[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
9 v, D: w; F, }' ]1 l5 H4 Icalculation of complex Fourier series," Mathematics of Computation 19
(1965), 297-301.

2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
Differenzengleichungen der mathematischen Physik," Mathematische Annalen
; l; L9 N- x1 {; x0 B, @* B. \100 (1928), 32-74. Translated as: "On the partial difference equations
, S: N3 |& o6 J, L# Z  P' E& L# eof mathematical physics," IBM Journal of Resarch and Development 11
(1967), 215-234.
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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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: `8 Z" i, \' |  y& H0 {) f4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
5 S* ?% E* ^' Q, wProceedings of the National Academy of Sciences 38 (1952), 235-243.

5. C. de Boor, "On calculating with B-splines," Journal of Approximation
# n% A; V/ I  l' _Theory 6 (1972), 50-62.

6. R. Courant, "Variational methods for the solution of problems of
. Z, K9 l0 L7 \- w' gequilibrium and vibrations," Bulletin of the American Mathematical
Society 49 (1943), 1-23.
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7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.

8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
( ~$ j  e  \( `; e3 D- r, w+ [% ^Mathematics of Computation 31 (1977), 333-390.

3 [5 K( J+ ^; T6 `8 _9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
) G0 k" C; s; V7 Q7 zsolving linear systems," Journal of Research of the National Bureau of
2 N6 V; v+ ~, Y' SStandards 49 (1952), 409-436.

' v9 n* ]) g7 @) v4 n9 x10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
minimization," Computer Journal 6 (1963), 163-168.

11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
/ X& i- Z, \& K; }3 w& |( ytheorems," BIT 18 (1974), 475-489.

1 P6 W( O5 i0 F) b/ X  s12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
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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