[转帖]13篇计算数学经典文献

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13篇计算数学经典文献

/ E8 R- v8 Y( i1. James W. Cooley and John W. Tukey, "An algorithm for the machine
, o! J6 m; i3 ?/ e( y+ c$ Acalculation of complex Fourier series," Mathematics of Computation 19
9 K1 Z9 y6 u  r! x& f9 C(1965), 297-301.

2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
/ H! [; S) s' G, x6 E3 s9 rDifferenzengleichungen der mathematischen Physik," Mathematische Annalen
100 (1928), 32-74. Translated as: "On the partial difference equations
of mathematical physics," IBM Journal of Resarch and Development 11
(1967), 215-234.

3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
Journal of the Association of Computing Machinery 5 (1958), 339-342.
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' C8 |( a9 W7 h( j% K4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
. w+ u) V' |6 s+ ~0 O0 DProceedings of the National Academy of Sciences 38 (1952), 235-243.

5. C. de Boor, "On calculating with B-splines," Journal of Approximation
Theory 6 (1972), 50-62.

6. R. Courant, "Variational methods for the solution of problems of
+ W' j  o$ _" I. k: V4 f6 Oequilibrium and vibrations," Bulletin of the American Mathematical
; V; t" {7 r; mSociety 49 (1943), 1-23.

1 [  u' i; |6 k& g7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
$ Y% f  p- C" }7 O3 t9 T2 mof a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.
& |. _$ q! s/ Z1 H4 x
8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
" ~) l+ b+ k. i8 QMathematics of Computation 31 (1977), 333-390.

9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
solving linear systems," Journal of Research of the National Bureau of
0 B0 y% ^. e; U, O+ O& A( w! o0 }Standards 49 (1952), 409-436.

10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
+ E' i6 Z* X; N7 s6 E, z2 Uminimization," Computer Journal 6 (1963), 163-168.
/ `/ e* h) {2 [" I+ B! ?7 }9 N$ k/ O
11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
/ G9 ^- Q  J- \4 Q& ^2 ~: Ftheorems," BIT 18 (1974), 475-489.
0 Y" x' P' y# F& `
12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
! r) s+ U8 j- u+ e$ Y, _Combinatorica 4 (1984), 373-395.

* a) S  s# I: b" K13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
0 A& S$ ?8 W( [3 gJournal of Computational Physics 73 (1987), 325-348

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