Numerical solutions of an observability problem for the heat equation
Anglin, Quanna Leah
MetadataShow full item record
In this thesis we will consider numerical solutions to the discrete observability problem of the heat equation with periodic boundary conditions. The problem to be discussed is that of one-dimensional circular geometry, modeled by an insulated ring of wire. It is known that the discrete observability of the heat equation is preserved by two appropriately chosen spatial samples and an infinite set of discrete temporal samples. The main result of this thesis is a numerical examination of this result.