[转帖]13篇计算数学经典文献5 s5 [+ |1 o* v发信人: birdf
T9 f$ `" o: {2 K) f ^9 H标 题: 13篇计算数学经典文献
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9 b* v' Q- ^- j9 v1 u) o' [8 p7 s$ p: b7 O% {1. James W. Cooley and John W. Tukey, "An algorithm for the machine. }7 T$ z- e/ h" G8 F0 i
calculation of complex Fourier series," Mathematics of Computation 19! R6 L* |& r1 P7 n
(1965), 297-301.
& z5 _8 T: t# ~2 Q1 U, Q3 k( n4 f. S2 g6 j. Z. R) P3 b; ^" S2. R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen
- ?5 H. w; q2 r Differenzengleichungen der mathematischen Physik," Mathematische Annalen
7 v9 x7 O0 I2 R' m2 J4 P 100 (1928), 32-74. Translated as: "On the partial difference equations : @1 q$ r/ S- Z5 ]: Q- _
of mathematical physics," IBM Journal of Resarch and Development 11 0 ?) a- L. \/ H; W* G4 y3 l
(1967), 215-234.4 t/ [; @' T& C& h0 w
9 B, a' L; _0 d" u3 j$ q9 |; a
3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix,"
\+ p. [' h' s4 W& E9 ^% J+ s Journal of the Association of Computing Machinery 5 (1958), 339-342.; U% w E" t% D U
! a( O( p. w5 w+ F7 {$ K$ _/ d$ q4. C. F. Curtiss and J. O. Hirschfelder, "Integration of stiff equations,"
3 S2 f7 g. o# ]( V Proceedings of the National Academy of Sciences 38 (1952), 235-243., X+ F9 L) s# ]. X1 }
- z+ a% y7 R5 c8 \1 |: h- C+ S0 R5. C. de Boor, "On calculating with B-splines," Journal of Approximation' w( C4 U3 E% n( n
Theory 6 (1972), 50-62.
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6. R. Courant, "Variational methods for the solution of problems of
, Z( d; y( l' j/ ?6 t j7 p+ i9 k equilibrium and vibrations," Bulletin of the American Mathematical 3 M, N: l# O/ Q- {$ e
Society 49 (1943), 1-23.
5 i- h1 q" A2 ^. l8 }, F8 U8 A! W8 X6 i. Y7. G. Golub and W. Kahan, "Calculating the singular values and pseudo-inverse9 ?* i! ?" m6 [) @( ^: U
of a matrix," SIAM Journal on Numerical Analysis 2 (1965), 205-224.9 K9 A$ c! G, e' S+ }0 X" v
* D! n2 k9 B$ y1 t6 O5 l/ n/ a1 \) J
8. A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
0 P! x+ H3 \" P; p6 u- f7 @ Mathematics of Computation 31 (1977), 333-390.
! x1 r/ F8 `: }, M1 p# @2 Y1 C+ ]/ Z+ V: j5 G9 _' c8 b- {9. Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for
2 V; ~6 ~7 ~6 L& K+ L solving linear systems," Journal of Research of the National Bureau of , k3 J- `2 M3 y- A
Standards 49 (1952), 409-436.0 ]1 ?' U+ l6 X8 ]3 |
7 |8 h9 K3 Q. o$ z
10. R. Fletcher and M. J. D. Powell, "A rapidly convergent descent method for+ j) Q. r8 d" Q
minimization," Computer Journal 6 (1963), 163-168.' I3 x K% {; J9 C* T, I
8 e; O; `1 M, g# X0 k, Q11. G. Wanner, E. Hairer and S. P. Norsett, "Order stars and stability( @$ z0 c$ S6 L/ ]
theorems," BIT 18 (1974), 475-489.
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12. N. Karmarkar, "A new polynomial-time algorithm for linear programming,"
2 R1 a, p3 E0 k7 n2 r% P* P Combinatorica 4 (1984), 373-395.: d: O3 E: V- f8 {: s1 `! w3 H3 b
4 \, {+ y8 l7 o0 j13. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations," l* Q- o& U! D9 O6 `! n, @+ c
Journal of Computational Physics 73 (1987), 325-348
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