Bulletin of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2432-1982
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Volume 30, Issue 3
Displaying 1-11 of 11 articles from this issue
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  • A Unified Expression of Growth Curves and its Application to Data Analysis
    Mitsuhiro Kimura
    2020 Volume 30 Issue 3 Pages 7-15
    Published: September 24, 2020
    Released on J-STAGE: December 26, 2020
    DOIhttps://doi.org/10.11540/bjsiam.30.3_7
    JOURNAL FREE ACCESS
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    This paper discusses a methodology for a unified expression of several historically-known growth curves inspired by the Box-Cox transformation. After describing how we construct our unified growth curve, we analyze a sample data set to show its flexibility for curve-fitting performance. Also, it is exhibited that our model can extract a tendency of growth via numerical differentiation technique and linear regression scheme. Moreover, as a method of stochastic analysis of a data set, we newly introduc e a nonzero-started counting process that involves our unified growth curve as its mean value function. We also show a numerical illustration for a short-term prediction with confidence limits.

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  • Advances in the Hybrid Bi-CG Methods for Linear Systems
    Kensuke Aihara
    2020 Volume 30 Issue 3 Pages 16-23
    Published: September 24, 2020
    Released on J-STAGE: December 26, 2020
    DOIhttps://doi.org/10.11540/bjsiam.30.3_16
    JOURNAL FREE ACCESS
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    Large sparse linear systems frequently arise in many fields of scientific computing, and therefore, fast and accurate numerical iterative solvers, such as Krylov subspace methods, have been studied in detail over the years. In particular, the hybrid bi-conjugate gradient (Bi-CG) methods belonging to the Krylov subspace methods are extensively used for solving nonsymmetric systems. In the present paper, we introduce basic concepts and recent advances in the hybrid Bi-CG methods, focusing on stabilizing polynomials that distinguish between specific algorithms.

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