[转帖]13篇计算数学经典文献0 K3 i% O$ g3 ? }( j发信人: birdf
+ b/ T. w+ j: ~" v8 _+ k5 B标 题: 13篇计算数学经典文献; }$ O9 m% m2 C9 O% ^' Q; A
发信站: 北大未名站
4 j8 M( G# [2 z# p# w( J) \# p4 r1 ?4 @' `* P. Q8 ?) F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: g! i1 L: C, ~$ g
calculation of complex Fourier series," Mathematics of Computation 19
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2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
& j$ V) @3 Y! Z! S" d Differenzengleichungen der mathematischen Physik," Mathematische Annalen/ F3 X( H, c( q# M: u( t2 n
100 (1928), 32-74. Translated as: "On the partial difference equations
2 f; r/ y6 z$ K3 |1 f% g of mathematical physics," IBM Journal of Resarch and Development 11 , G" s& `$ B& F7 X& l
(1967), 215-234.* {; j2 v( a2 f! \1 \2 l7 q
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3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
1 a) J+ p& P8 Q5 g, A Journal of the Association of Computing Machinery 5 (1958), 339-342.
0 {! ^3 p" N. y8 d# P% E$ C7 ^* S+ v. C" A" n9 F4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"; ]" }" B9 k( I/ W/ c
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: G- w6 G0 H0 E+ a3 E$ u$ [/ l$ U
Theory 6 (1972), 50-62.$ v+ c+ K2 o, c
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6. R. Courant, "Variational methods for the solution of problems of% Q3 G( i9 G0 x
equilibrium and vibrations," Bulletin of the American Mathematical
8 y! ~, @5 {; S7 q( g! }( T Society 49 (1943), 1-23.
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7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
) ?/ d/ Q1 Q/ t, m of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.1 `% _; v8 |- T! X$ R
. Q) k; Q4 k8 x+ |- D5 o8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"6 m; J4 X; e7 I
Mathematics of Computation 31 (1977), 333-390.$ J4 S& e3 G5 Y/ D. E% N
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9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for$ c O* |$ J: C
solving linear systems," Journal of Research of the National Bureau of
: @5 I3 k1 U- w* g Standards 49 (1952), 409-436.# V) H/ |) v4 z+ c; F
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10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for, N! M7 i" @: g; Z
minimization," Computer Journal 6 (1963), 163-168.4 f H( u& I) u, k. d/ u% d
5 `$ A _) z! B( {) W# Z: l% Z11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
6 t- b8 G& d/ T4 l: a2 R theorems," BIT 18 (1974), 475-489.: M) [. R; `" \( ]$ T
5 B3 w+ c0 D9 J1 O$ k+ {12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"* N& t5 C# c) ~/ Y- U
Combinatorica 4 (1984), 373-395.
1 a" i# @6 B* }: M7 x+ }6 ~3 ?! Z. @6 t7 ~* l% ~8 R13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"! Q5 E# ^0 ?3 u- n- O: H- i" X
Journal of Computational Physics 73 (1987), 325-348
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