[转帖]13篇计算数学经典文献8 Y7 `& j% \/ Q; C# P' j. ?2 g发信人: birdf
4 }/ Y& O( D2 {( T m) S+ t" E标 题: 13篇计算数学经典文献0 M" R2 l: z L5 S1 s
发信站: 北大未名站 / b" g; K" I8 q! ~: E
8 }5 D8 a% L# F3 a6 T( I* }如果谁有的话, 拿出来共享一下吧. R8 m' a2 K+ F$ L% Z( ~% s
3 H- a1 _4 I& W9 U- b& O' D4 |
1. James W. Cooley and John W. Tukey, "An algorithm for the machine( [; W* |$ g' i2 [* p
calculation of complex Fourier series," Mathematics of Computation 19
$ M4 T0 y2 U% e0 g (1965), 297-301.
/ Y- d$ }9 E' W8 J/ t+ J7 Z- ^1 T% h& U9 k0 m9 n0 P* p) d
2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen/ V9 [+ o+ A/ E( V( j4 b# I; K
Differenzengleichungen der mathematischen Physik," Mathematische Annalen
# K8 @/ i9 @7 u4 Q% z 100 (1928), 32-74. Translated as: "On the partial difference equations
+ r. X7 U) w. `# g/ C of mathematical physics," IBM Journal of Resarch and Development 11
( ?6 a# o: y4 I" _ (1967), 215-234.) L/ e! s0 ?' I( w
. c- R" `: _/ l% B7 }3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
. r$ x$ \, m( J* W# o Journal of the Association of Computing Machinery 5 (1958), 339-342.0 i7 b/ [! A: j8 ~8 d% i
# g: d4 G6 C' B' r& g
4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
. ]* o) I6 k6 E: _- y5 Q Proceedings of the National Academy of Sciences 38 (1952), 235-243.
4 {5 {6 K; _7 h9 L& a) M7 S6 L/ r5 X; C8 e4 F( X4 F9 R* i5. C. de Boor, "On calculating with B-splines," Journal of Approximation
* _; Q- P2 B4 z: y+ u2 ^9 {, }9 G# z Theory 6 (1972), 50-62.
" w5 x! P+ r/ F+ I- [; g. l# v; d3 M8 L. S( ~
6. R. Courant, "Variational methods for the solution of problems of& Q, O v. r2 w! }* \
equilibrium and vibrations," Bulletin of the American Mathematical 7 N. W8 ]( `; i* U" Y: N
Society 49 (1943), 1-23.( r' s$ l0 t' s+ v2 I4 [
1 f# l5 W3 ]" |( U. c: k8 s7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse8 K- p) ]: h7 @+ t
of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.' \) o, J. p# L" A
' Q; h- B8 x0 B( p& P3 q8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems," h" Z$ O. \5 E5 V
Mathematics of Computation 31 (1977), 333-390.
4 ~! T+ B: L3 I: Y( O* b- {' J# A3 V3 q# a4 ^4 ~& ?0 Y
9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for8 f4 g) ^5 K* [. C
solving linear systems," Journal of Research of the National Bureau of
: ^- V' {0 T$ Y6 {7 F6 p" _ Standards 49 (1952), 409-436.
! Z2 v: i9 _! E. ~4 S! S/ w2 q, |" T. J10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for* \8 f4 u0 k% B2 N8 H0 P
minimization," Computer Journal 6 (1963), 163-168.
1 ?1 _5 M! j* {' l' K; @$ U5 W& S# z; `- m( N. j$ _- n& J
11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
7 v! e7 j! U$ T9 b& T8 L6 E4 W theorems," BIT 18 (1974), 475-489.
& q" z; D. [* y e$ e+ @% ~" X# Z, D0 @' m+ c, a12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
6 x, ^4 y4 y r7 H Combinatorica 4 (1984), 373-395.% X, Q$ c0 K j5 i
1 c* r0 b" n5 D6 {* B
13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
1 L5 h3 F Q5 v, G Journal of Computational Physics 73 (1987), 325-348
8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"/ X4 _1 _& I( i) }
Mathematics of Computation 31 (1977), 333-390.3 l+ e B. i p
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