[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

) J7 z/ Z3 l' d5 R  s1. James W. Cooley and John W. Tukey, "An algorithm for the machine
4 O7 ^6 O& C' ~3 ]/ V8 h: `  ?! E9 [calculation of complex Fourier series," Mathematics of Computation 19
' M7 d& b0 W9 j2 e: s(1965), 297-301.

) O9 f6 Q& \2 d6 K2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
Differenzengleichungen der mathematischen Physik," Mathematische Annalen
, Z& }9 c$ W  F/ ]100 (1928), 32-74. Translated as: "On the partial difference equations
  t% b% c5 k. i, }  F& T+ Wof mathematical physics," IBM Journal of Resarch and Development 11
(1967), 215-234.

3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
) s, ?" B. l0 @! I/ vJournal of the Association of Computing Machinery 5 (1958), 339-342.
; z$ t* |! O, c* X
0 J5 h/ D. ?- {+ I6 T  V4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
& |9 |2 X0 W6 G5 [Proceedings of the National Academy of Sciences 38 (1952), 235-243.
9 C6 ^- P5 U8 \: w. \. C' O) q
0 _% z, U, L% f; @0 [5. C. de Boor, "On calculating with B-splines," Journal of Approximation
Theory 6 (1972), 50-62.
' @7 {% w& ^: j; x
( Q9 `5 I0 C1 V) ^, r! J" q7 W6. R. Courant, "Variational methods for the solution of problems of
2 N0 k4 A  j4 |8 _  g9 N! Requilibrium and vibrations," Bulletin of the American Mathematical
5 }3 l- |9 j8 \/ t6 y. w  JSociety 49 (1943), 1-23.

7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse
9 a! B* |9 t9 \4 W3 d% s( O/ Yof a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.

8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
' v6 `6 r5 E, f- F! vMathematics of Computation 31 (1977), 333-390.
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9 k' b9 @& ?# F( R9 d/ S7 Q9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
# U7 ?! T* f$ d7 y  \5 T1 ~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
# O) j+ h- E9 ]2 I, ]minimization," Computer Journal 6 (1963), 163-168.
7 Y. O! d7 A: c& A3 I/ ^; G5 X1 k$ Q+ Y5 `
11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability
theorems," BIT 18 (1974), 475-489.

. V, ?3 e! K& V12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
/ _0 ]/ W; j' B) m9 a3 W6 P5 C% `Combinatorica 4 (1984), 373-395.

4 ^2 l5 t! P4 {13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations,"
2 k( g4 C+ l- w! K6 O  QJournal of Computational Physics 73 (1987), 325-348

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