[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
- D* |, w" A$ S0 v7 c' \calculation of complex Fourier series," Mathematics of Computation 19
(1965), 297-301.

4 X8 u% |3 A8 b. @2 v2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
) \# y/ U8 f" X8 s- oDifferenzengleichungen der mathematischen Physik," Mathematische Annalen
& C. m! ~& c0 C( o. J, W100 (1928), 32-74. Translated as: "On the partial difference equations
of mathematical physics," IBM Journal of Resarch and Development 11
(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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4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
3 K9 q: U8 E  }/ xProceedings of the National Academy of Sciences 38 (1952), 235-243.

5. C. de Boor, "On calculating with B-splines," Journal of Approximation
Theory 6 (1972), 50-62.

" ]0 n8 M( _* x% l4 v6. R. Courant, "Variational methods for the solution of problems of
  U! i3 C/ j1 a+ F$ ^' ~2 H  sequilibrium and vibrations," Bulletin of the American Mathematical
4 r% u! C0 B( xSociety 49 (1943), 1-23.
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# o# B3 X4 c9 s# `0 g3 T( u7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
; Q, N" I# ?" G2 H! L0 mof a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.
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8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
1 ^8 c9 a  s, \/ c  y, N( F! NMathematics 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
( `" b) Z9 A5 b4 qStandards 49 (1952), 409-436.
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10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
4 s0 J" B, b0 lminimization," Computer Journal 6 (1963), 163-168.

11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
theorems," BIT 18 (1974), 475-489.
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12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
. M# Q2 w4 Q. w. S7 K% }+ PCombinatorica 4 (1984), 373-395.

. F& P  Y+ `! ]6 A4 S13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
# Y! o! y" Z' p' h% o" H3 m0 M) C  Y8 u& ]Journal of Computational Physics 73 (1987), 325-348

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