CSCI 4446-3 Chaotic Dynamics Explores chaotic dynamics theoreticlaly and through computer simulations. Covers the standard computational and analytical tools used in nonlinear dynamics and concludes with an overview of leading-edge chaos research. Topics include time and phase-space dynamics, surfaces of section, bifurcation diagrams, fractal dimension, Lyapunov exponents. Students use high-performance workstations and a supercomputer. First course in a two-semester sequence.
Students use high-performance workstations and a supercomputer.
Second course in a two-semester sequence. Two-point boundary value problems. Difference schemes for heat and wave equations. CSCI 5636-3 Numerical Solution of Partial Differential Equations Finite difference solution for partial differential equations. Methods of SOR, ADI, conjugate gradients.