[转帖]13篇计算数学经典文献

god

13篇计算数学经典文献

1. James W. Cooley and John W. Tukey, "An algorithm for the machine
calculation of complex Fourier series," Mathematics of Computation 19
  l) C7 B3 ?; S, ?$ Q& m$ O8 Z5 \# I; Y(1965), 297-301.

2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
Differenzengleichungen der mathematischen Physik," Mathematische Annalen
( Y) S4 _, Z& X100 (1928), 32-74. Translated as: "On the partial difference equations
4 k3 n1 V; O0 X5 K- uof mathematical physics," IBM Journal of Resarch and Development 11
( h  v, }) z1 E0 @(1967), 215-234.
$ B% z  `$ f: X; i2 }+ L6 y9 w7 R
) e  k8 j2 j  n- |) x3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
: g1 o  h4 B  J0 L) k' s6 aJournal of the Association of Computing Machinery 5 (1958), 339-342.

4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
Proceedings of the National Academy of Sciences 38 (1952), 235-243.

4 p- d: n. \: _2 M1 m5. C. de Boor, "On calculating with B-splines," Journal of Approximation
Theory 6 (1972), 50-62.

7 V7 r8 d5 W& m' J; F/ D- R# Z* W6. R. Courant, "Variational methods for the solution of problems of
9 U/ u( ~. W. I2 @' L  aequilibrium and vibrations," Bulletin of the American Mathematical
Society 49 (1943), 1-23.

7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
) K1 M" A8 ^1 c' Oof a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.

* @4 x" D1 O  R# s8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
Mathematics of Computation 31 (1977), 333-390.
5 S" B! t; G- ]
9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
solving linear systems," Journal of Research of the National Bureau of
Standards 49 (1952), 409-436.

/ f% R+ q& R; ]( ~8 V10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
minimization," Computer Journal 6 (1963), 163-168.
; M6 D& h' E7 p! f6 F
5 L: p0 f9 h9 V# M2 ?7 X( V11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
& H! t6 f) S% ~: btheorems," BIT 18 (1974), 475-489.
3 B$ X! ^. ]. o# q  H. v
4 Q9 ]7 P) ~( A) V! n12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
Combinatorica 4 (1984), 373-395.

4 |7 q# x3 c, r+ {5 U& x13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
" w, ]: W$ p1 s6 g# T) ~' FJournal of Computational Physics 73 (1987), 325-348

wangyi

这篇文章版里已经有了.