[转帖]13篇计算数学经典文献

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13篇计算数学经典文献

# s, m" f9 ~: u1. James W. Cooley and John W. Tukey, "An algorithm for the machine
calculation of complex Fourier series," Mathematics of Computation 19
- o4 W1 c5 @! H( M+ ], A* R7 f(1965), 297-301.

' |: a! `- V; o# @$ w* u2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
Differenzengleichungen der mathematischen Physik," Mathematische Annalen
6 V8 o! a1 |" c9 Z3 ]100 (1928), 32-74. Translated as: "On the partial difference equations
2 n' B3 c' |( fof mathematical physics," IBM Journal of Resarch and Development 11
0 ]" E# I( u9 A(1967), 215-234.

4 }. C7 X, C: M+ d8 ]! W3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
& ^. L7 E- N' o( T/ R1 bJournal of the Association of Computing Machinery 5 (1958), 339-342.
; r- C4 T- h5 c7 D' {9 r
6 d1 R5 W4 H2 y) Q& ?* r; y4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
Proceedings 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.

; ?) |* s  P$ W* M; z# x6. R. Courant, "Variational methods for the solution of problems of
# |7 R  B8 U1 fequilibrium 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
of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.

$ p! x+ O/ Y: k) f; V* d8 L+ T$ C8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
  V9 ?  v1 \! _/ D1 i6 k1 W1 fMathematics of Computation 31 (1977), 333-390.
! B5 w' m8 E0 D; X$ A3 v: [
( l5 P  `- l1 C0 j$ L* u9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
solving linear systems," Journal of Research of the National Bureau of
3 P& Q! X- {0 b) Y( b8 L/ ~2 t- {* PStandards 49 (1952), 409-436.
1 [6 ]: q% r0 {1 k3 e
* u0 j5 o% j: B1 F9 ]% ?+ o" J' }10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for
; d- B, c3 P& q/ V  iminimization," Computer Journal 6 (1963), 163-168.

11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
3 }! @# r7 s( g7 _theorems," BIT 18 (1974), 475-489.

12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
- Z5 M$ e& \) e4 s& ~; NCombinatorica 4 (1984), 373-395.

. _# G. U: Z8 `) a$ M2 ?8 e13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
Journal of Computational Physics 73 (1987), 325-348

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