[转帖]13篇计算数学经典文献* W. L! f; Z' R- z3 ]- g( R( @发信人: birdf
3 J. j9 n' L! X" R$ ]% g7 [标 题: 13篇计算数学经典文献
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1. James W. Cooley and John W. Tukey, "An algorithm for the machine
2 a( Q7 k2 d1 S$ k- F% }6 ~9 B$ N calculation of complex Fourier series," Mathematics of Computation 19' ]) p9 e b) u) n
(1965), 297-301.- k4 P* x+ W3 x
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2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
7 V% t. G( d& ]7 p. z2 ~ Differenzengleichungen der mathematischen Physik," Mathematische Annalen, o/ T. m& ~( }1 E) s8 ?
100 (1928), 32-74. Translated as: "On the partial difference equations + q2 X' j& { V$ u |
of mathematical physics," IBM Journal of Resarch and Development 11 5 n3 g2 i, F* z- `
(1967), 215-234.. S7 v6 s( h- n
' r. [$ ?* k8 P" K* S, [* D K3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
" I$ A J, G8 p) e% u Journal of the Association of Computing Machinery 5 (1958), 339-342.3 \ U1 b5 A' e' k9 K
) F0 A/ U' x) r+ ]
4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,", H' j# D* @ Z( K; }# f
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
O% n0 a0 D- z2 q, b4 \# E Theory 6 (1972), 50-62.
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6. R. Courant, "Variational methods for the solution of problems of) y7 f$ q- e+ ~ v4 F' B
equilibrium and vibrations," Bulletin of the American Mathematical , H1 @3 I) Z/ u4 {0 M) G
Society 49 (1943), 1-23.. |( O4 s0 ~, G; l( A/ v
7 M% T" E; R1 ~7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse. b: n: v6 {$ B: n& b: q
of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.
7 V9 r% H5 F1 L, `4 K+ n; @' g9 p3 ^- ^3 g. X/ v4 J& G1 [$ Q# R- V8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"8 `) B, V- y6 o% v
Mathematics of Computation 31 (1977), 333-390.; {+ o# h( @; M( W
5 K! ^2 u2 h5 O1 B$ @9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
& v( K. C8 h5 H8 w. ?; m solving linear systems," Journal of Research of the National Bureau of
( W7 k9 H- _0 a, P' t, e Standards 49 (1952), 409-436.2 B: Q1 [9 d) D+ N0 x6 ^
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10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for9 `, g6 f8 G F4 _" @, J% J9 V- D( G
minimization," Computer Journal 6 (1963), 163-168.- M! V: D& M0 c4 P
( l: |- n' F: j: M1 X M11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability! w$ G7 P5 |. Z. L- h
theorems," BIT 18 (1974), 475-489.
. {& i4 i$ o. A* C( u) \; X/ ^- x! `) I$ [3 ]% v& Q9 b12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"3 l o% k5 s& l
Combinatorica 4 (1984), 373-395.
9 E7 y i- e) N" t' l6 S0 ^7 B: I) g0 {: R6 p9 ~
13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
, A- F) o! H+ d1 V' ^2 U" ~7 F Journal of Computational Physics 73 (1987), 325-348
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