[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

) s5 F6 G0 D& p* P1 w0 q1. James W. Cooley and John W. Tukey, "An algorithm for the machine
5 `8 A1 G, s4 a7 ^/ r3 V1 Fcalculation of complex Fourier series," Mathematics of Computation 19
(1965), 297-301.

2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
Differenzengleichungen der mathematischen Physik," Mathematische Annalen
* h5 i7 F. u- }' ^$ J100 (1928), 32-74. Translated as: "On the partial difference equations
of mathematical physics," IBM Journal of Resarch and Development 11
(1967), 215-234.

3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
. d6 ~" q* o, KJournal of the Association of Computing Machinery 5 (1958), 339-342.
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4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
8 ~- t/ r/ z6 }$ lProceedings of the National Academy of Sciences 38 (1952), 235-243.
" k; T( ]# L! F9 F2 t) G, U& R
5. C. de Boor, "On calculating with B-splines," Journal of Approximation
Theory 6 (1972), 50-62.

) ?) E9 K* S  F( H9 R! L0 `6. R. Courant, "Variational methods for the solution of problems of
equilibrium and vibrations," Bulletin of the American Mathematical
Society 49 (1943), 1-23.

, n8 F: U3 @+ a/ `* b1 P7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
+ T; S% a0 |5 i2 n+ S3 {of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.
1 i5 g( ]$ T, G1 `/ f" Y, F
8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
Mathematics of Computation 31 (1977), 333-390.

: J! t/ N3 K' J0 ]% B0 Q* C9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
9 a: ~2 u- Q1 |9 xsolving linear systems," Journal of Research of the National Bureau of
- ~4 P8 P% ~' Q& S4 u  H- l( gStandards 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.

! C* p0 r6 r2 U1 t" K2 M11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
theorems," BIT 18 (1974), 475-489.
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12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
Combinatorica 4 (1984), 373-395.
8 }2 p/ g2 F: T& _8 @4 f) S
13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
- a2 A: |. b# G: B( {8 E: _) BJournal of Computational Physics 73 (1987), 325-348

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