## Undergraduate Submissions for the SIAM 2010 Annual Meeting Poster Session

Organizers: Andrew Bernoff, Harvey Mudd College, Rachel Levy, Harvey Mudd College, and Chad Topaz, Macalester College

Undergraduates are invited to participate in the poster session to be held at the 2010 SIAM Annual Meeting in Denver. in Pittsburgh. The poster session is from 8:00 PM – 10:00 PM on Tuesday, July 13, 2010.

Prizes will be awarded to the three best posters demonstrating research done by undergraduates in applied and computational mathematics. Students who have not received a bachelor's degree before January 1, 2010 are eligible.

Submissions should be sent to siamAN2010@gmail.com and must include the following information:

• the undergraduate author(s) name(s), affiliation, email address, title, and abstract for the paper
• the name(s), affiliation, and email address for the faculty advisor (s)
• the abstract (75 words or less) must be submitted in text format (you may use TeX, as in the sample abstract below, if there are math symbols).

The deadline for submission is Saturday, May 1, 2010 Monday, May 31, 2010. Receipt and acceptance of the submissions will be communicated via e-mail by May 5, 2010 June 4, 2010.

A specimen abstract is below:

 Title: An Integro-differential Equation Model for Biological Swarms Authors: Ima Student, Department of Mathematics, Harvey Mudd College (ima@math.hmc.edu) and Johnny Mnemonic, Department of Physics, Macalester College (jm@macalester.com) Advisors: Andrew Bernoff, Department of Mathematics, Harvey Mudd College (ajb@hmc.edu) and Chad Topaz, Department of Mathematics, Macalester College (ctopaz@macalester.edu) Abstract: We explore an integrodifferential equation that models one- dimensional biological swarms. In this model, the swarm motion is determined by pairwise interactions, which in a continuous setting corresponds to a convolution of the swarm density with a pairwise interaction kernel. As the swarm spreads, we show the density $\rho (x,t)$, satisfies a non-linear diffusion equation, $\rho_t = (\rho \rho_x)_x)$,which allows us to predict the approximate shape and scaling of a similarity profile. We verify this prediction numerically.

The undergraduate portion of the poster session is sponsored by the SIAM Education Committee.  Prizes are sponsored by SIAM and MathWorks.  Prizes of \$100 and a copy of MATLAB student edition will be awarded to the best posters demonstrating research done by undergraduates in applied and computational mathematics.

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