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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' T# p8 {, i2 q6 b7 J* J

0 O4 q( ?0 d: O) J& I1. James W. Cooley and John W. Tukey, "An algorithm for the machine- }& H4 f5 f3 V
calculation of complex Fourier series," Mathematics of Computation 19
8 q9 Z. _' P6 ~2 r! d(1965), 297-301.& @1 b+ s; b6 c& o

* l- g" F4 [9 C8 Q% a2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen; R; w8 S0 ?, S
Differenzengleichungen der mathematischen Physik," Mathematische Annalen: l4 ?8 \3 T" Y
100 (1928), 32-74. Translated as: "On the partial difference equations
% P4 t! W% d1 u2 f6 G% Jof mathematical physics," IBM Journal of Resarch and Development 11 6 c. }. v& ?. }
(1967), 215-234.' q& T6 I3 Y/ C9 _; E7 V

& B* L7 C- b& W5 ^# @3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"* I: [" `7 o1 u! v9 n
Journal of the Association of Computing Machinery 5 (1958), 339-342.8 x+ H+ Q0 m9 N! @2 G0 M/ @) ~
0 o6 r! j4 Q9 T3 M1 f2 {) z( L+ W
4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"6 {$ ?$ O! m, a9 u) b
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% @! ^4 S% l1 X5. C. de Boor, "On calculating with B-splines," Journal of Approximation+ ^7 ~$ O- P( K2 q- `6 G
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6. R. Courant, "Variational methods for the solution of problems of
* ?# G8 E4 f5 vequilibrium and vibrations," Bulletin of the American Mathematical - h* h2 V) _" I4 k0 _
Society 49 (1943), 1-23.# C1 `' N0 x# i
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7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
  a3 `. h  `6 Mof a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.9 J$ R9 D5 F  w6 @9 l0 x
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8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
5 y7 M. B0 a1 I# `Mathematics of Computation 31 (1977), 333-390.3 c5 l& Z# Z- F: d8 G7 u5 \
( O3 _0 R8 \. `
9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
6 t& W7 x. c" Ksolving linear systems," Journal of Research of the National Bureau of , F0 c1 |) \7 G, N5 K
Standards 49 (1952), 409-436.
8 j" U' i  S7 t+ {; p7 ?, ]% p) r# M4 [: l  ~/ [" W
10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
0 U: I" K! O$ E6 Lminimization," Computer Journal 6 (1963), 163-168.3 v$ ^0 D& R+ j+ p( i

" Z' l( J2 N& K  f9 J2 s! w11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
' Q* s' k/ t' ]6 E8 ~: Qtheorems," BIT 18 (1974), 475-489.8 M3 W$ a0 ~7 J4 d4 \1 M
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12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"& G* r) g4 m* }- N% K" g* z
Combinatorica 4 (1984), 373-395.
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13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
2 D2 Q3 Y1 L9 ^2 s. _% KJournal of Computational Physics 73 (1987), 325-348
作者: wangyi    时间: 2005-1-19 16:52

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