Hi there! It's been a busy academic year, and I've been hard at work learning how to balance teaching and research. Two new publications that Bengt Fornberg and I wrote together are now in print (or very soon will be):
Martin, B. and B. Fornberg, Seismic modeling with radial basis function-generated finite differences (RBF-FD) - a simplified treatment of interfaces. Journal of Computational Physics 335 (2017), 828-845.
Martin, B. and B. Fornberg, Using radial basis function-generated finite differences (RBF-FD) to solve heat transfer equilibrium problems in domains with interfaces. Engineering Analysis with Boundary Elements 79 (2017), 38-48.
The former paper improves upon the work we did (with Amik St-Cyr) in modeling seismic waves as they cross from one physical medium into another. The latter applies RBF-FD to the problem of heat transport modeling in the presence of strongly-insulating materials. Both papers draw heavily on my dissertation, so you may not find too much new here if you've already read that.
In addition to these developments I've got a lot of neat stuff in the works, and I'm excited to share it here soon!