[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

. h7 G! Y- w, p0 [0 e! p1. James W. Cooley and John W. Tukey, "An algorithm for the machine
+ {5 o2 z& v0 I4 `calculation of complex Fourier series," Mathematics of Computation 19
. @) E! R% Y0 n* N& _(1965), 297-301.

2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
Differenzengleichungen der mathematischen Physik," Mathematische Annalen
& f6 ^) n/ {5 K; ]+ B* X100 (1928), 32-74. Translated as: "On the partial difference equations
of mathematical physics," IBM Journal of Resarch and Development 11
(1967), 215-234.
' L6 k) A7 ~+ @/ X  F3 m
! N5 R' s$ v0 X4 U7 g: ?2 e8 N3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
, z5 c  O% e0 B: S7 B; tJournal of the Association of Computing Machinery 5 (1958), 339-342.

" j% Z) Y7 K! O# E) b. I4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
9 N" d: _& }4 A6 N$ \$ P) G' E: HProceedings 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
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.

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.
& w2 o4 @, Z; b1 Q: E; W" C8 f
  N* L9 w+ }- m! D- o8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
2 O: s: u  E, W( ~" p* eMathematics of Computation 31 (1977), 333-390.
6 j9 T* c6 a+ O3 j) h
9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
solving linear systems," Journal of Research of the National Bureau of
Standards 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.
, b) ?* a! L: `6 U8 }8 C: D1 O6 C
( t6 Y% @$ w0 s9 p11. 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.

9 b8 O$ c: R9 y! o13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
) ]: q: e1 V/ M( R# ]" HJournal of Computational Physics 73 (1987), 325-348

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