[转帖]13篇计算数学经典文献

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13篇计算数学经典文献

7 u0 r  z+ @* [% ^2 m% i0 Z1. James W. Cooley and John W. Tukey, "An algorithm for the machine
calculation of complex Fourier series," Mathematics of Computation 19
9 n8 E+ W, |* K6 W" j8 e2 O(1965), 297-301.

2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
Differenzengleichungen der mathematischen Physik," Mathematische Annalen
100 (1928), 32-74. Translated as: "On the partial difference equations
+ w2 \% `7 u' Y8 G2 x, Fof mathematical physics," IBM Journal of Resarch and Development 11
(1967), 215-234.
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+ p/ v0 d7 y. B# u9 R3 I; d3 S8 s3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
8 y" R& ]8 G! `- `; }& g$ \Journal of the Association of Computing Machinery 5 (1958), 339-342.

4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
Proceedings of the National Academy of Sciences 38 (1952), 235-243.
4 J; _$ K/ L2 M( c
# X% e7 N. V" i* W( [5. C. de Boor, "On calculating with B-splines," Journal of Approximation
Theory 6 (1972), 50-62.
% u8 G: E* J, s9 r; O5 e
6. R. Courant, "Variational methods for the solution of problems of
equilibrium and vibrations," Bulletin of the American Mathematical
* d6 a; z) J& L: u/ {; ISociety 49 (1943), 1-23.

7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
' Y+ a' A$ C1 ]5 J4 b! z" l4 zof a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.
/ d* b; G$ s" Q7 c
$ i; A) i8 Q( K8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
: B" H, t2 Y( ?, a( P1 I5 eMathematics of Computation 31 (1977), 333-390.
" _$ m& q/ p3 v; x
( c, ]) Q* d7 [8 ~" E9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
- S3 k: I3 l3 A" z1 U. lsolving linear systems," Journal of Research of the National Bureau of
Standards 49 (1952), 409-436.
+ m- ^- T, s( l* P
10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
+ e7 p8 g' q* T1 sminimization," Computer Journal 6 (1963), 163-168.

11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
) p$ {. B; @& c1 h3 Ltheorems," BIT 18 (1974), 475-489.
) ^5 {5 H0 [9 h, K  V1 W
12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
Combinatorica 4 (1984), 373-395.

13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
Journal of Computational Physics 73 (1987), 325-348

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