Numerical Methods For Aoe

Numerical methods for solving differential equations and optimization problems in aerospace and ocean engineering. Iterative methods for solving systems of linear and nonlinear equations. Rate of convergence. Matrix factorization techniques. Solution of least squares problems. Numerical methods for multivariate unconstrained and constrained optimization. Finite difference method for ordinary and (elliptic, parabolic, and hyperbolic) partial differential equations. Order-of-accuracy and numerical stability analysis. Pre: Graduate standing.