[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
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1. James W. Cooley and John W. Tukey, "An algorithm for the machine
- e% j7 X/ {% c' kcalculation of complex Fourier series," Mathematics of Computation 19
1 F# R4 R2 Q5 \1 _/ l8 W9 r(1965), 297-301.

/ E6 Y7 ?7 n& J: q8 @2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
" f0 @6 V; H; d- ~# c* IDifferenzengleichungen 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.

3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
$ X7 y9 r% X2 q& Y0 G1 M% _7 pJournal 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.
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5. C. de Boor, "On calculating with B-splines," Journal of Approximation
/ g% I4 K! R- ^5 T9 p1 LTheory 6 (1972), 50-62.

1 M1 \! \+ |! s! `7 s) w& C* l4 i6. R. Courant, "Variational methods for the solution of problems of
* i$ J- H7 ?2 N& Requilibrium and vibrations," Bulletin of the American Mathematical
5 G" o& J( x' k  G" x, {9 WSociety 49 (1943), 1-23.

7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
6 {- L/ v4 V2 h6 m  [0 rof a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.

9 |/ x. w% Q: s: v- j  V9 F8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
Mathematics of Computation 31 (1977), 333-390.

9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
" x6 l4 g  A6 Csolving linear systems," Journal of Research of the National Bureau of
7 Y+ a! T) H$ ]4 TStandards 49 (1952), 409-436.
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9 X" ~" s, _+ X( ~2 Y: D8 o10. 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
theorems," BIT 18 (1974), 475-489.

12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
: E9 L: |$ B! {5 ~Combinatorica 4 (1984), 373-395.
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13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
Journal of Computational Physics 73 (1987), 325-348

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