[转帖]13篇计算数学经典文献

god

13篇计算数学经典文献

% y" Q% B0 f0 ]" [1. James W. Cooley and John W. Tukey, "An algorithm for the machine
calculation of complex Fourier series," Mathematics of Computation 19
; c4 e3 ?3 _5 j# @7 Z# e: c) k(1965), 297-301.
2 z! T" x' N; I0 V0 K" r2 |" p* V
4 x3 |7 W8 b7 y0 S- I5 I2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
Differenzengleichungen der mathematischen Physik," Mathematische Annalen
0 R. `& z. a0 _# x( k, r$ N100 (1928), 32-74. Translated as: "On the partial difference equations
% i: }9 t7 E0 p: M, Uof mathematical physics," IBM Journal of Resarch and Development 11
(1967), 215-234.

7 \' _& x8 {6 U& _, F/ p" Q3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
Journal of the Association of Computing Machinery 5 (1958), 339-342.

: @4 ~( b2 V1 c8 ?3 t* j4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
Proceedings of the National Academy of Sciences 38 (1952), 235-243.
8 ?4 M+ a  h, o9 x+ t2 f% c5 }
3 ?! A5 w& L* ?# i/ g$ c5. C. de Boor, "On calculating with B-splines," Journal of Approximation
Theory 6 (1972), 50-62.
- K4 {5 ~5 w! a, n; w
) t! V* x' j7 f6. R. Courant, "Variational methods for the solution of problems of
# j  \. n6 g" c4 yequilibrium and vibrations," Bulletin of the American Mathematical
) q, P6 z1 s7 B% ]  n$ [Society 49 (1943), 1-23.

7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
, U2 z8 W5 ]+ x2 r+ p' P# zof a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.

5 v+ s: o0 W: w+ S/ Z8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
) K* g9 u( a3 \0 K! [# b6 L$ G7 P( r, @Mathematics of Computation 31 (1977), 333-390.
1 O& C) m$ G7 p
9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
solving linear systems," Journal of Research of the National Bureau of
4 B  F) M% M: C4 W( }* ^Standards 49 (1952), 409-436.
- w' g5 c1 S; u3 @8 J5 o& j
9 p" @) i& @' U7 z! R10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
minimization," Computer Journal 6 (1963), 163-168.

! b2 K! Q# T3 d% H9 y11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
theorems," BIT 18 (1974), 475-489.
1 E% J- L4 k1 h8 G4 N" `
5 z6 z3 H: z, S( H" L2 m# w3 K  x8 @9 u12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
' ]' A# g0 D" ?7 TCombinatorica 4 (1984), 373-395.
9 M& t: I$ I3 ?2 X! K7 I9 @3 a
13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
* v1 I$ ~0 i9 QJournal of Computational Physics 73 (1987), 325-348

wangyi

这篇文章版里已经有了.