[转帖]13篇计算数学经典文献& C' |2 f. [0 I5 Q0 M9 [
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标 题: 13篇计算数学经典文献
) R/ b1 J- x3 }5 f- y发信站: 北大未名站 ?- S3 W. [) j& W, B L1 ]! L
. c; ^, {! n% Q- b+ E2 D! n* |如果谁有的话, 拿出来共享一下吧8 x2 E( |; G& W$ T' p2 D
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1. James W. Cooley and John W. Tukey, "An algorithm for the machine
0 J) k% V$ m ~& c0 Z/ t calculation of complex Fourier series," Mathematics of Computation 19
' y( K S, l$ \8 x- D (1965), 297-301.
9 R. |* h: P/ j; b( z2 r+ W( ^3 \, X' k2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen5 L0 F8 R8 `: ^3 Y1 N: ?2 z
Differenzengleichungen der mathematischen Physik," Mathematische Annalen
6 I" D& _) q- U3 ^4 Z* A: y1 ` 100 (1928), 32-74. Translated as: "On the partial difference equations + B( D9 t6 F8 ^0 c2 ^5 @4 s& k
of mathematical physics," IBM Journal of Resarch and Development 11
6 Q# f. ~, |8 s6 H6 @ (1967), 215-234.6 B5 I: `$ k9 r1 q! A0 e
; W( v4 q% |: H3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
[* y- V5 ^, r- o* g Journal of the Association of Computing Machinery 5 (1958), 339-342.$ i1 q( L1 r9 V9 t6 I
2 o; r7 [4 N) W' u8 _$ T: q4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"; L+ x+ p& S- m- u; J/ i
Proceedings of the National Academy of Sciences 38 (1952), 235-243.
. {5 {, V5 ?* u$ m% X8 |$ w2 a5 f @6 r0 t: a
5. C. de Boor, "On calculating with B-splines," Journal of Approximation0 l: _# K: {1 s. x7 R4 Z. L% W, n+ U) H8 _
Theory 6 (1972), 50-62.3 P) F( `/ S2 x' H+ {4 B
" ~2 ^, o. G( S" D3 J% }9 U, a6. R. Courant, "Variational methods for the solution of problems of2 @. g7 S! r+ U& J0 D( [2 H* D
equilibrium and vibrations," Bulletin of the American Mathematical
/ A6 b9 G9 @3 p' f Society 49 (1943), 1-23.! \$ B* s! c) e) i0 s' x0 F$ Y6 l
8 A, F1 q" }, I2 F
7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
K( d" m1 r" R of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.$ `; S( f; B2 c. n5 g+ |
- k+ l" h/ `( s0 f1 ]4 i8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
8 D; V& t2 G, ]; W; I# v. j! T Mathematics of Computation 31 (1977), 333-390.
* n6 g4 e+ d) ]: @ N: U2 P9 {9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
# q4 e* \3 G3 E8 ], H) K4 q solving linear systems," Journal of Research of the National Bureau of
$ o7 Y5 M) P- x' ~" C Standards 49 (1952), 409-436.
; P# D R4 M' w/ S& ~! h" q0 b( X2 |! G' I2 ?5 h5 n10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
+ ~$ ]4 G; V$ {% 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, j1 t8 S) v0 ^$ q; w6 |
theorems," BIT 18 (1974), 475-489.* o7 `5 B/ a* L& w1 j4 A
6 D0 g: `7 {+ C) I) B- c$ L" m- x12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
4 {2 i x& f& V1 F, ~' t5 b Combinatorica 4 (1984), 373-395.
. G* ?- x5 B/ w2 _& u: q, M) P7 J& m( b/ }) j: g: i S13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
: S/ ^) G9 [. @ Journal of Computational Physics 73 (1987), 325-348
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