[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

1. James W. Cooley and John W. Tukey, "An algorithm for the machine
6 G5 y4 V: F4 ?: t$ [calculation of complex Fourier series," Mathematics of Computation 19
(1965), 297-301.

5 I! r5 E7 F( M3 i2. 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
" e0 A% k6 x4 `* i3 [' A(1967), 215-234.
$ c% }) R  @8 r& _0 n
/ q4 z; Q: Y- S' D3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
Journal of the Association of Computing Machinery 5 (1958), 339-342.

4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
( k+ k9 l5 b0 b: [- rProceedings of the National Academy of Sciences 38 (1952), 235-243.

5. C. de Boor, "On calculating with B-splines," Journal of Approximation
; |; m9 q, C( ATheory 6 (1972), 50-62.
9 \" h6 v, _+ r- i
6. R. Courant, "Variational methods for the solution of problems of
equilibrium and vibrations," Bulletin of the American Mathematical
Society 49 (1943), 1-23.
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9 B; N; K* I6 o7 w7. 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,"
) l5 o( C/ C. T3 d) G& Z9 Z$ HMathematics of Computation 31 (1977), 333-390.
; ~' s4 P  W8 p% |
, @+ J/ f, T! l) U( a  z9. 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.

! ?6 |0 Q& g- `9 u9 j9 c  v10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
( O4 x4 u9 W) b" A3 Y+ c6 U; n3 pminimization," Computer Journal 6 (1963), 163-168.

11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
9 P5 ?5 t# Q9 Ctheorems," BIT 18 (1974), 475-489.

12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
Combinatorica 4 (1984), 373-395.

6 g/ Y" f% y( e" P13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
Journal of Computational Physics 73 (1987), 325-348

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