[转帖]13篇计算数学经典文献) O K9 a$ _, m0 j, k
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标 题: 13篇计算数学经典文献
6 t8 j* v, P5 z ]6 ]. k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
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1. James W. Cooley and John W. Tukey, "An algorithm for the machine1 t/ K7 ^0 H% l
calculation of complex Fourier series," Mathematics of Computation 19( w( V: t. Y) e m0 ^' T5 J
(1965), 297-301.
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2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
' {% P0 |- E3 O6 O' W Differenzengleichungen der mathematischen Physik," Mathematische Annalen
. j) _5 }/ C/ M3 x3 [ 100 (1928), 32-74. Translated as: "On the partial difference equations
|' w; H2 b! j0 w0 K of mathematical physics," IBM Journal of Resarch and Development 11 5 v# R* @/ U ^. _$ X" x/ f0 U
(1967), 215-234.
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3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
- `; F) m l; B* 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,"' @' Q7 ]8 V7 X. ^
Proceedings of the National Academy of Sciences 38 (1952), 235-243., w4 i$ e7 P& d
* V# Y5 [4 c$ @2 G5. C. de Boor, "On calculating with B-splines," Journal of Approximation w, e1 F& J$ F8 c% V; `
Theory 6 (1972), 50-62.
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6. R. Courant, "Variational methods for the solution of problems of! J& \+ E; X) |* w% h" i( s, O0 [
equilibrium and vibrations," Bulletin of the American Mathematical 0 G3 [4 p! B. O" F% L, s9 \- d* J
Society 49 (1943), 1-23.
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7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
- z8 }8 m, R9 X" [2 U% V4 |- ] 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,"
# {8 X$ m' K, e/ c' L ? Mathematics of Computation 31 (1977), 333-390.
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9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for' Q! O4 }: l8 k; }2 F8 W
solving linear systems," Journal of Research of the National Bureau of 4 Y9 N( f5 t; i$ Q2 \4 x/ ~4 h
Standards 49 (1952), 409-436.
; T! F8 z$ W7 u5 Z7 E. F G8 @- y+ ^10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for z4 C7 d6 B [" x7 ~1 c
minimization," Computer Journal 6 (1963), 163-168.6 W7 v# j4 ?, H. g- F4 s" ^
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11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
; i) b9 ~5 U b! Z! ]2 |# Q# a theorems," BIT 18 (1974), 475-489.
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12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"9 p5 b) Q: r, T: a- Q
Combinatorica 4 (1984), 373-395.
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13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
" W& }8 T% T& a) H Journal of Computational Physics 73 (1987), 325-348
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发表于 2004-7-5 22:45
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