[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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# K  e4 J/ r# F( T0 q1. James W. Cooley and John W. Tukey, "An algorithm for the machine
calculation of complex Fourier series," Mathematics of Computation 19
(1965), 297-301.

2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
$ G: v- A% }6 u  J: FDifferenzengleichungen der mathematischen Physik," Mathematische Annalen
5 u3 T7 P: L. v& w; G100 (1928), 32-74. Translated as: "On the partial difference equations
of mathematical physics," IBM Journal of Resarch and Development 11
0 M! ?- G+ h7 A# G) p; o" O# {(1967), 215-234.

! y( B+ F# K  Y; u9 u1 ?9 e3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
8 j8 Q/ L! j- ~  J! IJournal 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.

& B) Z9 p* Y! I4 r6 y5. C. de Boor, "On calculating with B-splines," Journal of Approximation
/ i) X# O: ]5 B4 s- KTheory 6 (1972), 50-62.

+ k( r& @8 s6 ?3 v/ P. ]6. R. Courant, "Variational methods for the solution of problems of
equilibrium and vibrations," Bulletin of the American Mathematical
4 u/ |/ E' r% D4 ~Society 49 (1943), 1-23.

8 c7 K5 j* U- W4 J7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.
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8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
Mathematics of Computation 31 (1977), 333-390.

+ H1 ?7 x2 G" R" N# ^9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
solving linear systems," Journal of Research of the National Bureau of
+ q8 r: _1 L1 f) oStandards 49 (1952), 409-436.

2 c) Q, k2 y/ W( P7 k8 X10. 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
8 j; K# O/ `' z% E! Ctheorems," BIT 18 (1974), 475-489.
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5 F# R/ D$ f3 r3 x' l6 @12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
* X7 {6 B+ S1 h7 a- W- N8 z# _" MCombinatorica 4 (1984), 373-395.

13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
5 c8 K' m3 p# E, \3 NJournal of Computational Physics 73 (1987), 325-348

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