604 Appendix A
[4] J. Stoer and R. Bulirsch,Introduction to Numerical Analysis. New York, Springer Verlag, 1977.
[5] D. Kincaid and W. Cheney,Numerical Analysis. Belmont, CA, Wadsworth, 1991.
[6] D. Greenspan and V. Casulli,Numerical Analysis for Applied Mathematics, Science and
Engineering. Redwood City, CA, Addison-Wesley, 1988.
[7] R. P. Brent,Algorithms for Minimization without Derivatives. Englewood Cliffs, NJ, Prentice-
Hall, 1973.
[8] D. Levesque and L. Verlet, ‘Molecular dynamics and time reversibility,’J. Stat. Phys., 72 (1993),
519–37.
[9] J. Delambre,Mem. Acad. Turin, 5 (1790), 1411.
[10] B. Numerov,Publ. l’Observ. Astrophys. Central Russie, 2 (1933), 188.
[11] D. R. Hartree,Numerical Analysis, 2nd edn. London, Oxford University Press, 1958.
[12] L. M. Milne-Thomson,The Calculus of Finite Differences. London, Macmillan, 1960.
[13] S. Herrick,Astrodynamics, vol. 2. New York, Van Nostrand Reinhold, 1972.
[14] R. S. Varga,Matrix Iterative Analysis. Englewood Cliffs, NJ, Prentice-Hall, 1962.
[15] D. M. Young,Iterative Solution of Large Linear Systems. New York, Academic Press, 1971.
[16] W. Hackbusch and U. Trottenberg, eds.,Multigrid Methods, Berlin, Springer, 1982.
[17] W. Hackbusch,Multigrid Methods and Applications. Berlin, Springer, 1984.
[18] P. Wesseling,An Introduction to Multigrid Methods. Chichester, John Wiley, 1992.
[19] W. L. Briggs,A Multigrid Tutorial. Philadelphia, SIAM, 1987.
[20] H. H. Roomany, H. W. Wyld, and L. E. Holloway, ‘New method for the Hamiltonian formulation
for lattice spin systems,’Phys. Rev. D, 21 (1980), 1557–63.
[21] R. Haydock, V. Heine, and M. J. Kelly, ‘Electronic structure based on the local atomic
environment for tight-binding bands,’J. Phys. C, 5 (1972), 2845–58.
[22] C. G. Paige,, ‘Computational variants of the Lanczos method for the eigenproblem,’J. Inst.
Math. Appl., 10 (1972), 373–81.
[23] J. W. Cooley and J. W. Tukey, ‘An algorithm for the machine calculation of complex Fourier
series,’Math. Comp., 19 (1965), 297–301.
[24] R. J. Higgins, ‘Fast Fourier transform: an introduction with some minicomputer experiments,’
Am. J. Phys., 44 (1976), 766–73.
[25] A. Messiah,Quantum Mechanics, vols. 1 and 2. Amsterdam, North-Holland, 1961.