[转帖]13篇计算数学经典文献8 u8 V5 G3 p; U( K) n发信人: birdf
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! b0 U2 j& z; G8 P2 f6 ~9 S6 A4 @1 g' b1. James W. Cooley and John W. Tukey, "An algorithm for the machine. `3 O+ [9 s% I1 L; N
calculation of complex Fourier series," Mathematics of Computation 196 {, a" K, R% M6 r5 f, x: t) d
(1965), 297-301.' D6 o, x; G& B' B0 t( J. D
7 V$ [. [% T) a6 Q3 x, V+ T( W7 @% L
2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
$ g1 P8 m4 Y7 E4 ~* u; B Differenzengleichungen der mathematischen Physik," Mathematische Annalen
$ C( |6 s* P* t 100 (1928), 32-74. Translated as: "On the partial difference equations
8 n( k9 a4 G6 e. q& X- _7 J% { of mathematical physics," IBM Journal of Resarch and Development 11
) b( _7 w) e$ m4 [1 O (1967), 215-234.
7 c) B4 y2 V- h6 A( |( { ~# N" ]; {3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"4 \$ K0 t1 t- M: H
Journal of the Association of Computing Machinery 5 (1958), 339-342.
1 B! {4 B7 q2 p$ R$ Q5 g% o2 \0 o( ]4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
% @/ H% ^6 Z+ S5 [2 o& v6 L' L2 b Proceedings of the National Academy of Sciences 38 (1952), 235-243.
, s5 Y- I; q4 U7 k4 G1 g/ q- g7 I. T# ~: d* O0 p; }5 X
5. C. de Boor, "On calculating with B-splines," Journal of Approximation
7 T, F, h& r/ o& ]+ H- e* I$ H$ A* F/ @ Theory 6 (1972), 50-62.
; O4 w+ }* q3 L5 y' ~ E% b9 j, r y5 H ~4 |: q( f6. R. Courant, "Variational methods for the solution of problems of
+ ]/ r. z$ B( ~) c& A$ t equilibrium and vibrations," Bulletin of the American Mathematical
6 ?1 d3 s7 r4 w* T8 ^ Society 49 (1943), 1-23.
6 Q0 D( `% C' t% c# \0 Y( r8 U# x( W: Y4 T, a& y
7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
3 N6 V" V4 c0 I0 Z of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.
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8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"8 q' l* H5 w: h. r4 ~5 D5 l$ ]) _
Mathematics of Computation 31 (1977), 333-390.
3 ]. G+ ~+ ^) p% y5 @) b L Q& U/ P7 ^2 @. y9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
6 c& ^8 M9 I+ ^! { solving linear systems," Journal of Research of the National Bureau of # S+ c2 f- J- X8 v
Standards 49 (1952), 409-436.
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10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for9 j3 \1 [3 b! v- `; z8 d
minimization," Computer Journal 6 (1963), 163-168.
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11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
/ B0 B) h' ^( `, M9 W theorems," BIT 18 (1974), 475-489.5 v% K* p9 S4 Q
8 b1 h" \# s9 @12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
" R7 H+ k8 [; D) {2 {& Y$ Y Combinatorica 4 (1984), 373-395., ^( b- |, A% A: }
1 _5 l% I! O; D7 ^/ }
13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
7 n" A2 [$ m7 X- A$ u Journal of Computational Physics 73 (1987), 325-348
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