Lectures

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Lecture 1: Computation as a tool for discovery in physics

Lecture 2: Numerical methods for ordinary differential equations

Lecture 3: Introduction to deterministic chaos

Lecture 4: Vibrational normal modes: From glasses to Fermi-Pasta-Ulam problem

Vibrational normal modes in disordered one-dimensional systems

  • P. B. Allen and J. Kelner, Evolution of a vibrational wave packet on a disordered chain, Am. J. Phys. 66, 497 (1998). [PDF]
  • J. Fabian, Decay of localized vibrational states in glasses: A one-dimensional example, Phys. Rev. B 55, R3328 (1997). [PDF]

50th Anniversary of the Fermi-Pasta-Ulam Problem

Lecture 5: Monte Carlo Simulations in Statistical Physics

Lecture 6: Numerical algorithms for time-dependent Schrödinger equation

Lecture 7: Interdisciplinary Topics in Complex Systems