[转帖]13篇计算数学经典文献3 i3 V" o$ |, Q8 w/ S& F9 l
发信人: birdf
' _; `. C1 E% j* ` E+ V标 题: 13篇计算数学经典文献
! B. C" t6 I7 h- |! X- d8 n- p- ~发信站: 北大未名站 ' p1 V4 Z; w# s! y# [6 k# ~
0 H* |7 p/ }; p5 N% q如果谁有的话, 拿出来共享一下吧
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1. James W. Cooley and John W. Tukey, "An algorithm for the machine
* [0 O; }$ r; |# O& s( L0 W calculation of complex Fourier series," Mathematics of Computation 19
+ n6 ~* n- P+ q& k4 A% A" ? (1965), 297-301.
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2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen* @, d) Z+ j' w: E- `5 z) E
Differenzengleichungen der mathematischen Physik," Mathematische Annalen% }) i, ]9 J3 I* ~2 R8 c C! P
100 (1928), 32-74. Translated as: "On the partial difference equations
: ?, L4 P- I. F0 A# }8 _4 O of mathematical physics," IBM Journal of Resarch and Development 11
- d8 z! t9 L3 P' L& s2 a2 J% M (1967), 215-234.1 q* q* c6 o3 ]# j7 k
- y- x; _' l6 i3 K3 ^0 p3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"! Y+ f. q7 x% }) T4 D X' u1 H( ^
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,"! K/ E1 h8 o. d: q, V2 r
Proceedings of the National Academy of Sciences 38 (1952), 235-243.; l, x2 A! [% K3 C7 j- L
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5. C. de Boor, "On calculating with B-splines," Journal of Approximation
! E* F! k: |) x Theory 6 (1972), 50-62.8 ~- i2 o1 J. e
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6. R. Courant, "Variational methods for the solution of problems of$ p. I/ K4 T' h3 r0 z: k$ B' L
equilibrium and vibrations," Bulletin of the American Mathematical 1 ?5 I& ^) U# y+ S
Society 49 (1943), 1-23.
& g# f2 M8 o, H: C- c* ?+ ]- G- I$ O6 A! b7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse8 p! Z8 B4 U' |3 ?) H
of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224. m" i5 G3 ~" X" |; y
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8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"0 E" p' n0 ~2 @; p, n8 Z7 c
Mathematics of Computation 31 (1977), 333-390.7 ?" a: d$ Y# ^5 E
7 y/ H% h# c, |( e+ y9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
# r: @0 _! @0 D$ t: @/ b. d solving linear systems," Journal of Research of the National Bureau of % Y! I* R3 [: O( k, @6 Y4 V( ^
Standards 49 (1952), 409-436.
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10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for, W& c) ^) v* [- `% D
minimization," Computer Journal 6 (1963), 163-168.! w1 _4 ~( @6 b0 W- T. H" G
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11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability. c9 G, {* c" }3 ?4 N0 T0 C; [/ z k
theorems," BIT 18 (1974), 475-489.7 ]1 \7 A. U. y3 y. O% ?" a1 _
; w: A# l5 k7 O$ M12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
* d0 r! T) H) _ s; c: w Combinatorica 4 (1984), 373-395.
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13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"7 N% N4 H/ m" }- D5 {, W( h
Journal of Computational Physics 73 (1987), 325-348
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发表于 2004-7-5 22:45
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