[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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4 X8 z5 j2 B3 ^( {1. James W. Cooley and John W. Tukey, "An algorithm for the machine
' q3 G2 G1 B- H7 F6 Rcalculation of complex Fourier series," Mathematics of Computation 19
" y; b8 n2 s4 B% R5 j: W& ^$ @3 C(1965), 297-301.
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) d; G* F: C# ^+ W( p" Z2. 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.
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3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
& p% ?7 S# Z) l4 P0 ZJournal of the Association of Computing Machinery 5 (1958), 339-342.
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9 [1 e* Q, K5 s! W. H) i' N4. 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
9 {3 @* w* Q$ zTheory 6 (1972), 50-62.

$ D6 {2 J: z9 Q: J6 r6. R. Courant, "Variational methods for the solution of problems of
/ }( R4 D8 ^/ r/ M+ N7 Requilibrium and vibrations," Bulletin of the American Mathematical
  p6 v, E( p* ^# ^0 J- USociety 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.

0 o0 z8 z- i  h% e+ ]8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
1 s" f2 }* s- q# ]; [Mathematics of Computation 31 (1977), 333-390.

$ Y3 j5 |+ D5 Z- d9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
% @; I' }9 S( |0 X; P' }solving linear systems," Journal of Research of the National Bureau of
Standards 49 (1952), 409-436.
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10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
minimization," Computer Journal 6 (1963), 163-168.
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+ i% v* R: s$ u8 V% O) l11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
. x& Y$ D" x8 T2 l$ t3 O, C$ @theorems," BIT 18 (1974), 475-489.

$ q5 q7 N" r, F% o3 J( V12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
Combinatorica 4 (1984), 373-395.

13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
; a3 l+ t0 e) y: A, {; C- [0 hJournal of Computational Physics 73 (1987), 325-348

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