Numerical Computation CSCI 3656-3 Numerical Computation Covers development, computer implementation, and analysis of numerical methods for applied mathematical problems. Topics include floating point arithmetic, numerical solution of linear systems of equations, root finding, numerical interpolation, differentiation, and integration. 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.