The geometry of convergence in numerical analysis
General Topology
2020-07-02 v2
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.
Cite
@article{arxiv.1909.11183,
title = {The geometry of convergence in numerical analysis},
author = {George W. Patrick},
journal= {arXiv preprint arXiv:1909.11183},
year = {2020}
}
Comments
13 pages, 2 figures. This version is a metadata update only. A revision has been accepted in the Journal of Computational Dynamics