Bulletin of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2432-1982
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Volume 26, Issue 4
Displaying 1-11 of 11 articles from this issue
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  • Inverse Problems for Persistence Diagrams
    Ippei Obayashi
    2016 Volume 26 Issue 4 Pages 7-14
    Published: December 22, 2016
    Released on J-STAGE: March 25, 2017
    DOIhttps://doi.org/10.11540/bjsiam.26.4_7
    JOURNAL FREE ACCESS
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    Persistence homology is an important tool for topological data analysis(TDA), and a persistence diagram is a visualization tool of persistent homology. We can compute the geometric features of the data quantitatively using persistence diagrams. When using persistence diagrams, we often want to know which part of the input data is related to the geometric features shown in the persistence diagram. In this paper, we show some approaches to the problem.

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  • Turbulence in Elastic Waves Governed by Föppl-von Kármán Equation
    Naoto Yokoyama, Masanori Takaoka
    2016 Volume 26 Issue 4 Pages 15-23
    Published: December 22, 2016
    Released on J-STAGE: March 25, 2017
    DOIhttps://doi.org/10.11540/bjsiam.26.4_15
    JOURNAL FREE ACCESS
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    Elastic-wave turbulence has been used for a testbed for the weak turbulence theory, since it can be examined by numerical and laboratory experiments. The elastic-wave turbulence has distinctive characteristics as a wave turbulence system, one of which is the coexistence of the weak and strong turbulence. Recent researches on the elastic-wave turbulence are reviewed, not restricted to the weak turbulence properties, with focusing on energy transfers under large-scale external forcing.

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