[转帖]13篇计算数学经典文献

god

13篇计算数学经典文献

5 T) j& w5 X9 H+ \" P1 U1. James W. Cooley and John W. Tukey, "An algorithm for the machine
calculation of complex Fourier series," Mathematics of Computation 19
(1965), 297-301.
( Y$ M$ P* s& }% U
' T5 i9 \6 g$ J% \2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
( Y9 L0 b: K8 x6 KDifferenzengleichungen der mathematischen Physik," Mathematische Annalen
2 F6 @1 D$ F* B1 A4 h100 (1928), 32-74. Translated as: "On the partial difference equations
0 H4 F5 U1 U& x; t/ Oof mathematical physics," IBM Journal of Resarch and Development 11
(1967), 215-234.
, c. o" o, x* ~* a  C8 \
3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
9 i4 Y  Y/ b, ~7 f. z; h8 D& CJournal of the Association of Computing Machinery 5 (1958), 339-342.
* j% \% p7 I8 a/ ]
% q+ c. e; P; c& U2 h  q8 t4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
( L1 B7 E" b9 ?  t* c$ {Proceedings of the National Academy of Sciences 38 (1952), 235-243.
9 A) x, G" R- [
' ?4 P: O: `- C9 q0 K  [' U  h5. C. de Boor, "On calculating with B-splines," Journal of Approximation
Theory 6 (1972), 50-62.
! A! a- X# t* S: R& Q  Q8 R
2 ~+ }1 y( Z3 q/ I1 o- y- v2 F2 k! O6. R. Courant, "Variational methods for the solution of problems of
% j+ ]* \6 l$ \" }9 Pequilibrium and vibrations," Bulletin of the American Mathematical
Society 49 (1943), 1-23.

! B) d* t' a, Q- M; c! v8 c/ c7. 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,"
. A( I6 S) c/ |9 [Mathematics of Computation 31 (1977), 333-390.
- J5 q: K$ V9 |7 p
9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
+ s  J7 I6 D: X( L* Csolving linear systems," Journal of Research of the National Bureau of
( f) t0 K" E6 h# u$ gStandards 49 (1952), 409-436.

10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
+ j$ d4 K* @5 N3 c! Vminimization," Computer Journal 6 (1963), 163-168.
, i6 o8 w& w8 o# V) c. X
; q; h5 m8 g! E# z3 C1 W11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
theorems," BIT 18 (1974), 475-489.

12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
Combinatorica 4 (1984), 373-395.

13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
5 }$ U9 ]4 Y0 p* v1 m6 qJournal of Computational Physics 73 (1987), 325-348

wangyi

这篇文章版里已经有了.