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Evolutionary de Rham-Hodge method
[article]
2019
arXiv
pre-print
The de Rham-Hodge theory is a landmark of the 20^th Century's mathematics and has had a great impact on mathematics, physics, computer science, and engineering. This work introduces an evolutionary de Rham-Hodge method to provide a unified paradigm for the multiscale geometric and topological analysis of evolving manifolds constructed from a filtration, which induces a family of evolutionary de Rham complexes. While the present method can be easily applied to close manifolds, the emphasis is
arXiv:1912.12388v1
fatcat:fonugxo6kjgf3o4vz7qmgkompm