Honors Thesis Presentation: "Physical Applications of Spherical Harmonics and the Development of Geomagnetic Field Modeling"

Speaker: Madison Ihrig, Washington University in Saint Louis

Abstract: Spherical harmonics have long been used to develop models for various problems in physics, ranging from their initial use in studying string vibrations to complex models in heat flow, quantum atomic, and electromagnetic theory. In this thesis, I will give an overview of the progress of spherical harmonic analysis as well as discuss some case studies of its applications. I will focus on the development of geomagnetic field modeling, with a comparison of common numerical methods

Hosts: Victor Wickerhauser, Renato Feres, and Blake Thornton