References

1

S. Ulam, Random Processes and Transformation, S. Ulam, Sets, Numbers and Universes, MIT Press: Cambridge, 1974, pp. 326--337.

2

E. Fermi, J. Pasta, and S. Ulam, Studies of Nonlinear Problems, originally in Los Alamos Report LA-1940, 1955, later in S. Ulam, Sets, Numbers and Universes, MIT Press: Cambridge, 1974, pp. 491-501

3

S. Ulam, ``Collected Papers of Enrico Fermi", Vol. 2, University of Chicago Press, 1965.

4

R. Rucker et. al., ``CAPOW!, Version 4.0", software available for free download from http://www.cs.sjsu.edu/capow, 1997.

5

S. Wolfram, Universality and Complexity in Cellular Automata, Physica D, Vol. 10, 1984, pp. 1--35.

6

R. B. Bird et al., ``Dynamics of Polymeric Liquids", Vol. 2: Kinetic Theory, John Wiley and Sons, 1987.

7

R. Courant, K. O. Friedrichs, H. Lewy, Uber die Partiellen Differenzengleichungen der Mathematisches Physik, Math. Ann., Vol. 100, 1928, pp. 32--74.

8

M. G. Crandall, A. Majda, Monotone Difference Approximations for Scalar Conservation Laws, Mathematics of Computation, Vol. 34, no. 149, 1980, pp. 1--21.

9

R. J. LeVeque, ``Numerical Methods for Conservation Laws," Birkhauser Verlag, 1992.

10

B. T. Hayes, Binary Modulated Oscillations in a Semi-discrete Version of Burgers Equation, based on Ph.D. Thesis, Courant Institute of New York University, 1994.

11

S. Ulam, ``Adventures of a Mathematician", University of California Press, 1976.

12

V. E. Zakharov, On Stochastization of One-dimensional Chains of Nonlinear Oscillators, Sov. Phys. JETP, Vol. 38, 1974, pp. 108--110.

13

J. F. Bukowski, The Boussinesq Limit of the Fermi-Pasta-Ulam Equation, Ph.D. Thesis, Brown University, 1997.