[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

7 N$ P  r" n- N1. James W. Cooley and John W. Tukey, "An algorithm for the machine
calculation of complex Fourier series," Mathematics of Computation 19
4 J( a9 k6 z% L. m0 o(1965), 297-301.
: x' ?0 d6 L# z" _' E+ g4 c( M
- S1 D- ~& P, X  c3 S9 t2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
! L9 T$ n( B  b- q% y3 CDifferenzengleichungen der mathematischen Physik," Mathematische Annalen
& i% G9 I7 y# d2 K) ^" X100 (1928), 32-74. Translated as: "On the partial difference equations
- ]/ ^' b2 v+ [of mathematical physics," IBM Journal of Resarch and Development 11
( k( i9 P: B- D0 V: E4 p(1967), 215-234.

3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
8 K+ p: E! ~# q; A9 oJournal of the Association of Computing Machinery 5 (1958), 339-342.

4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
Proceedings of the National Academy of Sciences 38 (1952), 235-243.

- C7 d3 V" B. N) Q. E: a6 \, Z, V5. C. de Boor, "On calculating with B-splines," Journal of Approximation
Theory 6 (1972), 50-62.
! H% O: H$ x- P1 ~
& S+ C! Y- m! j/ K) q6. R. Courant, "Variational methods for the solution of problems of
. w  E' K8 r0 `: `equilibrium and vibrations," Bulletin of the American Mathematical
6 W% Z& w  a! h- x9 C; }  l2 KSociety 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.
) a5 ]5 f+ q. o+ I
7 V, r0 k/ @& }2 z( ?5 n4 n8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
6 n- v8 J: u- r0 x' V& E& r8 l( ~Mathematics of Computation 31 (1977), 333-390.
3 Y/ D$ ]6 ]3 l1 `
. K2 L9 g1 ^4 i# S* F9. 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.
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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.
8 T& k+ {/ V+ T; d9 L% g
% m9 k& b7 H' L11. 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.
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13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
: n) y0 @( \) I1 ZJournal of Computational Physics 73 (1987), 325-348

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