Excerpt: "Mathematics is a language which can describe patterns in everyday life as well as abstract concepts existing only in our minds. Patterns exist in data, functions, and sets constructed around a common theme, but the most tangible patterns are visual. Visual demonstrations can help undergraduate students connect to abstract concepts in advanced mathematical courses. The study of partial differential equations, in particular, benefits from numerical analysis and simulation."
Harwood, R. Corban, "Steady and Stable: Numerical Investigations of Nonlinear Partial Differential Equations" (2017). Faculty Publications - Department of Mathematics and Applied Science. 21.