[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
- Z2 W# `3 u! \2 T! U$ B0 dcalculation of complex Fourier series," Mathematics of Computation 19
(1965), 297-301.

9 P+ h5 w9 b, G) H2. 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
# Y* h9 \" g! B/ }, h( `of mathematical physics," IBM Journal of Resarch and Development 11
(1967), 215-234.
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: `: P0 ]+ n4 N' Z- c) k3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
7 W9 V) A8 h3 o/ @1 t) w+ a$ N- i/ YJournal of the Association of Computing Machinery 5 (1958), 339-342.
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8 [3 R, \& P% M& |, M9 C4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
% k0 o2 f! R9 RProceedings 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
! H. H  j! z3 `- s$ O1 \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
Society 49 (1943), 1-23.

) S( F6 s7 G9 \7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
: P: A, m+ {# B' s7 fof a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.
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7 T3 x7 |- h# i$ Z; o) w8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
! m" z) P9 }& c9 `8 [Mathematics of Computation 31 (1977), 333-390.

, w7 X& @' w7 K, O) ~0 R. x/ x9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
solving linear systems," Journal of Research of the National Bureau of
2 T+ V# Q8 G+ l2 x0 g: X2 oStandards 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.

11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
theorems," BIT 18 (1974), 475-489.

12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
, B+ T8 Y8 q! }, g) V: VCombinatorica 4 (1984), 373-395.

13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
+ t) p8 K- r3 rJournal of Computational Physics 73 (1987), 325-348

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