Title of Oral/Poster Presentation

Computer Toolkit for Integrable Systems

Class

Article

College

College of Science

Faculty Mentor

Ian Anderson

Presentation Type

Poster Presentation

Abstract

The mathematics of integrable systems and soliton equations describe physical behavior in practical applications such as optical fibers and magnetic fields, as well as many other practical applications. My research is expanding this field, and making this mathematics readily useful to engineers, scientists, and mathematicians by creating a software toolkit that will be able to make complex computations for integrable systems and their properties, deriving new operators in the process. This toolkit will provide ready access to integrable systems results for both professionals and non-experts alike. Part of this toolkit is a database of metadata for these integrable systems, some of which is available in the literature. For those properties that are not, I am writing programs to automatically derive these properties from the system itself by using and modifying algorithms laid out in recent research.

Location

The North Atrium

Start Date

4-12-2018 3:00 PM

End Date

4-12-2018 4:15 PM

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Apr 12th, 3:00 PM Apr 12th, 4:15 PM

Computer Toolkit for Integrable Systems

The North Atrium

The mathematics of integrable systems and soliton equations describe physical behavior in practical applications such as optical fibers and magnetic fields, as well as many other practical applications. My research is expanding this field, and making this mathematics readily useful to engineers, scientists, and mathematicians by creating a software toolkit that will be able to make complex computations for integrable systems and their properties, deriving new operators in the process. This toolkit will provide ready access to integrable systems results for both professionals and non-experts alike. Part of this toolkit is a database of metadata for these integrable systems, some of which is available in the literature. For those properties that are not, I am writing programs to automatically derive these properties from the system itself by using and modifying algorithms laid out in recent research.