[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
(1965), 297-301.

7 w$ @7 a& T7 R$ e2 x" w2. 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
9 v0 A! T, {  Z& @! ^of mathematical physics," IBM Journal of Resarch and Development 11
8 h  w1 T) _3 ^1 h9 E(1967), 215-234.

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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9 @9 q, y6 y: W4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
Proceedings of the National Academy of Sciences 38 (1952), 235-243.
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; x3 n% R; v$ a& _1 T5. 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
. L" U" Z1 d+ S# C& u; k7 R4 N- [Society 49 (1943), 1-23.
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7 `. Q- \$ Y6 i/ n1 N9 N" R# c: R7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
2 Z4 ?, j) n9 N+ w5 Dof a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.

8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
) p& K" E: T1 C# Z4 MMathematics of Computation 31 (1977), 333-390.
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% Q$ U* v+ }2 B9 O  u- z8 w9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
% g7 Q! C) r8 }& O$ Q9 Y4 [4 ?solving linear systems," Journal of Research of the National Bureau of
& j5 }1 B; s0 e4 p) d! A, t1 HStandards 49 (1952), 409-436.

1 |% i0 Q3 f, s. |; x10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
9 r$ C" r) @4 x- g9 _minimization," Computer Journal 6 (1963), 163-168.
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11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
! C9 i. I, Z0 }* ]theorems," BIT 18 (1974), 475-489.

12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
. n3 u2 j5 K% ^/ y" c. h- rCombinatorica 4 (1984), 373-395.

13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
Journal of Computational Physics 73 (1987), 325-348

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