[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

. ~) U: b9 K( c- u1. James W. Cooley and John W. Tukey, "An algorithm for the machine
calculation of complex Fourier series," Mathematics of Computation 19
3 u4 x! @2 M  h1 y  {3 o# y(1965), 297-301.

& k: \, R0 Y" d2. 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
(1967), 215-234.

3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
$ i* |" h: ?3 p; M1 o. p0 eJournal 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,"
Proceedings of the National Academy of Sciences 38 (1952), 235-243.
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5. C. de Boor, "On calculating with B-splines," Journal of Approximation
Theory 6 (1972), 50-62.
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6. R. Courant, "Variational methods for the solution of problems of
equilibrium and vibrations," Bulletin of the American Mathematical
  R* P2 s( u; L7 ]; wSociety 49 (1943), 1-23.

9 ]7 _. a! j) P2 Z. _+ R; V6 t7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
of 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,"
Mathematics 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
Standards 49 (1952), 409-436.
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- M' p' r- J3 t& Q2 o! j. s- m, A10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
minimization," 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.

# X; r$ U3 V5 x1 d" j12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
9 k: d) A8 s9 p% f: z8 I. TCombinatorica 4 (1984), 373-395.
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13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
Journal of Computational Physics 73 (1987), 325-348

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