[转帖]13篇计算数学经典文献; C; {/ K& u" h g发信人: birdf
6 O. u4 p) c& P" l4 w, y% U标 题: 13篇计算数学经典文献2 I0 ^, N$ v# j* V+ Z* H2 _0 Y
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0 H; O5 b, R7 o& m* ^& j/ p2 ~, N, r8 X5 d6 V; F1. James W. Cooley and John W. Tukey, "An algorithm for the machine
5 L/ y2 H, L* V1 e4 P calculation of complex Fourier series," Mathematics of Computation 19+ O ]% p3 f" ^. G# t
(1965), 297-301.6 Y* b; W5 l, I
% B+ p- w2 F: _6 Y0 i3 x8 m7 `2 Q
2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
2 K, P; n6 N5 C# l# W5 }0 e Differenzengleichungen der mathematischen Physik," Mathematische Annalen
6 I, M( n0 V9 ]& P 100 (1928), 32-74. Translated as: "On the partial difference equations ' w0 ?8 W* ^" t& `3 p# V9 s# K) w
of mathematical physics," IBM Journal of Resarch and Development 11 % \. a8 |0 n7 N# h6 H1 u
(1967), 215-234.$ V: e# C+ F! v+ D+ O) K, J
3 B2 O( c! E# f
3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
( q8 L8 t8 s! j' o; t Journal of the Association of Computing Machinery 5 (1958), 339-342.
5 O* ]9 R* t0 W# D* |: i2 ^/ e0 V# i1 w( q5 s& n6 |! L4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
% z) O2 o" x5 \+ f0 B2 f6 | Proceedings of the National Academy of Sciences 38 (1952), 235-243.- Y' U: V) U" `+ d6 R( f
7 O5 X+ u6 A; a. z; P9 H
5. C. de Boor, "On calculating with B-splines," Journal of Approximation
8 r- Y* }: o: \6 z4 a$ x! ^8 g1 C Theory 6 (1972), 50-62.
8 q8 \) M% j1 I! R. g* L% X! I k$ ` c( ~' ]; x& C
6. R. Courant, "Variational methods for the solution of problems of
6 f! y; T( `5 ]* G- w equilibrium and vibrations," Bulletin of the American Mathematical
" ?8 ]5 U& |7 D- B8 G( _6 M1 [ Society 49 (1943), 1-23.6 p5 f, | z3 ]3 X/ G, G0 g
# ^! j1 |6 n# b/ N8 Y
7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
+ w$ Y- Y: \1 ]# e+ F+ s- Z2 r# V of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.
2 X) r/ I0 e$ I2 U/ Z; ?) h: A6 z7 i- R2 r7 s/ Q8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
4 Y/ b4 |( z8 a+ i. z$ U Mathematics of Computation 31 (1977), 333-390.
" j( V; g- O0 d1 ~; H, U/ e/ g$ l' t, V% ]" h
9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
+ Y% k4 X; V% z/ _ solving linear systems," Journal of Research of the National Bureau of 1 o# g, g& {" r
Standards 49 (1952), 409-436.$ n. E2 f. y; {# L- G* Y
, q# y ?) @0 T& v! [10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for) ]' g. P0 z3 l7 [% T( W! s4 t
minimization," Computer Journal 6 (1963), 163-168./ f8 V- G& w! L) T
6 d5 i! T7 D) H3 ^. |3 d8 u3 w& V
11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
! q" f; f `0 r( e theorems," BIT 18 (1974), 475-489.$ u( \% P9 j: F
& \3 O8 m _ l* A12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"% I) e/ ^, R* a' A1 }
Combinatorica 4 (1984), 373-395.( Z! i( k4 k, n; r% W
% n5 A- J( e( ~* d6 O% M8 M6 o' Q: b
13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"5 a1 k) C! N+ W9 ~' `
Journal of Computational Physics 73 (1987), 325-348
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