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[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9 Z* {7 J) r' \( h9 ?# |1 }

* 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.
7 H+ X+ |: M+ D1 @& L# {) X4 S; S( q" T% S3 S' l1 J: [) d* c
2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen( ?3 m+ {4 W* d: g0 g
Differenzengleichungen der mathematischen Physik," Mathematische Annalen3 B7 t! x0 H/ Z  `
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.
) {1 B' o& t4 ?& r' H7 H4 X
8 c' r. J, A$ h) k5 o3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"6 l7 f5 t" E4 S
Journal of the Association of Computing Machinery 5 (1958), 339-342.  g; s* l! x, ]% B7 _9 S9 Y

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.
% |2 B" O, h: l5 h6 u) C& @( c0 m( Q8 ?! \! ?9 M
5. C. de Boor, "On calculating with B-splines," Journal of Approximation- ]& X5 c/ M/ J) w$ Q6 T0 s
Theory 6 (1972), 50-62.
$ ^9 E$ R3 ?9 X; ]; h, e5 L! H' X! }. K5 x
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), 1-23.8 s3 Z2 Z5 w5 P: H! p" D' @
7 j, d& z0 y! Y8 |9 C
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.+ s! f, v3 h7 _5 n& S, d

. 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.
2 N4 P) F9 X; M* z9 `  f4 p6 Y6 T/ L
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.! O& p+ g8 M1 s0 W
* U3 p1 O& w/ \
10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for8 {( h# t( M. x2 T2 V& h: E
minimization," Computer Journal 6 (1963), 163-168.7 n8 c5 u: z4 O% ?, G, f4 `
5 }  u; t" r5 \
11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability. i# A; e8 a* C# O4 j  G( Y: o
theorems," BIT 18 (1974), 475-489.
* _, I5 Z% P; j$ E9 d% b2 j5 p2 ]8 g/ g3 ~# L1 X: g2 m
12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
8 ^4 g9 J2 g( t& _Combinatorica 4 (1984), 373-395.
8 p6 t/ @( j, H
: [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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