[转帖]13篇计算数学经典文献* v: s' J# F- |5 C1 w# M, e% E: o5 i3 G发信人: birdf
$ k& S' W7 Z4 C1 D Z' W" s标 题: 13篇计算数学经典文献 V+ ]+ k1 ?& {
发信站: 北大未名站 5 R/ V S8 c$ i. d& y
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如果谁有的话, 拿出来共享一下吧7 H! |0 v. F2 P1 n& d4 u$ I+ [
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1. James W. Cooley and John W. Tukey, "An algorithm for the machine
! z u, t4 ~/ P) P. B8 k calculation of complex Fourier series," Mathematics of Computation 19
/ P# B8 r+ m( x8 g& m& Q/ i4 h (1965), 297-301.) {% a+ `6 J" M% o; q5 @* r2 }* K
& |- q2 ?$ n7 u, H% r: B
2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
" Z0 P5 Q* C; |' M% D G4 M Differenzengleichungen der mathematischen Physik," Mathematische Annalen/ F0 Y9 t8 W" D' y
100 (1928), 32-74. Translated as: "On the partial difference equations
; p" {9 Y6 a+ U8 \/ h6 ?0 F" r of mathematical physics," IBM Journal of Resarch and Development 11 3 {0 l3 \. K1 F5 G: Z
(1967), 215-234.' Y* p+ I7 O: h2 T' k
7 E7 l+ _+ X7 w' M9 \3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
! x& F! C$ K R: o3 I, u: u Journal of the Association of Computing Machinery 5 (1958), 339-342.
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4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
5 z7 V7 F9 D& C" W" W% Q& s Proceedings of the National Academy of Sciences 38 (1952), 235-243.6 r* }% R3 R8 f( o4 g3 g5 ?* H
! a! q; n) b5 r& g, b( }5. C. de Boor, "On calculating with B-splines," Journal of Approximation" p9 ^% R( s5 x$ z2 M
Theory 6 (1972), 50-62.
6 K+ [+ h5 P5 d9 ]. D. R; v- V l3 F( W2 S% b7 E4 B7 K9 A7 a' R! M* v6. R. Courant, "Variational methods for the solution of problems of
3 H# f' Q& S% U# S* ?2 F equilibrium and vibrations," Bulletin of the American Mathematical " }+ D, F& K% L; G
Society 49 (1943), 1-23.' \$ w1 q5 ?$ E
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7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
" s" v3 p" O/ R* K$ R$ }) U of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224./ r E+ T, q0 O5 d
! |, L- }% a$ Z6 _) I# S8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
8 |0 g, I3 |* L Mathematics of Computation 31 (1977), 333-390.
# L+ ?" e8 ^ s. ]) K2 Z7 C+ E" ~3 V5 Q9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
% R1 N: t. S9 P solving linear systems," Journal of Research of the National Bureau of 6 A* D( I2 }& J! L4 Y2 j; [
Standards 49 (1952), 409-436.% p# s. L9 b( V$ a( z( f: J+ d
8 E+ b5 ~/ @* S$ _" i; D- K10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for+ s z8 C: Y2 M) Q- V) D+ Y
minimization," Computer Journal 6 (1963), 163-168.
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11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
% o9 _7 f1 _, Z1 I: _ theorems," BIT 18 (1974), 475-489.2 {% r# j( C/ l) c% l! V: B
/ P% p* B) Z4 o7 R1 b v2 ^4 u12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
* y! S$ A8 S. r% I Combinatorica 4 (1984), 373-395.
- _3 g: g$ C5 v7 W" ~; y2 t5 a" }: W" _4 ?9 c13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"4 R7 K: v) K K# Y" A$ S- k8 X
Journal of Computational Physics 73 (1987), 325-348
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