[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
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1. James W. Cooley and John W. Tukey, "An algorithm for the machine
- S# |6 Z0 G' \6 }3 z  Y  B; k( A  Icalculation of complex Fourier series," Mathematics of Computation 19
2 h7 W- O7 v& x5 A' w0 ^(1965), 297-301.

6 W5 i. N0 L0 l6 D+ y, S: r2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
Differenzengleichungen der mathematischen Physik," Mathematische Annalen
" A. V7 A% ^6 G- j" l100 (1928), 32-74. Translated as: "On the partial difference equations
& `; @8 f2 O& r8 t+ M( zof mathematical physics," IBM Journal of Resarch and Development 11
, k' W0 e6 Z4 j2 I" ^3 g(1967), 215-234.
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) u$ f6 B2 Y2 W3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
7 r/ s- Y! |* X9 j( }% GJournal of the Association of Computing Machinery 5 (1958), 339-342.
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: Y* `- w# J5 b  s  w4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
- Q2 ?& [& Y  R; A; qProceedings 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
% J/ f! a! w* B' x7 j' H5 RTheory 6 (1972), 50-62.

6 Q8 z) K3 u2 d1 \& h6. R. Courant, "Variational methods for the solution of problems of
' T7 Y; P: {8 Xequilibrium and vibrations," Bulletin of the American Mathematical
Society 49 (1943), 1-23.

$ Z* G) a- e' y) J0 K1 m1 p/ |7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.
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- i' x( b7 B; S8 ^  n3 x9 [8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
Mathematics of Computation 31 (1977), 333-390.

9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
) ]0 ?: O# x. zsolving linear systems," Journal of Research of the National Bureau of
Standards 49 (1952), 409-436.
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: J2 x% V( R1 l0 t) r8 }: S& z& c10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
minimization," Computer Journal 6 (1963), 163-168.

11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
theorems," BIT 18 (1974), 475-489.
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12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
% @4 M2 a+ Q; D- fCombinatorica 4 (1984), 373-395.
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! {; B/ @8 v$ w$ e13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
) V+ ^* i8 a" x( OJournal of Computational Physics 73 (1987), 325-348

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