Numerical linear algebra, eigenvalue problems, optimization problems, and ordinary and partial differential equations. Prereq., APPM 5600 or MATH 5600. Prerequisites: Restricted to Graduate Students ...

Perhaps the most beautiful aspect of mathematics is that it applies to literally everything, even things that do not exist in ...

Abstract: The efficient estimation of an approximate model order is very important for real applications with multi-dimensional low-rank data that may be corrupted by additive noise. In this paper, we ...

Linear algebra is the foundation of science and engineering. Knowledge of linear algebra is a prerequisite for studying statistics, machine learning, computer graphics, signal processing, chemistry, ...

Abstract: In this paper, an effective finite element method is developed and studied for the Maxwell eigenvalue problem with a radial inhomogeneous medium in a ball. The primary idea is to expand the ...