Projects

1) Direct Solutions of Linear Systems in Electromagnetic Scattering formulated using the Cauchy Integral

The purpose of this project is to formulate algorithms within the Clifford Numerical Suite to invert matrices of the form described in the project file (below). 

2) Support for Dirac Matrix Datatype within the Clifford Numerical Suite

The aim of this project is to implement support for Dirac matrices as a generic datatype within the Clifford Numerical Suite, including all operations which sensibly apply to them. See the project file below.

3) Finite Difference Time Domain Elelctromagnetic Wave Propagation in Two/Three Dimensions on Inifinite Cartesian Grid

The purpose of this project is to implement the FDTD technique in two and/or three dimensions, demonstrating low dispersion in three dimensions. See the project file below.

4) Basis Functions for Traces of Fields in Electromagnetic Field Extension and Scattering using the Cauchy Integral

The purpose of this project is to numerically examine the accuracy of the Cauchy extension using basis functions of different order and with sample points chosen based on the zeros of different functions, such as Legendre or Chebyshev polynomials. See the project file below.

5) The Inverse Electromagnetic Field

The purpose of this project is to investigate the properties of the inverse electromagnetic field to determine either if it can be interpreted in terms of some kind of physical phenomena or, if not, whether there is any other good mathematical use to which it can be applied. See the project file below.