标题: [转帖]13篇计算数学经典文献 [打印本页] 作者: god 时间: 2005-1-19 16:13 标题: [转帖]13篇计算数学经典文献 13篇计算数学经典文献6 O+ O1 g3 L! R6 ` Y8 V. g; V5 b
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1. James W. Cooley and John W. Tukey, "An algorithm for the machine , Q, }! y1 N* q0 i, G: j- N0 Ycalculation of complex Fourier series," Mathematics of Computation 19* \; f8 b. Y$ ^' B
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2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen/ _+ `3 k4 j! Z0 P4 G5 n' L
Differenzengleichungen der mathematischen Physik," Mathematische Annalen9 O6 R( c' Z# w) \: R
100 (1928), 32-74. Translated as: "On the partial difference equations $ y- y8 M+ O0 ~0 Y/ Z% h* pof mathematical physics," IBM Journal of Resarch and Development 11 3 ~5 `; V1 O5 a3 D(1967), 215-234.) Q5 R. ?0 I2 D" ]2 H9 d5 v$ ~
- e* t( b+ ]. B6 o7 w3 S1 I9 M3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix," " ^ ~0 @/ t6 }, R8 `, K2 [, U. qJournal of the Association of Computing Machinery 5 (1958), 339-342.' L+ Z* O# G- u8 p9 T
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4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations," & O9 m" z. E% x6 n2 {Proceedings of the National Academy of Sciences 38 (1952), 235-243.* [ b2 C5 h, ^% x$ ?. ]
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5. C. de Boor, "On calculating with B-splines," Journal of Approximation : w' o6 |6 W! T8 [; U4 F8 pTheory 6 (1972), 50-62. 8 q3 L2 R5 h8 W% a5 s! a+ K( G( q 2 Y; {9 ~# Q# n% ^* g* X5 p6. R. Courant, "Variational methods for the solution of problems of ; l1 V _9 \2 x/ G0 j9 t+ q7 g; f: yequilibrium and vibrations," Bulletin of the American Mathematical A5 e# M0 \" NSociety 49 (1943), 1-23. 3 z- x0 \) O7 Q 9 E4 \" Q. Q! r7 J7 t$ c( E7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse1 M; n1 W6 \0 Y
of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.+ G+ U5 Y( D. Y$ |, V# ~' y
+ k$ K4 p5 ]2 ^1 ~* x6 U4 O9 ~8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems," - w* D5 i& R) AMathematics of Computation 31 (1977), 333-390. ; G; b) T6 J V0 j$ L4 w5 y: w9 f& H/ i3 A! T/ L) N7 d+ z. p9 `
9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for 5 b. l, b! G- _! Q, jsolving linear systems," Journal of Research of the National Bureau of $ V8 L- I5 {" x5 }
Standards 49 (1952), 409-436.! w u- Y. s% e% l% b% M
3 ^! k) k0 S5 q4 a7 p% \10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for % V% B' u0 x! d0 ~3 |$ c) ?! U( {- G) m) mminimization," Computer Journal 6 (1963), 163-168./ j N& \& j9 ^+ }: E- _1 c, n- l
) V g$ A& d( w: j+ M) P11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability/ |5 _. b2 T5 I$ c Z
theorems," BIT 18 (1974), 475-489.: I' h8 R0 I. B; g8 F4 h1 Y' Z, I
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12. N. Karmarkar, "A new polynomial-time algorithm for linear programming," 1 G# U- e4 q% qCombinatorica 4 (1984), 373-395.5 q& j+ i8 u7 F6 Y, j. ]
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13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations," / C+ ^8 [6 i$ Y( }: _/ h5 ?Journal of Computational Physics 73 (1987), 325-348作者: wangyi 时间: 2005-1-19 16:52