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Graph gradient flows : from discrete to continuum
Description
This paper gives a framework to study a continuum limit of a gradient flow on a graph where the number of vertices increases in an appropriate way. As examples we prove the convergence of a discrete total variation flow and a discrete Allen-Cahn flow on discretised tori to their respective continuum limits.
Journal
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- Hokkaido University Preprint Series in Mathematics
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Hokkaido University Preprint Series in Mathematics 1147 1-86, 2022-10-18
Department of Mathematics, Hokkaido University
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Keywords
Details 詳細情報について
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- CRID
- 1390293865787095168
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- DOI
- 10.14943/104493
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- HANDLE
- 2115/86978
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- Text Lang
- en
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- Article Type
- departmental bulletin paper
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- Data Source
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- JaLC
- IRDB
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- Abstract License Flag
- Allowed