Mathematics Colloquium

Thursday, September 7

Time: 3:35 p.m. — 4:30 p.m.

Location: Science Center Room 323

Tags:  Colloquia, Mathematics, Sciences

Cost:  Free

Speaker: Dr. Catherine Kublik, University of Dayton

Title: An exact numerical scheme for curves with corners in 2D

Abstract: In 2013, Kublik, Tanushev and Tsai proposed an exact integral formulation for calculating integrals over smooth curves (and surfaces) defined implicitly through a level set function. This formulation needs a Jacobian term used to compensate for the change in curvature between two different level sets. In this talk, we focus on the Jacobian term for curves with corners, and prove that a numerical scheme for calculating the Jacobian at a corner is exact. Surprisingly, the proof uses discrete relations involving rising polynomials and Catalan numbers. Joint work with Paul Eloe (University of Dayton).

Refreshments are available at 3:00 PM in SC 313F.

The department colloquia are held every Thursday (excluding holidays) at 3:35 pm in room SC 323 unless otherwise noted. All are invited to attend. 

Contact Information:

Name:  Paul Eloe
Email:  peloe1@udayton.edu