[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

6 q3 T( q* B& D+ M- R& W1. James W. Cooley and John W. Tukey, "An algorithm for the machine
calculation of complex Fourier series," Mathematics of Computation 19
! h% f& c- y% L" `3 S5 a+ t' L(1965), 297-301.
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2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
Differenzengleichungen der mathematischen Physik," Mathematische Annalen
2 n2 Z/ i' i0 K( m( o100 (1928), 32-74. Translated as: "On the partial difference equations
of mathematical physics," IBM Journal of Resarch and Development 11
(1967), 215-234.
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3 \7 j0 [$ K4 a  w/ L; [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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- b8 ~+ \% t0 A% h: q4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
' T& j' y5 o7 u% t+ OProceedings 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.
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. G8 I; v5 o3 I2 q5 U1 }6. R. Courant, "Variational methods for the solution of problems of
equilibrium and vibrations," Bulletin of the American Mathematical
* Y- R$ N/ g: O7 E/ T+ g# GSociety 49 (1943), 1-23.
2 `* ~$ E1 J) }' I/ C' C
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.

, u' X( ~6 }/ u7 o, a, g8 L8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
: H; t$ ^  w9 [/ ]9 \Mathematics of Computation 31 (1977), 333-390.

! y$ i' ~" @/ g" v: @; \9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
, m5 @5 p1 W4 R" G5 I1 d9 P6 Xsolving linear systems," Journal of Research of the National Bureau of
$ Q* c3 [% P2 p: |. z8 S4 n$ F" jStandards 49 (1952), 409-436.
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. u' E) p3 {3 x, z3 L2 f6 U10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
minimization," Computer Journal 6 (1963), 163-168.
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11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
theorems," BIT 18 (1974), 475-489.
2 n' N1 _, X" \, j
7 H* S* O5 `% ^  z  U* x* u9 [12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
  U7 W  x) v5 h8 D0 _4 r- a' YCombinatorica 4 (1984), 373-395.
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13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
$ u. y5 @. L& J5 F- WJournal of Computational Physics 73 (1987), 325-348

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