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FOCM
2011
12 years 8 months ago
2011
FOCM
2011
12 years 8 months ago
2011
The theory of intersection homology was developed to study the singularities of a topologically stratified space. This paper incorporates this theory into the already developed f...
FOCM
2011
12 years 11 months ago
2011
We develop a new mathematical model for describing a dynamical system at limited resolution (or finite scale), and we give precise meaning to the notion of a dynamical system havi...
FOCM
2011
12 years 8 months ago
2011
By definition, transverse intersections are stable under infinitesimal perturbations. Using persistent homology, we extend this notion to a measure. Given a space of perturbatio...
FOCM
2011
12 years 11 months ago
2011
In this paper, we present a numerical technique for performing Lie advection of arbitrary differential forms. Leveraging advances in high-resolution finite volume methods for sca...