Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 519-888-4567, ext. 32700
Fax: 519-746-4319
PDF files require Adobe Acrobat Reader
For Zoom Link please contact ddelreyfernandez@uwaterloo.ca
Gunilla Kreiss, Uppsala University Department of Information Technology Division of Scientific Computing
Stability and Accuracy for initial-boundary value problems, revisited
Stability and accuracy for a numerical method approximating an initial boundary value problem are inherently linked together. Stability means that perturbations have a bounded effect on the discrete solution, and is usually characterized by a precise estimate in terms of norms. Such an estimate can be directly used to quantify the accuracy of the method. A very convenient and common way to investigate stability, and hence accuracy, is to use the energy method. If this approach fails one may instead attempt to get results after Laplace transforming in time. Such analysis is usually more involved, but sharper results may follow. In this talk we will show examples where it is rewarding to consider the problem in the Laplace domain.
Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 519-888-4567, ext. 32700
Fax: 519-746-4319
PDF files require Adobe Acrobat Reader
The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is co-ordinated within the Office of Indigenous Relations.