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Papers, Manuscripts, etc.

Meshing

IMR 14 (2005.09)
Work with Noel Walkington on Delaunay Refinement for Curved Boundaries.
IMR 13 (2004.09)
Work with Noel Walkington on the robust 3D Delaunay Refinement Algorithm.
IMR 12 (2003.09)
Poorly titled as When and Why Ruppert's Algorithm Works, this paper is a brief yet nearly complete exposition on the guts of the 2D Delaunay Refinement Algorithm, and why it works like it does.
thesis (2003.05)
My doctoral thesis from Carnegie Mellon. This includes work on the 2D Delaunay Refinement Algorithm, termination, input and output conditions, and a twist on Scott Mitchell's optimality results.
IMR 11 (2002.09)
A paper on how to implement Ruppert's Algorithm incrementally. Not the best banana in the bunch.
gamm 17 (2001.02)
A little snippet on Ruppert's Algorithm and Delaunay Refinement.

Geometry

CCCG 16 (2004.08)
A conference paper about angle bounds in triangulations. This is a distillation of a chapter of my thesis. It is an alteration of a work by Scott Mitchell.

Numerical Analysis

Numerical Methods Course Notes (2003--)
What started as daily course notes in a numerical methods course blossomed into a manuscript now standing in for the course textbook. only the classical topics are covered. last updated oct 13, 2005.