[转帖]13篇计算数学经典文献) {1 r- [1 v' b! C4 V发信人: birdf # n! B: V& W/ Q; M h
标 题: 13篇计算数学经典文献/ {; L7 D# U, V/ Y$ \5 _
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1. James W. Cooley and John W. Tukey, "An algorithm for the machine! B6 P9 ?& y3 J8 T" J2 |
calculation of complex Fourier series," Mathematics of Computation 19
1 t, W# N" p& D' e (1965), 297-301.8 K$ M4 N) }. r/ A3 K' |
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2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
$ j! h- y' O8 y2 i) L Differenzengleichungen der mathematischen Physik," Mathematische Annalen
( O! W8 @7 ^4 p% k 100 (1928), 32-74. Translated as: "On the partial difference equations
' d) T7 p) L) Z+ X, q- C of mathematical physics," IBM Journal of Resarch and Development 11 2 ]8 X. l& ~9 n0 V
(1967), 215-234.
! m. `% u( \% B1 ?6 X2 f1 ?$ U+ R [4 X' X3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix," I7 P+ p6 B9 L( Y+ I% O9 D
Journal of the Association of Computing Machinery 5 (1958), 339-342.( @# k4 [$ [2 H! W
/ W6 O6 w; f* p) K3 n1 H4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"/ q, ]& P' M$ ~7 E
Proceedings of the National Academy of Sciences 38 (1952), 235-243.$ d- l# a; o( u" L: G
y6 L. G. C' l) d8 l1 }, L; ]) L* Q+ J0 K5. C. de Boor, "On calculating with B-splines," Journal of Approximation
% I# p6 B, U; p2 |$ Y1 d' h) U+ [ Theory 6 (1972), 50-62.
2 t5 q+ }/ n+ Y+ V! D# q4 N" U" K7 @8 h% D6 u6. R. Courant, "Variational methods for the solution of problems of
6 W7 k; l) J* }% \# y equilibrium and vibrations," Bulletin of the American Mathematical & F: G% b; u, k" X7 P k8 {
Society 49 (1943), 1-23.
$ J2 D8 \2 c; B8 d, s+ t, A6 n( z. b! }0 @5 D8 z6 y7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse8 ~) Y/ r# D5 U; v# J$ V" D0 W
of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224. G9 ?6 J8 T- y4 V
5 V1 f3 t# D- e; u8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"& A( k2 v) F8 r
Mathematics of Computation 31 (1977), 333-390.
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9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
$ l! u8 C9 y9 \/ W _ solving linear systems," Journal of Research of the National Bureau of 3 K; i- z; s' Q5 e9 r4 S) o& e5 a
Standards 49 (1952), 409-436.( k1 w% C( z7 b
$ \* i3 m9 C. X7 a4 ~- f0 H, N- D1 f10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
! n- ]7 v, u- B E+ Q, [# O X minimization," Computer Journal 6 (1963), 163-168.9 Y# X) } m2 }4 g$ X/ J9 ^: d+ J. K/ S7 F
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11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
, l3 q4 [+ |6 j theorems," BIT 18 (1974), 475-489.
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12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
1 u0 \8 p! y2 B6 v; D8 ?; }, G8 t Combinatorica 4 (1984), 373-395.3 r5 _( W) p6 @3 e2 W! M9 E
7 W* ^& w, N. }13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,") l- {8 n5 u7 w1 j
Journal of Computational Physics 73 (1987), 325-348
8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems," @/ S0 M) c& K9 M( F6 w' o
Mathematics of Computation 31 (1977), 333-390.
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