[转帖]13篇计算数学经典文献 P3 A7 K& R( d$ ` X& Q( v7 v; x4 H
发信人: birdf * e' F) G" K. C. W5 v
标 题: 13篇计算数学经典文献9 h0 c# }. \, S. d! X
发信站: 北大未名站
6 A+ @# E6 p0 W& X4 P' d9 Y) i- I% w p如果谁有的话, 拿出来共享一下吧& E" v' Z4 _' }
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1. James W. Cooley and John W. Tukey, "An algorithm for the machine
( _+ ?' a. ?% n7 f- d- m% H5 B calculation of complex Fourier series," Mathematics of Computation 191 h9 x7 I _2 P( M! o
(1965), 297-301.
9 I/ c, @7 y7 [2 _0 Z! T( \. O+ q8 W: g2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen; C& L9 o+ y3 N' T4 z' u# |. s; t
Differenzengleichungen der mathematischen Physik," Mathematische Annalen( q' q, i2 } J( D3 |' B: m
100 (1928), 32-74. Translated as: "On the partial difference equations : U1 T* @, ], T# W; s/ d/ s9 ]
of mathematical physics," IBM Journal of Resarch and Development 11 8 A# s8 V8 R0 P& z- m& ]
(1967), 215-234.
7 c- I( H3 R) [+ q; } `& {0 c, Z- s3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"+ Q7 ?3 L/ h! v
Journal of the Association of Computing Machinery 5 (1958), 339-342.0 c# b- w) X# W5 ^& ]9 I6 Y& @
6 y1 O3 j0 s* a* K" a& L4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"6 m. Z, @$ H( J8 ]
Proceedings of the National Academy of Sciences 38 (1952), 235-243.
- x" K# i7 s# R- Y1 p% A9 L) b }7 n: I
5. C. de Boor, "On calculating with B-splines," Journal of Approximation
# V! m5 ?8 z) b) c2 D7 } Theory 6 (1972), 50-62.* N$ C4 q4 U- F: C) C( B* l |
7 m: k* _% Z% U7 \" J( P& l
6. R. Courant, "Variational methods for the solution of problems of
' u2 U! C* l8 {4 a* e7 j equilibrium and vibrations," Bulletin of the American Mathematical
, O4 Y9 p" I9 j2 l ]& p$ j Society 49 (1943), 1-23.; G) |- t7 ?8 G; ~2 ^
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7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
! v: ^" d- v( V' Q& V of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.
; D8 r5 i$ ?! P* Z' d" o, P0 G* q! x" X3 e8 z8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
}" D# f5 [2 { Mathematics of Computation 31 (1977), 333-390.
7 R2 w+ z, b' y% B6 y+ S/ H& A: P$ U. `9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
( w% o6 q h. W0 [2 Y1 e7 ? solving linear systems," Journal of Research of the National Bureau of # S# L/ U2 W& K: J) ?5 S1 W6 G
Standards 49 (1952), 409-436.# ^- O- {& T5 v6 \
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10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for( g0 o- ~4 v8 I8 |- U' U
minimization," Computer Journal 6 (1963), 163-168.
: h2 {. I- Y$ \/ c, w+ a# t2 t+ L. }5 A! Q11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
- j3 ?0 ~5 B8 a* K4 | theorems," BIT 18 (1974), 475-489.
# \7 W* K" c) u+ x3 B* W; c0 |2 l( B9 m# [" C12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"; @, q) B# B" Z9 t" e( C! R6 ]
Combinatorica 4 (1984), 373-395.
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13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,", q" N/ {$ g& Z5 r! [( j
Journal of Computational Physics 73 (1987), 325-348
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