|Office Location:||011 Physics Bldg|
|Advisor(s):||J. Thomas Beale|
|Thesis Title:||Numerical Approximation of Layer Potentials Along Curve Segments|
Typical Courses Taught:
|PhD in Mathematics||Duke University||2008|
|MA in Mathematics||Duke University||2004|
|BS in Mathematics, Magna Cum Laude,||University of Delaware||2003|
My research has focused on the evaluation of singular and singular integrals arising from applications in fluids and electromagnetics. In certain applications we may formulate solutions to boundary value problems in terms of boundary integrals which, depending upon the point of evaluation, may be singular or nearly singular resulting in a loss of accuracy in traditional methods for approximating such integrals. My research has focused on using tools of analysis to improve the accuracy of such methods.