[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
, N  }# X3 c' @7 l& \calculation of complex Fourier series," Mathematics of Computation 19
(1965), 297-301.
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) r$ g. h! M! p, |2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
Differenzengleichungen der mathematischen Physik," Mathematische Annalen
) C; T8 P' ^+ u+ x1 a  {+ M100 (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,"
% ~" g# f5 f* Z' `1 x0 ZJournal 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.

5. C. de Boor, "On calculating with B-splines," Journal of Approximation
" p# g; A3 r: b7 N; t- x' ?+ p7 S* r$ _Theory 6 (1972), 50-62.

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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7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
3 r6 r: T, h, w( W0 S+ {& oof a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.
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0 J& e' q$ T. t& x$ G8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
Mathematics of Computation 31 (1977), 333-390.

9 H# w, j5 {' b5 t% I9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
" f/ v8 C4 k/ U& Ksolving linear systems," Journal of Research of the National Bureau of
. m, C- b0 H+ M/ ~. w8 }9 N, QStandards 49 (1952), 409-436.

8 x6 Y' p6 \. k" _. t10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
/ a1 ^) E( W. H& p) f0 Bminimization," Computer Journal 6 (1963), 163-168.
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11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
theorems," BIT 18 (1974), 475-489.
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6 I2 v# X' I$ \/ o  A2 ?12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
; W5 {7 \5 b- Y. n9 Y! rCombinatorica 4 (1984), 373-395.

, n- u& Q: E/ c* k1 ?13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
% ~6 U$ c1 R3 i8 x6 CJournal of Computational Physics 73 (1987), 325-348

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