Ganesh Swami

I walked into a gold mine: a list of thirteen classic papers in applied math. The webpage has other key papers, but this list should keep me occupied for some time. I’m reproducing the list for my own reference:

• 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.

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