Trefethen's list of 13 classic papers in applied mathematics - Трефетен список 13 классических работ по прикладной математике

https://www.stat.uchicago.edu/~lekheng/courses/302/classics/

Trefethen's list of 13 classic papers in applied mathematics

Трефетен список 13 классических работ по прикладной математике

• 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. Nørsett, "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.

Origin of this list

Contents of this file:

  [1] Trefethen NA-net posting of 9 May 1993
  [2] bibliographic citations for 13 "classic papers"
  [3] longer list of papers we considered reading
  [4] copy of handout to class describing course organization
  [5] weekly assignments

These items are separated by dashed lines.

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       |  Prof. L. N. Trefethen             Phone: (607) 255-4222      |
       |  Dept. of Computer Science           Fax:   "   255-4428      |
       |  Upson Hall, Cornell University                               |
       |  Ithaca, NY 14853-7501             Email: lnt@cs.cornell.edu  |
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[1] Trefethen NA-net posting of 9 May 1993


From: Nick Trefethen 
Date: Thu, 6 May 93 10:36:16 -0400
Subject: Classic Papers in Numerical Analysis