On Novel Methods of Integrating Highly Oscillatory Functions

Abstract

By Nathan Catlett, Biochemistry; Mason Hall, Mathematical Sciences; Prasanna Adhikari, Astrophysics & Mathematics

Advisor: Rockford Sison

Presentation ID: 175

Abstract: The integration of rapidly oscillating functions is of interest across a variety of fields. A numerical approach is often the best method for integrating these functions. Our research is focused on finding an efficient method of approximation. The method devised extracts a leading order oscillation via a Taylor polynomial expansion. A comparison of errors is made between the new method and existing methods.