[转帖]13篇计算数学经典文献1 I7 w( e" |% }2 g1 P6 D* v
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& A7 \/ g4 f' x: ~ H4 U* i7 U& o4 G1. James W. Cooley and John W. Tukey, "An algorithm for the machine {$ J2 G4 F; p
calculation of complex Fourier series," Mathematics of Computation 19
; w" z- j9 O# [& {; w9 \ (1965), 297-301.
- k. a% J( v6 D$ G: S M5 J) Z5 b4 _1 F: h% ]2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
. T5 H+ y* T5 `( {0 T Differenzengleichungen der mathematischen Physik," Mathematische Annalen
3 `4 O& o6 {/ s+ a S+ E( g 100 (1928), 32-74. Translated as: "On the partial difference equations ' o7 g* |' k0 C; Z0 d( V; `: Z3 z3 w
of mathematical physics," IBM Journal of Resarch and Development 11
9 R- T4 S( K1 @% P9 A, i3 X* [3 H9 ` (1967), 215-234.
2 e# I k7 C* [1 V9 X2 v: \ m) l4 B: L5 E# J$ w1 I
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& T% W: Y9 `6 q/ w; z p Journal of the Association of Computing Machinery 5 (1958), 339-342.. B; c$ a1 P- C' i& J# o. x. z
/ m, t1 t: l: u* j4 M% _4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"( {$ |% Q' l8 i1 y8 N* P
Proceedings of the National Academy of Sciences 38 (1952), 235-243./ v3 P$ {; X i" k
. m' {( V, P- p5 l5. C. de Boor, "On calculating with B-splines," Journal of Approximation5 e5 o# @. x8 O
Theory 6 (1972), 50-62.) P3 P. P& d I$ o* m
& ]7 `0 B+ h* c. E- r, e6. R. Courant, "Variational methods for the solution of problems of/ z/ y& b+ b) @
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9 B$ G7 P8 N v I Society 49 (1943), 1-23.
# G/ B( ~: z, T, ~6 z8 Q& [, w0 j% c
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. W# A/ l+ D# V4 c of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.
1 \* A, L$ _2 _; k, U3 k1 a- h9 r! s8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
( G* W7 A& V7 }2 B' h' ~/ O Mathematics of Computation 31 (1977), 333-390.
( Z4 E3 S6 P- R$ |. |5 K2 N5 M7 n9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for) O6 c, R( J- e, \8 ?
solving linear systems," Journal of Research of the National Bureau of
3 s+ i' }4 c" U) X9 q2 w: m Standards 49 (1952), 409-436.) B6 E$ K" e0 B2 D: [0 G) j
X; `# _6 f# T- v$ F" v! Q) t
10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for+ x/ m# k0 H* E9 w, B
minimization," Computer Journal 6 (1963), 163-168.. |; Q3 l, f8 i5 f6 b# U- Q- t
+ L" o+ {3 ]2 t7 B1 F8 }4 W
11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability3 b B) A) @% F5 ~( p1 ?( `5 q4 e
theorems," BIT 18 (1974), 475-489.
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12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"# z* T( b. `1 C* x
Combinatorica 4 (1984), 373-395.
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13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"* E+ V0 K1 S8 S* U
Journal of Computational Physics 73 (1987), 325-348
8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"( |0 u$ P5 l3 \+ U" ~7 s' V! K
Mathematics of Computation 31 (1977), 333-390.
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