[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

1. James W. Cooley and John W. Tukey, "An algorithm for the machine
calculation of complex Fourier series," Mathematics of Computation 19
1 D5 F  R  Q' P3 Z8 E/ O(1965), 297-301.
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0 N0 H8 H& |6 P8 l. k7 M8 j% }7 W2 N$ z- o* [2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
% x* ^, b4 ^$ }* kDifferenzengleichungen der mathematischen Physik," Mathematische Annalen
* L( S$ ]+ p, q100 (1928), 32-74. Translated as: "On the partial difference equations
' s& x. {7 l1 d: ^. fof mathematical physics," IBM Journal of Resarch and Development 11
(1967), 215-234.

3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
Journal of the Association of Computing Machinery 5 (1958), 339-342.
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. s8 c) a8 b( W3 |6 E8 P# D4. 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
Theory 6 (1972), 50-62.
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- }: g6 a' K9 Q% P% |, t6. R. Courant, "Variational methods for the solution of problems of
equilibrium and vibrations," Bulletin of the American Mathematical
0 J8 }# E/ Q* P4 F# Z+ FSociety 49 (1943), 1-23.
+ k7 m( R; g/ j! _0 U2 }
% h: p/ \/ _8 X: n7. 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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5 n; M) S+ W% u6 ~8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
' b: m' J! O' m: K3 A) EMathematics of Computation 31 (1977), 333-390.
2 H+ j( ^$ M8 @. j- D5 r
9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
* A5 B* J; p+ ~& B8 f( k/ j- Qsolving linear systems," Journal of Research of the National Bureau of
Standards 49 (1952), 409-436.
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* x6 |/ U' u/ c5 H$ G1 r10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
+ B% P: H# t) U( y) kminimization," Computer Journal 6 (1963), 163-168.
3 J8 M' G* d0 n5 z: a, Z; c
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,"
Combinatorica 4 (1984), 373-395.

13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
/ c6 y  }5 O8 lJournal of Computational Physics 73 (1987), 325-348

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