[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
(1965), 297-301.
$ _/ V; A. q" t. R% Y% H
3 j& S8 X2 e9 O9 s$ A2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
1 [4 e# {1 p" z2 \! M! SDifferenzengleichungen der mathematischen Physik," Mathematische Annalen
9 z3 B. i; g1 |100 (1928), 32-74. Translated as: "On the partial difference equations
$ a+ {% K0 I0 K& K: {/ fof mathematical physics," IBM Journal of Resarch and Development 11
(1967), 215-234.
* ?1 Z0 R- Z% w9 S
+ W) t1 k% X, c' n$ ~3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
! ]  V- ]" k6 o) d3 ^Journal 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.
5 R' D( o3 u1 m' M% e' v
. J) R8 o' l* D) O4 ?) a* U5. C. de Boor, "On calculating with B-splines," Journal of Approximation
Theory 6 (1972), 50-62.
: @1 O0 K/ Y; ~7 H( u5 n" P
6. R. Courant, "Variational methods for the solution of problems of
# B  l- L! [  P" G& wequilibrium and vibrations," Bulletin of the American Mathematical
Society 49 (1943), 1-23.
. H, [0 `1 _. 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.
0 }0 w" S6 P4 K. X) a7 L, k
8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
3 u& l1 m8 F5 S. z' o5 NMathematics of Computation 31 (1977), 333-390.
4 K3 a; M/ M  e0 P
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.

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.
/ Z! n$ x9 Z: Y0 s/ M& T
12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
# ~$ R  B7 p: {0 b4 ?& u: tCombinatorica 4 (1984), 373-395.

13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
# G+ s+ F+ L; B0 w7 Q* rJournal of Computational Physics 73 (1987), 325-348

wangyi

这篇文章版里已经有了.