[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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# h* u4 w9 d1 l9 `! a; F1. James W. Cooley and John W. Tukey, "An algorithm for the machine
calculation of complex Fourier series," Mathematics of Computation 19
. N0 Y* I! k  w; [) X, K(1965), 297-301.
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2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
  f: c, n( n& e1 q1 p; ^Differenzengleichungen der mathematischen Physik," Mathematische Annalen
100 (1928), 32-74. Translated as: "On the partial difference equations
# U/ S2 N2 y2 d  Q2 dof mathematical physics," IBM Journal of Resarch and Development 11
/ X' P/ ?8 m+ w(1967), 215-234.
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( Q! `" K% d: q) G% E  W3. 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,"
0 ^3 [& m/ d: p) zProceedings of the National Academy of Sciences 38 (1952), 235-243.
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' N. n1 w+ T. Z2 u: p! z5. C. de Boor, "On calculating with B-splines," Journal of Approximation
3 U. z9 I* e: `1 |( bTheory 6 (1972), 50-62.

6. R. Courant, "Variational methods for the solution of problems of
- ~; _! H/ r3 \, S4 dequilibrium and vibrations," Bulletin of the American Mathematical
Society 49 (1943), 1-23.

7. 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.

2 Z9 p0 l- I1 z$ y& [4 Q9. 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.

10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
; f. f! b* q7 q+ e6 nminimization," Computer Journal 6 (1963), 163-168.

11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
8 e( _9 Q7 @' c! z" ]/ h- |theorems," BIT 18 (1974), 475-489.
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12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
4 U  x# s) t7 u. o& \0 K0 mCombinatorica 4 (1984), 373-395.

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

wangyi

这篇文章版里已经有了.