[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
calculation of complex Fourier series," Mathematics of Computation 19
0 n& L9 p) g2 |0 n# O(1965), 297-301.
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5 C2 _9 v3 f" ~7 y( x* ^$ O  O6 I2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
Differenzengleichungen der mathematischen Physik," Mathematische Annalen
, E( I( M; x! Y& Q$ |100 (1928), 32-74. Translated as: "On the partial difference equations
of mathematical physics," IBM Journal of Resarch and Development 11
1 `! x8 Z4 m1 [, }: _' o(1967), 215-234.

9 d3 ?/ n4 I) t: l8 U: u8 c3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
  P) q+ x/ F$ A, J2 NJournal of the Association of Computing Machinery 5 (1958), 339-342.
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1 d$ g  C; T6 z9 |& z; E4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
/ @+ J/ A* U: P1 jProceedings of the National Academy of Sciences 38 (1952), 235-243.

0 N- V) v* k' y; f( a  b# w/ {0 t: Z5. C. de Boor, "On calculating with B-splines," Journal of Approximation
Theory 6 (1972), 50-62.

/ {0 B& e3 H; k8 O  I6. R. Courant, "Variational methods for the solution of problems of
equilibrium and vibrations," Bulletin of the American Mathematical
Society 49 (1943), 1-23.

6 T' u* g  M3 G* b7. 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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, h& P% z2 o4 Q+ w8 T# ~8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
& K( p4 V! k5 U: {Mathematics of Computation 31 (1977), 333-390.
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! p0 \6 i& B5 J( U9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
! f$ d$ g- p/ g, {2 Ksolving linear systems," Journal of Research of the National Bureau of
Standards 49 (1952), 409-436.
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) G7 l8 b+ `1 ^* H; r10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
1 x1 o3 A, [* p) B3 }/ ^minimization," Computer Journal 6 (1963), 163-168.
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% G& |( O5 d5 K4 A& \) w- l8 B11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
! I6 O/ h1 ?3 W" p, Dtheorems," 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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13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
7 w5 f" [+ v6 ]  L$ VJournal of Computational Physics 73 (1987), 325-348

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