[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
7 I6 `# F; b: c% ?(1965), 297-301.

2. 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
6 L0 d9 z$ {3 u& D(1967), 215-234.
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5 G6 i: _, N5 @3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
, L& H2 ^8 k3 `( L! S' ^% WJournal 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.

' k4 g6 {7 _9 ]( J5. C. de Boor, "On calculating with B-splines," Journal of Approximation
2 E9 J& l( e$ [% YTheory 6 (1972), 50-62.

6. R. Courant, "Variational methods for the solution of problems of
4 m( Z5 l( I5 Q" d1 A# Oequilibrium and vibrations," Bulletin of the American Mathematical
6 O* o4 S# l) G) K) M$ N: ASociety 49 (1943), 1-23.

$ V, v; ^, P9 Z- I: z: L% A2 T! Q7. 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,"
Mathematics of Computation 31 (1977), 333-390.
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9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
solving linear systems," Journal of Research of the National Bureau of
  g3 C# o5 z% R& N2 jStandards 49 (1952), 409-436.

10. 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
2 z8 y1 W1 y% m& C8 Vtheorems," BIT 18 (1974), 475-489.

. M3 B' P3 ?% T0 N( |0 x12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
Combinatorica 4 (1984), 373-395.
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$ s  P3 F7 L+ ~+ R+ s. j! ]9 M13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
8 g: ~" ]2 {+ n/ H' S- b( G' h  f9 y# YJournal of Computational Physics 73 (1987), 325-348

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