[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

) v7 k. c. q  P' m1 b1. James W. Cooley and John W. Tukey, "An algorithm for the machine
; }. v8 I4 V1 ^' \, @0 B5 t' Pcalculation of complex Fourier series," Mathematics of Computation 19
(1965), 297-301.

2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
* p# t4 K$ N  }  `0 N+ YDifferenzengleichungen der mathematischen Physik," Mathematische Annalen
3 Y7 P8 p& d( H. `1 L( u3 Z% q& ?100 (1928), 32-74. Translated as: "On the partial difference equations
2 A4 h3 x# p1 ~) z: dof mathematical physics," IBM Journal of Resarch and Development 11
7 \; l2 @8 d3 X9 \  K, Z& Z7 _(1967), 215-234.
1 a/ S# b* \& @5 @' L% q: U  W
0 P$ R- D2 N+ r8 a3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
Journal of the Association of Computing Machinery 5 (1958), 339-342.
  x$ F- y$ z" M! p
' |9 M' Z" F$ p2 Z8 G% d4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
Proceedings 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.
3 M6 m/ n( D/ k) i
  f# \7 E0 Q: p6. R. Courant, "Variational methods for the solution of problems of
equilibrium and vibrations," Bulletin of the American Mathematical
Society 49 (1943), 1-23.
% d; M) L/ ^# V& E$ x( V
' A) }0 I+ R) i# c: y& N7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.

8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
$ Z# }8 E* ?  f" ZMathematics of Computation 31 (1977), 333-390.
' x* F7 ^4 }/ J3 X$ Y* M' [4 T
  d" d4 y+ o0 X, N& U+ Y% D; y; o9 d9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
4 h' \5 ^: p. F% e7 e. Vsolving linear systems," Journal of Research of the National Bureau of
; q7 j0 W% N( T" aStandards 49 (1952), 409-436.

10. 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.

' N; {1 ?$ Y+ s4 U12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
8 a" C+ r  H: n/ n0 bCombinatorica 4 (1984), 373-395.

2 j+ ]0 |4 G' N3 B, {13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
Journal of Computational Physics 73 (1987), 325-348

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