**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

Tuesday, November 30, 2021 — 1:00 PM EST

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

University of Waterloo

University of Waterloo

43.471468

-80.544205

200 University Avenue West

Waterloo,
ON,
Canada
N2L 3G1

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 centralized within our Office of Indigenous Relations.