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分享 13篇经典应用 数学论文
hylpy1 2015-9-3 21:28
Trefethen's list of 13 classic papers in applied mathematics J.W. Cooley and J.W. Tukey, " An algorithm for the machine calculation of complex Fourier series ," Math. Comp. , 19 (1965), pp. 297–301. R. Courant, K. Friedrichs, and H. Lewy, " On the partial difference equations of mathematical physics ," IBM J. Res. Develop. , 11 (1967), pp. 215–234. A.S. Householder, " Unitary triangularization of a nonsymmetric matrix ," J. Assoc. Comput. Mach. , 5 (1958), pp. 339–342. C.F. Curtiss and J.O. Hirschfelder, " Integration of stiff equations ," Proc. Nat. Acad. Sci. U.S.A. , 38 (1952), pp. 235–243. C. de Boor, " On calculating with B -splines ," J. Approximation Theory , 6 (1972), pp. 50–62. R. Courant, " Variational methods for the solution of problems of equilibrium and vibrations ," Bull. Amer. Math. Soc. , 49 (1943), pp. 1–23. G. Golub and W. Kahan, " Calculating the singular values and pseudo-inverse of a matrix ," J. Soc. Indust. Appl. Math. Ser. B Numer. Anal. , 2 (1965), pp. 205–224. A. Brandt, " Multi-level adaptive solutions to boundary-value problems ," Math. Comp. , 31 (1977), no. 138, pp. 333–390. M.R. Hestenes and E. Stiefel, " Methods of conjugate gradients for solving linear systems ," J. Research Nat. Bur. Standards , 49 (1952), pp. 409–436. R. Fletcher and M.J.D. Powell, "A rapidly convergent descent method for minimization," Comput. J. , 6 (1963/1964), pp. 163–168. G. Wanner, E. Hairer, and S.P. Nrsett, " Order stars and stability theorems ," BIT , 18 (1978), no. 4, pp. 475–489. N. Karmarkar, "A new polynomial-time algorithm for linear programming," Combinatorica , 4 (1984), no. 4, pp. 373–395. L. Greengard and V. Rokhlin, " A fast algorithm for particle simulations ," J. Comput. Phys. , 73 (1987), no. 2, pp. 325–348. 引自:http://web.stanford.edu/class/cme324/classics/
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