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Joseph F. Coyle, PhD

Associate Professor

Department Chair

PhD, University of Delaware

Office: Howard Hall, Room 240

Phone: 732-263-5306

Email: jcoyle@monmouth.edu

Fall 2017 Office Hours:

Tuesday: 11:30 a.m. - 12:30 p.m.

and by appointment

Fall 2017 Courses:

Programming and Technology in Mathematics

Research Interests:

My research is in scattering theory, or, more specifically, the scattering of electromagnetic or acoustic waves. Scattering theory can be divided into two categories: forward and inverse. In the forward problem, the main goal is to compute the scattered wave given an incident field and the medium in which the wave travels. In the inverse problem, one tries to determine the object that actually scattered the wave given the incident and scattered field. I tend to concentrate my efforts in the area of numerical analysis, where I mainly focus on the computational aspects of scattering theory. More specifically, I work on finite element methods for the forward problem and regularization/sampling techniques for the inverse problem.

Selected Works:

Scholarly Articles:

(Recent)

  • Overlapping solution finite element method - higher order approximation and implementation}, Appl. Numer. Math., Volume 62, Number 12, pages 1910 - 1924, 2012
  • ILU preconditioning for a Higher Order Finite Element Approximation with a Nonsymmetric Matrix, Conference Proceedings of the 29th Annual Review of Progress in Applied Computational Electromagnetics, Monterey, CA, USA, 2013.
  • High-order discontinuous Galerkin methods for a class of transport equations with structured populations, Comput. Math. Appl., Volume 72, Number 3, pages 768 - 784, 2016.
  • High order DG overlapping solution FEM for the Helmholtz Equation, Book of abstracts for 13th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Minneapolis, Minnesota, USA, pages 97-98, 2017.