[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

1. James W. Cooley and John W. Tukey, "An algorithm for the machine
: Q, W" A- X& |calculation of complex Fourier series," Mathematics of Computation 19
(1965), 297-301.

( {9 ~0 @6 b3 e6 L+ m6 P+ h2. 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
of mathematical physics," IBM Journal of Resarch and Development 11
(1967), 215-234.
, ?, F4 s3 Z, L2 s2 w# d& F" R
3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
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,"
Proceedings of the National Academy of Sciences 38 (1952), 235-243.

5. C. de Boor, "On calculating with B-splines," Journal of Approximation
Theory 6 (1972), 50-62.

6. R. Courant, "Variational methods for the solution of problems of
equilibrium and vibrations," Bulletin of the American Mathematical
. B5 K1 D% u  O2 ^, L* a* PSociety 49 (1943), 1-23.
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9 A3 B$ N- N9 N  I  w( C8 K7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.

7 H' }, t& {- _0 u8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
Mathematics of Computation 31 (1977), 333-390.
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9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
( l+ Y4 _0 ]. a1 J6 l7 Zsolving linear systems," Journal of Research of the National Bureau of
Standards 49 (1952), 409-436.

! R# i: I- r# G6 C; Z/ Q9 U10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
minimization," Computer Journal 6 (1963), 163-168.
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11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
* ?1 V$ K0 B# H( utheorems," BIT 18 (1974), 475-489.

12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
Combinatorica 4 (1984), 373-395.

3 O3 z8 C" J8 g7 K4 Z9 l13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
Journal of Computational Physics 73 (1987), 325-348

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