[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

3 V: k4 v7 e; Q( V8 s. G$ Q" O1. James W. Cooley and John W. Tukey, "An algorithm for the machine
8 n: \, q/ q; ?% M0 ^& Pcalculation of complex Fourier series," Mathematics of Computation 19
(1965), 297-301.

0 Q! E# i* L4 {! j) l; F( F( Z2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
Differenzengleichungen der mathematischen Physik," Mathematische Annalen
7 F# s+ e7 ~  B, K4 D3 z  G0 ?100 (1928), 32-74. Translated as: "On the partial difference equations
of mathematical physics," IBM Journal of Resarch and Development 11
  R8 _4 H7 z8 [8 L  n6 _2 \; X(1967), 215-234.
3 r" A* g, Z% K6 \+ U" u& q
3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
Journal of the Association of Computing Machinery 5 (1958), 339-342.

+ a! d8 l' p( K' u  r4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
Proceedings of the National Academy of Sciences 38 (1952), 235-243.
* [: X, T. r2 x4 n5 H% i
8 T2 s, S  I) i# o5. C. de Boor, "On calculating with B-splines," Journal of Approximation
+ P! y. h/ ^& oTheory 6 (1972), 50-62.

6. R. Courant, "Variational methods for the solution of problems of
% p/ E( D/ k. H2 R* Lequilibrium and vibrations," Bulletin of the American Mathematical
Society 49 (1943), 1-23.

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 Y7 U* [: v# s) X
' Q# z* o% [7 n/ q, N* p1 b9 i8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
" h) N0 J" T; E+ d. ~Mathematics of Computation 31 (1977), 333-390.
: U9 C! V: t- p5 o1 g  V! F
9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
solving linear systems," Journal of Research of the National Bureau of
. T& @0 S1 m$ m1 A1 W" cStandards 49 (1952), 409-436.
+ H2 s" E  u; t1 B. S1 G  `
) I# ~  D6 Q) z10. 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
) [1 J! ~2 Z' ?* u* Rtheorems," BIT 18 (1974), 475-489.
1 e/ K0 ~% N8 N, E# i' }- Q6 w( G
12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
7 }8 ~1 m# X; kCombinatorica 4 (1984), 373-395.
. ~9 [# u7 t/ M; H9 w  {% z! f
1 i( U! a8 h( t! Z4 F8 k13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
Journal of Computational Physics 73 (1987), 325-348

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