[转帖]13篇计算数学经典文献2 Z9 y. j; D9 j. z6 t, a a9 Z
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0 d# c3 Z2 m8 N* t$ n/ }, m标 题: 13篇计算数学经典文献
( h* `4 U6 b- p( s) V8 Y7 Q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
% u" V% s7 N7 U) c calculation of complex Fourier series," Mathematics of Computation 19
( n$ N' q+ p$ _8 J- ^& b (1965), 297-301.
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2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
1 t' u' {) n, J( U$ n Differenzengleichungen der mathematischen Physik," Mathematische Annalen
+ r$ Y7 X( @/ h- w6 b# G8 \ 100 (1928), 32-74. Translated as: "On the partial difference equations
' {! T; Q7 {1 y2 l' X8 L of mathematical physics," IBM Journal of Resarch and Development 11 - C( n& P' ?, S# L( N( \- E
(1967), 215-234.
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3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
" D! o' H& u4 F+ H7 A 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,"7 _5 Q+ @( M2 G
Proceedings of the National Academy of Sciences 38 (1952), 235-243.& k7 ~- |/ V: S: E2 f
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5. C. de Boor, "On calculating with B-splines," Journal of Approximation7 I( }" u$ \; Y& j4 r
Theory 6 (1972), 50-62.7 c& r; t. [ o1 Q4 u7 k- @2 t, ^" v
! c% r U) r e1 j6. R. Courant, "Variational methods for the solution of problems of
' Y/ Y( V$ z8 Z* e; z4 b6 t8 |% A equilibrium and vibrations," Bulletin of the American Mathematical 7 J" G0 t* b% F7 c
Society 49 (1943), 1-23.3 M$ @& A$ ]1 D+ A% u8 m
- a0 J/ R1 L8 \$ \( B' }4 z* Q7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
/ l( T& ~9 v! ] of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224. {0 I2 A, z/ P9 u' `
0 e1 r; i4 R/ ~8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"& h* e! T2 l' m8 } _! s
Mathematics of Computation 31 (1977), 333-390.
M; o; W- F5 r* I3 X$ j# Q, p2 f: a6 ?& Y- e
9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
6 N. D+ w3 }# t6 e$ e6 E l) p solving linear systems," Journal of Research of the National Bureau of
! D' H% l2 C7 W E Standards 49 (1952), 409-436.& ~; x3 c; c2 e- a9 y, L. C6 w
$ T" M6 `4 k3 ]+ W2 V- }" Z10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for3 R4 ?! A! @1 @& _. h# ^! e0 h( q
minimization," Computer Journal 6 (1963), 163-168.
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11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
, A( V- X" t2 y theorems," BIT 18 (1974), 475-489.
) `( P; C! d4 p0 c0 j* z: [( t' W- h x) W' i12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
0 H! Q/ a" n" l' k" s8 M Combinatorica 4 (1984), 373-395.3 I- e i% a! M! Y
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13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"( _9 ~# @7 m0 K8 K
Journal of Computational Physics 73 (1987), 325-348
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