Classes

MMAE 517 - Computational Fluid Dynamics (G)

Classification of partial differential equations. Finite-difference methods. Numerical solution techniques, including direct, iterative and multigrid methods, for general elliptic and parabolic differential equations. Numerical algorithms for solution of the Navier-Stokes equations in the primitive-variables and vorticity-streamfunction formulations. Grids and grid generation. Numerical modeling of turbulent flows.

MMAE 508 - Perturbation Methods (G)

Asymptotic series, regular and singular perturbations, matched asymptotic expansions, and WKB theory.  Methods of strained coordinates and multiple scales.  Application of asymptotic methods in science and engineering.

MMAE 501 - Engineering Analysis I (G)

Vectors and matrices, systems of linear equations, linear transformations, eigenvalues and eigenvectors, systems of ordinary differential equations, decomposition of matrices, and functions of matrices. Eigenfunction expansions of differential equations, self-adjoint differential operators, Sturm-Liouville equations. Complex variables, analytic functions and Cauchy-Riemann equations, harmonic functions, conformal mapping, and boundary-value problems. Calculus of variations, Euler's equation, constrained functionals, Rayleigh-Ritz method, Hamilton's principle, optimization and control.