[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
, p# p# |0 ?/ W% p3 ]$ x0 ~5 i3 Ycalculation of complex Fourier series," Mathematics of Computation 19
(1965), 297-301.
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2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
) r* [0 l9 |) e! dDifferenzengleichungen der mathematischen Physik," Mathematische Annalen
100 (1928), 32-74. Translated as: "On the partial difference equations
% S* K5 v' X. S1 ?6 yof mathematical physics," IBM Journal of Resarch and Development 11
(1967), 215-234.
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) |. @+ z! o1 a+ q8 `" G3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
( b/ P3 L4 j7 O  uJournal of the Association of Computing Machinery 5 (1958), 339-342.

# {8 y) A- t$ w4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
Proceedings of the National Academy of Sciences 38 (1952), 235-243.

6 l( ?- X" q5 g) ?8 Z- S5. C. de Boor, "On calculating with B-splines," Journal of Approximation
Theory 6 (1972), 50-62.
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  Q4 _' b' v1 B& \6 c% S& H6. 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
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.
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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
( y+ ^" W) o% uStandards 49 (1952), 409-436.

10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
minimization," Computer Journal 6 (1963), 163-168.

0 u3 b& l2 I' P. e6 Z. z3 h/ b11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
: w) g! K% u4 [theorems," BIT 18 (1974), 475-489.

: e+ ~4 T7 u9 Y/ k- d# M. l# y" s12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
. a0 e; c% p- W) R5 G  yCombinatorica 4 (1984), 373-395.

' ?$ E0 s. w0 q; ^; Y& u! k13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
Journal of Computational Physics 73 (1987), 325-348

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