[转帖]13篇计算数学经典文献4 T, r4 [1 O. a% W Q( G
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8 h1 C8 V [" _标 题: 13篇计算数学经典文献/ T# o1 L; @( J8 |0 R7 f' \
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4 m7 B" e0 q9 f Z _( F- m' C, a$ U如果谁有的话, 拿出来共享一下吧% o9 b; U, Q2 S d1 Z- O ?
5 ~2 @4 D) X6 p3 [, M! A1. James W. Cooley and John W. Tukey, "An algorithm for the machine) s, O9 h) }1 b9 ?
calculation of complex Fourier series," Mathematics of Computation 19" Z1 t) t. {; m) Z
(1965), 297-301.
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2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen6 C' S6 U, T2 Q; `* J
Differenzengleichungen der mathematischen Physik," Mathematische Annalen
5 q$ H. g5 }% g, ?0 k 100 (1928), 32-74. Translated as: "On the partial difference equations " l9 W1 w6 J. }4 u* x: C
of mathematical physics," IBM Journal of Resarch and Development 11
$ k3 \! G6 H$ @# p" u (1967), 215-234.
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3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"8 J K V; y+ ? \* }& J
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,"
# Z8 A/ `' y9 J# S" {9 w4 i" w5 f Proceedings of the National Academy of Sciences 38 (1952), 235-243.
$ P5 u# @$ n) B' o2 f0 |! a5 m: h! q; Q5. C. de Boor, "On calculating with B-splines," Journal of Approximation
q5 ~- y, V s Theory 6 (1972), 50-62.; S3 j, Q( c4 u" r
: g4 U0 E0 X3 w% ]6. R. Courant, "Variational methods for the solution of problems of& O# B# O+ F. v9 N: G2 G( ?- f
equilibrium and vibrations," Bulletin of the American Mathematical
% h, y p: |% N! k' S, H \ n Society 49 (1943), 1-23.
! U: ]5 ~1 i9 \4 x3 _8 t0 s4 m t) l3 d9 E7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse, `* g. _: b# p6 |' v6 o4 Z. g# s
of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.) v) W7 b/ Q% m' L, H$ u. Q
/ m( J E: R. M$ p: R+ N9 v+ H9 D8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
0 m6 U. Y& G, W, T9 s Mathematics of Computation 31 (1977), 333-390.
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9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
* S' e. y: Z1 W5 u$ H solving linear systems," Journal of Research of the National Bureau of
9 e! v( [- k9 }* I Standards 49 (1952), 409-436.& z1 y8 [( S2 E# v8 L! L. O0 [
) D) S9 H9 ?- c( R v4 k/ U0 @. ]10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for* L d3 o. A# P. ?
minimization," Computer Journal 6 (1963), 163-168.
* I& L$ G( e8 m4 q; J9 N% F: p( ]/ b" N6 E$ a* l U6 N0 |11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
6 w4 @/ S: ]; ]0 _ theorems," BIT 18 (1974), 475-489., j0 }( c9 F5 \ d
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12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
$ n" f( F) ^1 L$ \% w- U Combinatorica 4 (1984), 373-395.6 k4 H0 m) q. v' x! r
+ ~- ?& C$ J3 Q, D Q8 V! I2 a
13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
; c& D1 t& |; F0 c Journal of Computational Physics 73 (1987), 325-348
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