[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
: [3 K& f- t  m- ^! J. K( scalculation of complex Fourier series," Mathematics of Computation 19
(1965), 297-301.
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9 K& i9 X6 z) V2. 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
# D7 T+ d) `2 M(1967), 215-234.

; s8 U9 W7 L& c+ e; c# ^* `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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3 r- }+ Y0 F1 c4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
, g# k4 I1 V" N/ b4 M( b% dProceedings of the National Academy of Sciences 38 (1952), 235-243.
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( g* @* o- c# g1 j  ]2 \* P5. 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
Society 49 (1943), 1-23.

; F4 _2 N1 o8 ]8 @6 z7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
: g3 Q( a. G% P4 p; x1 J  Uof a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.
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: I. Q- e8 j3 f4 n4 G4 E8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
, x  Q) B& u" x$ |2 ?Mathematics of Computation 31 (1977), 333-390.
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, _) ?: k5 x0 [: V# }9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
solving linear systems," Journal of Research of the National Bureau of
Standards 49 (1952), 409-436.
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2 J& T) d' d1 @) j) N* f( A10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
minimization," Computer Journal 6 (1963), 163-168.
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" H& O, y% }: k' p4 W. s11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
$ F0 s+ }2 k, b  t' j" utheorems," BIT 18 (1974), 475-489.
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12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
Combinatorica 4 (1984), 373-395.
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6 H8 ]! W  O5 o9 a13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
0 E6 g% ~: R- Y; ~Journal of Computational Physics 73 (1987), 325-348

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