[转帖]13篇计算数学经典文献& X, Y y0 x5 ~8 x4 d' i
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* g: b6 x. y Z- @4 S; ^标 题: 13篇计算数学经典文献( a' L$ q* r! W W/ d7 W! y8 G
发信站: 北大未名站 7 ?+ ~9 _9 k9 [$ `! i3 R& x
* O) S5 R, V- J$ e; t- U* X4 C如果谁有的话, 拿出来共享一下吧+ d- p. ^0 T" W$ }) M0 B4 x
% w: U# V9 S9 z1 B$ K7 H3 Y: x# B1. James W. Cooley and John W. Tukey, "An algorithm for the machine" V1 V1 U& e5 N
calculation of complex Fourier series," Mathematics of Computation 19) ^; b3 a$ C+ _+ u) I! z0 D: A
(1965), 297-301., o* @; X) e& @; r* S
0 O7 U! m. O. b% {: V2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen [6 E, z6 s$ O* k6 M: k4 F
Differenzengleichungen der mathematischen Physik," Mathematische Annalen' s! M+ W( r" @' g6 l0 h
100 (1928), 32-74. Translated as: "On the partial difference equations , ~/ M [ ^. R+ S7 P! a
of mathematical physics," IBM Journal of Resarch and Development 11
0 d( v, Q0 V- b2 v& N (1967), 215-234.4 V5 B: g& _' n: c
. O. `1 p$ g5 I; A' _% A, W2 G4 V3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"* K( Q5 e5 P2 F0 s( S; a
Journal of the Association of Computing Machinery 5 (1958), 339-342., a1 @- o, C/ i7 N" z: Z
% e' ^5 V, I9 F6 B4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
+ V: T* V# ^; p8 L: c; _. r Proceedings of the National Academy of Sciences 38 (1952), 235-243.! K8 k+ J% k) V4 m* J B# D
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5. C. de Boor, "On calculating with B-splines," Journal of Approximation
2 C7 e; ?0 \" ?3 r5 y* y+ M Theory 6 (1972), 50-62.4 @6 a) O2 \2 M* }) Y
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6. R. Courant, "Variational methods for the solution of problems of
, h/ n+ S3 i# L& ~; ` equilibrium and vibrations," Bulletin of the American Mathematical ' q. q$ v0 c3 U: g9 d" i
Society 49 (1943), 1-23.
. l' k0 J9 A0 O2 q2 E# }: ~- r' a! S7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
( H8 r8 J+ B; Z9 R4 Q6 z5 ^ of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.# F2 }* w7 x( }; E
4 f+ Z0 F6 I( Y! W9 s [8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
1 S; f9 c, @& M4 z1 X% O Mathematics of Computation 31 (1977), 333-390.6 }2 I- D* B- L; X2 C6 p+ G
* Q! m5 O. z, j; ^9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
! ?2 f; D) F4 V) l solving linear systems," Journal of Research of the National Bureau of
! V* T4 ^/ P# ]: V( R" { Standards 49 (1952), 409-436.
+ c2 W* W( M% H: m6 Y- z. \0 ]7 X( |* X4 i
10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
& i j2 k( q' T$ L, F0 s2 k2 K minimization," Computer Journal 6 (1963), 163-168.$ }$ M8 E+ a% |5 `: i7 T
2 z+ n; R5 G/ V( S$ a& v" a11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability/ [) ?1 X- C" F( x: q. D
theorems," BIT 18 (1974), 475-489.) y/ M; X+ O2 \% J& ~. D
: V- }% C$ e K5 L12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
0 {/ p/ D2 S; H/ s# J3 J. { Combinatorica 4 (1984), 373-395.: N0 W5 W4 _) `, ]# P% z
! H. ?. P+ y# D1 s13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
7 \+ p0 \4 h! b& D1 z) \) u1 G0 m Journal of Computational Physics 73 (1987), 325-348
8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"& C) t2 X. z) p' Z
Mathematics of Computation 31 (1977), 333-390.
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发表于 2004-7-5 22:45
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发表于 2004-12-6 12:48
