Discontinuous Galerkin Methods For One And Two Dimensional Schr odinger Equations
Publisher
The University of Arizona.Rights
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction, presentation (such as public display or performance) of protected items is prohibited except with permission of the author.Abstract
The aim of this study is to solve linear and nonlinear Schrödinger equationswith periodic boundary conditions. To that purpose, we used discontinuous Galerkin method. The optimal order of accuracy for the discontinuous Galerkin method was found to be $O(h^{k+1})$ where $h$ is the mesh spacing and $k$ is the degree of the polynomial expansion used in the study. Our methods showed that discontinuous Galerkin method is reliable and powerful.Type
textElectronic Thesis
Degree Name
M.S.Degree Level
mastersDegree Program
Graduate CollegeMathematics