Date of Award
May 2014
Degree Type
Thesis
Degree Name
Master of Science
Department
Mathematics
First Advisor
Bruce A. Wade
Committee Members
Lei Wang, Istvan G. Lauko
Abstract
Efficient algorithms for solving stiff PDEs are of great interest. For developing such an algorithm step sizes should vary in both space and time. We have to understand each separately first before putting it together, and this thesis is dedicated to developing a sharper notion of the performance of a variable step size BDF2 scheme for some examples. We find suitable parameters for the variable step size algorithm proposed by Jannelli and Fazio in their respective paper concerning adaptive stiff solvers at low accuracy and complexity. Finally, we make a short excursion on the stability of BDF2 for the Allen-Cahn Equation.
Recommended Citation
Denner, Anja Katrin, "Experiments on Temporal Variable Step BDF2 Algorithms" (2014). Theses and Dissertations. 400.
https://dc.uwm.edu/etd/400