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arXiv · 1909.11183

The geometry of convergence in numerical analysis

George W. Patrick
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Abstract

The domains of mesh functions are strict subsets of the underlying space of continuous independent variables. Spaces of partial maps between topological spaces admit topologies which do not depend on any metric. Such topologies geometrically generalize the usual numerical analysis definitions of convergence.

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George W. Patrick. 2019-09-20. The geometry of convergence in numerical analysis. https://arxiv.org/abs/1909.11183

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