[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

* s+ M7 h" C- X& L# P1. James W. Cooley and John W. Tukey, "An algorithm for the machine
: O, P5 ^) n. b# \- J( h0 L1 u8 Wcalculation of complex Fourier series," Mathematics of Computation 19
+ Q& Q8 B: b% K. M# o0 I(1965), 297-301.
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2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
Differenzengleichungen der mathematischen Physik," Mathematische Annalen
100 (1928), 32-74. Translated as: "On the partial difference equations
6 B) G) B0 c& O0 O0 ?of mathematical physics," IBM Journal of Resarch and Development 11
9 B( F( G& |! n0 j# ^(1967), 215-234.
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8 c' r. J, A$ h) k5 o3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
Journal of the Association of Computing Machinery 5 (1958), 339-342.

0 i4 ^4 e/ m) r( c4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
4 ^/ d. H4 f( C! sProceedings 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
. Z' ^) \6 h7 l5 c1 v  ]( k! hequilibrium and vibrations," Bulletin of the American Mathematical
, T* G) _0 o; |: \4 n6 LSociety 49 (1943), 1-23.

7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
. p3 Y# P- k! t- Z5 Y$ Hof a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.

. F0 y7 o  r' M/ }5 w0 k+ J8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
: |; ~4 r$ l( }+ sMathematics of Computation 31 (1977), 333-390.
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9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
/ V* ~) t7 K: Isolving linear systems," Journal of Research of the National Bureau of
5 `" k5 Q0 L' A0 r2 A6 T$ IStandards 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.

11. 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,"
8 ^4 g9 J2 g( t& _Combinatorica 4 (1984), 373-395.
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: [6 q5 ~5 }) h6 ]" ^5 g6 b8 g$ o13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
3 [% D' N+ K3 y  Y# T6 X7 OJournal of Computational Physics 73 (1987), 325-348

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