[转帖]13篇计算数学经典文献/ D- H# _/ H" E1 w$ q2 }
发信人: birdf 2 d$ @: W3 P e2 n. r) o+ G+ ]
标 题: 13篇计算数学经典文献5 G& \# O5 P* f# k9 ^2 F
发信站: 北大未名站
8 J6 G( A8 {6 l2 y; k3 |, z# g* @: [" i) y如果谁有的话, 拿出来共享一下吧
- L% B$ M7 x" a0 P" T* q1 i# I7 H* Q9 P4 q1. James W. Cooley and John W. Tukey, "An algorithm for the machine
; Y: C( A; r$ o( D/ f7 ^, Q- f calculation of complex Fourier series," Mathematics of Computation 19
5 @& G% b. S1 W6 M- |" j (1965), 297-301.
4 m! b+ ?* Y: d) |# s4 B- I! S& M6 ?6 R; B1 R2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
# x" j/ j1 r* L* W: c Differenzengleichungen der mathematischen Physik," Mathematische Annalen- | t% m7 p6 v4 f
100 (1928), 32-74. Translated as: "On the partial difference equations ) h; n, O+ _. z U, l) b
of mathematical physics," IBM Journal of Resarch and Development 11
9 E9 g7 u) S5 O7 y8 ~& {' H5 C4 L (1967), 215-234.
* ^* J5 P& s' B! V" G/ ~4 O( w" Z: B! ^: [, e" Y5 I
3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
& u7 [* X# d( D. Y0 q9 l* T Journal of the Association of Computing Machinery 5 (1958), 339-342.
) W$ G, ^, q% b" D* E7 }& M( `- m& D7 M7 N; H# R
4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"5 N* o, ]- t* e# N& S8 k
Proceedings of the National Academy of Sciences 38 (1952), 235-243.
+ O) f1 L( f3 W/ N+ B! x Q( [! N" I: Y7 H2 T- D8 F5. C. de Boor, "On calculating with B-splines," Journal of Approximation y) _( k2 X+ `2 ?
Theory 6 (1972), 50-62.
8 ~2 ^' W- x$ {+ w- e, D, x8 @* v @. j/ K# u/ e
6. R. Courant, "Variational methods for the solution of problems of, e ^: F: K: o2 n% W3 g+ @
equilibrium and vibrations," Bulletin of the American Mathematical
+ ^$ I2 S5 g# s! O: C i Society 49 (1943), 1-23.
8 c* |1 v; I, l3 ^0 Y0 Z4 x/ h1 V, O3 n" l3 B; c# |8 z2 W7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
" k+ V- R4 p. r0 E' x5 @- o of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.; n% _) d9 G i! C" y
+ F/ i1 S' d; \
8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,") B6 B0 @) V) j6 Z% z
Mathematics of Computation 31 (1977), 333-390.
: Y9 X6 o: S" t0 A: ~; l" T" y" R: O2 a: t
9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for) m' h }0 R f- W/ s
solving linear systems," Journal of Research of the National Bureau of
: t a+ Q! ?$ T! x# g Standards 49 (1952), 409-436.8 P ^5 t" J" k; i& F; N
! H5 H) G% W2 b3 y! \6 e8 y$ W10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
3 F- p; a8 }) G minimization," Computer Journal 6 (1963), 163-168.
8 m: B/ {' K1 ^3 ?/ T5 M* y/ k1 S+ P
11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
" H' q8 X% W3 l) r0 P+ U theorems," BIT 18 (1974), 475-489.
, h, h4 p/ U5 l! ]1 e1 H( B- h! \, k( |% _12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
9 J$ N" e' \9 L ~ Combinatorica 4 (1984), 373-395.
/ k" ], H- K' |7 T1 l8 F5 B* b% T4 O3 ~( h. C; k" y' v i
13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
4 M6 q, p+ W$ O3 l8 u2 N Journal of Computational Physics 73 (1987), 325-348