Error estimates for finite difference approximations to the wave equation

Author

Christos N. Mazis

Date of Award

8-1981

Degree Type

Thesis

Degree Name

Master of Science

Major

Mathematics

Major Professor

Vassilios A. Dougalis

Committee Members

Max D. Gunzburger, Steven M. Serbin

Abstract

In this thesis we consider the approximation of the solution of the wave equation in two dimensional rectangles by three finite difference methods, two of which are of second order of accuracy and one of fourth order of accuracy. We prove, using energy methods, stability and convergence of the difference schemes in the discrete ℓ₂-norm under suitable restrictions on their Curant number.

Recommended Citation

Mazis, Christos N., "Error estimates for finite difference approximations to the wave equation. " Master's Thesis, University of Tennessee, 1981.
https://trace.tennessee.edu/utk_gradthes/15248