Theoretical Numerical Analysis

3 credits · Graduate Programs

Provides the theoretical underpinnings for the analysis of modern numerical methods, covering topics such as linear operators on normed spaces, approximation theory, nonlinear equations in Banach spaces, Fourier analysis, Sobolev spaces and weak formulations of elliptic boundary value problems, with applications to finite difference, finite element and wavelet methods. Prerequisite(s): Admission to a graduate program in Mathematics and Statistics or consent of the Department.