[转帖]13篇计算数学经典文献. [- N% b8 t% o0 Y! D8 s& f发信人: birdf ; S. u& h9 c0 L. h# x
标 题: 13篇计算数学经典文献! [4 E4 l+ K" q& \8 o* b! r
发信站: 北大未名站
& H( m" s# q* E$ c' T$ n5 m7 f7 F2 S+ ?. g# t* R* S4 @, c) ]如果谁有的话, 拿出来共享一下吧& r4 Y2 Y( H! i
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1. James W. Cooley and John W. Tukey, "An algorithm for the machine
: h& r! ^5 I F) O3 [ calculation of complex Fourier series," Mathematics of Computation 19
. i) }0 y9 A( y/ R7 ?( t: P4 V/ |. Y (1965), 297-301." f6 X8 x/ M9 g; q
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2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen4 M4 T0 o( _$ m/ ]# l
Differenzengleichungen der mathematischen Physik," Mathematische Annalen
f& o7 q8 X( g 100 (1928), 32-74. Translated as: "On the partial difference equations 1 L6 }" F0 T) u* T/ E& s
of mathematical physics," IBM Journal of Resarch and Development 11 - P9 k& o3 N9 O+ `4 e( c! A3 @$ s
(1967), 215-234.4 \1 ]9 Y& v/ B" `( a h
9 L/ a' J* f. V5 R3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
9 R2 S0 c5 R( X7 V5 n, `0 o Journal of the Association of Computing Machinery 5 (1958), 339-342.; }+ A. ?5 M3 o( S( C2 E
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4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
1 B/ } D( w. y2 a' q$ w S5 k( z& V Proceedings of the National Academy of Sciences 38 (1952), 235-243.
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5. C. de Boor, "On calculating with B-splines," Journal of Approximation% n% ^( T8 u9 v C& n9 @
Theory 6 (1972), 50-62.+ [* _; K) k( i- }1 a$ s! U8 \9 s
0 q& [' f) R7 v8 [1 f' k3 b" c+ c) k& q6. R. Courant, "Variational methods for the solution of problems of4 v6 U" U7 ~+ ?* d/ U8 ]' z
equilibrium and vibrations," Bulletin of the American Mathematical
, S$ b. |4 n/ W3 d Society 49 (1943), 1-23.5 t3 s7 o I& z e9 h; ?! W
- S& p0 z( T( g! p4 N$ `# G+ s) C7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
0 u4 x5 V/ F6 k; r of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.3 _' m3 \* q5 p% t1 |& r1 F
9 E" \0 |% j5 n. M1 Q0 S5 a8 i
8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"2 P! j: S$ q6 S' j3 w
Mathematics of Computation 31 (1977), 333-390.
1 X1 ]) }3 `0 f7 M& [( Q% D$ e5 _" H5 _2 V2 e' @4 o
9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
/ u5 l+ Z( `: q @ solving linear systems," Journal of Research of the National Bureau of + f4 ]. R8 ~+ }1 m4 E0 ~& i% s+ y
Standards 49 (1952), 409-436.
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10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for) @, R8 ?1 B6 S8 M d( g1 h9 k# H) E
minimization," Computer Journal 6 (1963), 163-168.
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11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability6 M% \5 d2 @; ~( X4 P [: a
theorems," BIT 18 (1974), 475-489.
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12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"0 p+ H M2 ~; @8 n# Q6 j7 x& C# j2 Q! p
Combinatorica 4 (1984), 373-395.
; U" j8 C" S% N1 R; r1 w* s9 N+ C9 c( v: _* k13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"" N+ I3 }: B6 G' c
Journal of Computational Physics 73 (1987), 325-348
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发表于 2004-7-5 22:45
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