[转帖]13篇计算数学经典文献3 W% U$ [! v0 a# t
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标 题: 13篇计算数学经典文献" j9 _) e! `3 E/ m
发信站: 北大未名站
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1. James W. Cooley and John W. Tukey, "An algorithm for the machine
1 }& H6 D, {- z2 y; U calculation of complex Fourier series," Mathematics of Computation 19
( ~6 L2 g1 K& t4 E0 Q (1965), 297-301.
2 x+ h. y1 h2 h* A+ B0 K( w8 ^) i* h+ u2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
, p9 m0 d+ u$ V X4 c& q5 i7 o Differenzengleichungen der mathematischen Physik," Mathematische Annalen$ N3 D' e- t/ _3 E! Y4 n3 c6 K5 x
100 (1928), 32-74. Translated as: "On the partial difference equations . Y! h' j- o# u- ]) a" {' [2 G; h* X
of mathematical physics," IBM Journal of Resarch and Development 11 4 P; Q# ?/ ~( O- t
(1967), 215-234." V4 Q+ |$ P& L, p4 B
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3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"0 i) L, ]: u1 o. p$ ^8 p8 o/ b
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,"4 i0 E8 j+ w5 I" l7 H8 q
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! C! K0 j [" x3 m- u
Theory 6 (1972), 50-62.- L( _1 p( y( x7 J% A
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6. R. Courant, "Variational methods for the solution of problems of4 Q1 k# @; V o- o2 f. Z% ^
equilibrium and vibrations," Bulletin of the American Mathematical
& S2 r' P- O3 M. e+ M Society 49 (1943), 1-23./ |" L# C4 [6 p/ O; Y0 J
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7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse3 o# E9 j% H3 M8 x% a
of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.! G0 r, r# T' J5 Y. m) v! D
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8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"5 y3 C# i% z. g3 D! }
Mathematics of Computation 31 (1977), 333-390.' _. W& e. d$ {. n4 D6 w; `. B
) u# D# z" }' s t' p& c' \9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
1 _9 V6 H$ o# [& ^ solving linear systems," Journal of Research of the National Bureau of
, l1 m* J) l, n q+ @ Standards 49 (1952), 409-436.' W# y( M8 m$ u4 _* @+ w2 g3 E a
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10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for: w: p0 {3 x# {6 h
minimization," Computer Journal 6 (1963), 163-168.
9 V6 Y- @5 u* z3 |* Q: m5 E- q11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
" ^" M; [+ w2 u+ T theorems," BIT 18 (1974), 475-489.
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12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
9 m( s0 w4 j3 y6 U6 }, r Combinatorica 4 (1984), 373-395.( Q" [: C& E8 c( d
* N* J$ w0 N* f. g" `0 y13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,": o+ `$ F9 f2 ^9 F: Z6 K* U5 D
Journal of Computational Physics 73 (1987), 325-348
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