 {! r# ^
; e" b/ S/ J" m/ E! V3 Y8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
' z' l; f! N- _1 g6 I# I Mathematics of Computation 31 (1977), 333-390.
* K2 u* ]+ V& e' d: M% N/ _ R2 c) I7 G) d9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
+ n6 M; _+ N. B0 e z* |! I. ` solving linear systems," Journal of Research of the National Bureau of ; U X W0 o: G3 P# o- m
Standards 49 (1952), 409-436.4 F% ]6 e0 _: ]: z7 G5 S" l
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10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
7 o6 L: d9 X4 \2 z$ z minimization," Computer Journal 6 (1963), 163-168.9 @% l3 L& w; ?5 ^+ U" H3 F
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11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
) r M$ M4 ^0 M4 c5 Y$ Y, t theorems," BIT 18 (1974), 475-489.
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12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
& c' p! o) ]2 U/ u Combinatorica 4 (1984), 373-395.
+ J" }! \+ ^! |0 h! j% u- p7 l0 U* c8 T/ q13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
% v* \% a9 p' {2 P; T' y Journal of Computational Physics 73 (1987), 325-348
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