Recent items

A Continuum Three-Zone Model for Swarms.
Work with Jennifer Miller, Allison Kolpas and Plinio Neto in Bulletin on Mathematical Biology where we establish and analyze a self-consistent, continuum model for swarming.

Using Wikis to Promote Active Inquiry in First Semester Calculus, in Teaching with Technology Volume 2: The Stories Continue. A fun project where I engaged students using images to create their own related rates and optimization problems that were a big more inspiring than the problems in text.

Measuring Information Storage and Transfer in Swarms in Proc. Eleventh European Conference on the Synthesis and Simulation of Living Systems (ECAL 2011), Paris, 2011. Published in Advances in Artificial Life, ECAL 2011. Work with Rosalind Wang, Jen Miller, Joseph Lizier and Mikhail Prokopenko on information transfer in swarms.

Slime mold inspired routing protocols for wireless sensor networks.
Work with Ke Li, Claudio Torres, Kyle Thomas and Chien-Chung Shen in Swarm Intelligence where we develop a routing protocol for sensor networks based on slime mold.

Global field interpolation for particle methods.
Work with Lorena Barba in Journal of Computational Physics on field interpolation (replacing one set of particles with another without inducing significant field errors).

Using Global Interpolation to Evaluate the Biot-Savart Integral for Deformable Elliptical Gaussian Vortex Elements.
A paper written with Rodrigo Platte and Travis Mitchell that appeared recently in SIAM Journal on Scientific Computing.

The evolution of Kirchhoff elliptic vortices.
A paper written with Travis Mitchell that appeared recently in Physics of Fluids.

Spring 2012

Math 535: Partial differential equations (honors)

All course materials will be delivered through the UD Sakai server.

Spring 2012 schedule