[转帖]13篇计算数学经典文献

god

13篇计算数学经典文献
. T, U! h) ~& J) r2 {
  c, _1 V2 \5 U% P, P+ D! O* c! W$ @1. James W. Cooley and John W. Tukey, "An algorithm for the machine
% h/ a' P+ O/ T" ]4 Gcalculation of complex Fourier series," Mathematics of Computation 19
(1965), 297-301.
+ d2 L+ V  a, l8 z# _
2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
Differenzengleichungen 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
% j; X3 ~9 z" o* X/ H(1967), 215-234.
* J; J2 B4 j# p# c4 |$ ^+ D3 v  Q
3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
Journal of the Association of Computing Machinery 5 (1958), 339-342.

4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
7 `( f7 S. B: H2 M& v* o* nProceedings 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.
$ I/ @  O2 R* C
6. R. Courant, "Variational methods for the solution of problems of
! @# o1 M: N  z8 l+ Qequilibrium and vibrations," Bulletin of the American Mathematical
  @- n2 Z4 p8 d4 O4 U; SSociety 49 (1943), 1-23.

% n3 G: [8 M# M+ u7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
7 o/ R8 u9 K: V* X# Aof a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.
4 O" ~/ `! w% u7 A6 y% D% [# k! I
8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
Mathematics of Computation 31 (1977), 333-390.
. s; u0 J1 O& d/ x
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.

. N6 {! y' w- f8 ~- s/ x; _10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
minimization," Computer Journal 6 (1963), 163-168.

7 Z) }9 q8 d/ N( C11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
theorems," BIT 18 (1974), 475-489.

4 Q$ p# U( X- ~0 s12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
Combinatorica 4 (1984), 373-395.
4 y1 n+ R1 Q* k1 v  d
13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
Journal of Computational Physics 73 (1987), 325-348

wangyi

这篇文章版里已经有了.