标题: [转帖]13篇计算数学经典文献 [打印本页] 作者: god 时间: 2005-1-19 16:13 标题: [转帖]13篇计算数学经典文献 13篇计算数学经典文献 $ {/ r b( z& Q2 y- f# t- J. ?) g& t1 N2 U0 j- R L
1. James W. Cooley and John W. Tukey, "An algorithm for the machine ; m& W- `6 K7 k4 }) W8 N# ~calculation of complex Fourier series," Mathematics of Computation 19 ; k( v9 G. c6 ^% Z* K8 Y' X$ F(1965), 297-301. % G3 N( [! Q) T! T/ h# h3 m. N+ P$ B c: u
2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen/ n4 d$ \4 Z% j/ }, e Z: ^
Differenzengleichungen der mathematischen Physik," Mathematische Annalen m# f" w; d G; A! i: ?
100 (1928), 32-74. Translated as: "On the partial difference equations . X$ x& q+ [$ A9 [5 B: c% M
of mathematical physics," IBM Journal of Resarch and Development 11 & l* [# t d) R, G* }
(1967), 215-234.2 {2 B& S& e- p& X' }& O: s* z% o
1 W! x$ f' C% X4 Y3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix," ) {0 ^, b& u3 R9 D) E/ m9 L9 X% |Journal of the Association of Computing Machinery 5 (1958), 339-342. 1 B( q+ q* k* d; z0 v9 \3 y# z# n* N2 h* H4 w% e' {
4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"+ Q& r7 m- ~9 D/ L
Proceedings of the National Academy of Sciences 38 (1952), 235-243.% h$ h0 l2 D# H, ^9 W4 ]# o3 K
. H. a& {. m* N$ z) \4 ~- \7 a2 K5. C. de Boor, "On calculating with B-splines," Journal of Approximation , g' V# H4 m6 r: i M* V: E8 G: JTheory 6 (1972), 50-62. 1 x! b4 n7 C% @- k5 W% \- W+ g6 O& |: H
6. R. Courant, "Variational methods for the solution of problems of1 \3 A; H. U9 t+ u$ \5 ^
equilibrium and vibrations," Bulletin of the American Mathematical 5 g3 C: [9 P9 _1 j; R, GSociety 49 (1943), 1-23. , z$ R8 U+ s5 V7 V1 x S( [* d7 c3 h [9 P2 ]- c0 L
7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse ' n8 k, r+ Y( Z/ X! r5 ?3 Tof a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224. ; d7 L' U. [- D: g2 ] 2 @# t: |3 t) E0 F8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"( k9 q) Y! V) O# L
Mathematics of Computation 31 (1977), 333-390. 4 p, Q! o; L( F! B) |# t& N- k! w3 S
9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for & N4 O( R$ |5 @solving linear systems," Journal of Research of the National Bureau of ; J: X6 [8 O- ?" w1 X% h
Standards 49 (1952), 409-436.: n l' J0 F) B7 E# ]
" }" @4 A6 a$ E. _2 k, L' L
10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for' C! Z4 @& l& X/ I
minimization," Computer Journal 6 (1963), 163-168./ W: J. @: b5 Z/ V
' [8 T/ Z Z3 ]4 {1 ^
11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability * ]- T% t0 C4 Y, o1 {/ g5 U4 Ptheorems," BIT 18 (1974), 475-489. # }8 Z; {4 ?, l% t % H1 c6 S* |! e1 T! w# w; w12. N. Karmarkar, "A new polynomial-time algorithm for linear programming," j+ P- j$ I3 B$ ~! l; y
Combinatorica 4 (1984), 373-395. 1 D5 h5 s, V* `3 T: V# c4 y ' ~+ E& F& a/ ]( Q" G( X& S% e13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"# W) f2 M- g+ S$ a( Q' y7 Z
Journal of Computational Physics 73 (1987), 325-348作者: wangyi 时间: 2005-1-19 16:52