Transactions of the Japan Society for Industrial and Applied Mathematics

Online ISSN : 2424-0982
ISSN-L : 0917-2246

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Volume 22, Issue 4

Displaying 1-19 of 19 articles from this issue

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[title in Japanese]

Article type: Cover
2012 Volume 22 Issue 4 Pages Cover1-
Published: December 25, 2012
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.22.4_Cover1

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[title in Japanese]

Article type: Cover
2012 Volume 22 Issue 4 Pages Cover2-
Published: December 25, 2012
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.22.4_Cover2

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[title in Japanese]

Article type: Appendix
2012 Volume 22 Issue 4 Pages App1-
Published: December 25, 2012
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.22.4_App1

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[title in Japanese]

[in Japanese]

Article type: Article
2012 Volume 22 Issue 4 Pages i-
Published: December 25, 2012
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.22.4_i

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[title in Japanese]

Article type: Appendix
2012 Volume 22 Issue 4 Pages App2-
Published: December 25, 2012
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.22.4_App2

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A Novel Formulation of Flexural Waves on Inhomogeneous Elastic Plates Using Tensor Basis(Theory)

Hatsuhiro Kato, Hatsuyoshi Kato

Article type: Article
2012 Volume 22 Issue 4 Pages 253-267
Published: December 25, 2012
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.22.4_253

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An extension on Kirchhoff-Rayleigh theory for inhomogeneous elastic plate is proposed with respect to the covariance of expressions under the coordinate rotation. The covariance is definitely expressed by tensor basis, which also enables to formulate flexural wave according to the weak form framework and to obtain a generalized expression of the boundary condition and the energy flux.

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Numerical Verification of a Domain Including a Limit Cycle(Theory)

Tomohiro HIWAKI, Nobito YAMAMOTO

Article type: Article
2012 Volume 22 Issue 4 Pages 269-276
Published: December 25, 2012
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.22.4_269

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We propose a numerical verification method for existence and bounds of closed orbits of solutions to ODEs, where the methods for validated computation are adopted. The closed orbit and its period are specified simultaneously using Poicare Map and the Newton method, which allows us simpler implementation than existing methods. A numerical example on the Rossler equation is shown to verify the existence of a closed orbit in practice.

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High-Speed Calculation for Isomorphy of Extensions of a p-adic Field with Magma(Theory)

Shun'ichi Yokoyama, Manabu Yoshida

Article type: Article
2012 Volume 22 Issue 4 Pages 277-286
Published: December 25, 2012
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.22.4_277

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In this paper, we present an efficient algorithm for isomorphy of extensions of a p-adic field. Mainly, we deal with extensions of degree p.

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On Parameter Estimation of the SOV Model Based on Linearity of the Fundamental Diagram(Application)

Koichi Kobayashi, Keisuke Yamazaki

Article type: Article
2012 Volume 22 Issue 4 Pages 287-300
Published: December 25, 2012
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.22.4_287

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Many traffic flow models are proposed for analysis of traffic jams. The fundamental diagram indicating a relation of flux and densities of cars has a phase transition in actual car flow data. A stochastic optimal velocity (SOV) model has been studied well because it expresses the transition. However, parameter tuning is necessary for the transition, and any tuning method has not been established. The present paper proposes statistical parameter estimation based on features of the diagram, and experimentally evaluates the validity.

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Conformal Transformation and Application to Origami Design of Conical Shells(Application)

Sachiko Ishida, Taketoshi Nojima, Takeyuki Kamei, Ichiro Hagiwara

Article type: Article
2012 Volume 22 Issue 4 Pages 301-318
Published: December 25, 2012
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.22.4_301

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In this paper, a new method is shown to obtain developed patterns of conical origami shells from ones of cylinders by using conformal transformation. It enables to design foldable structures systematically, controlling angles among fold lines for maintaining the advanced function of folding and developing at will. Also, it is described the mathematical interrelation of two-dimensional origami patterns between cylinders and conical shells, and advantages on applying the mathematical technique on designs of origami structures. The method is to help us to imagine and model new foldable structures for future.

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A Proposal of Flexible GMRES(k, m) Method with Different Look-Backs in Outer and Inner Iterations

Yusuke Onoue, Seiji Fujino

Article type: Article
2012 Volume 22 Issue 4 Pages 319-340
Published: December 25, 2012
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.22.4_319

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In this paper, we aim at improvement of convergence rate of Flexible GMRES(k) method regarded as one of variants of preconditioned GMRES(k) method. For realization of this purpose, we adopt of separative type of multi-restarts Look-Back GMRES(k, m) method. In outer iteration of the proposed Flexible GMRES(k) method, multi-restarts strategy is used. On the other hand, in its inner iteration, multi inner iterations is used. Through numerical experiments, we verify effectiveness of the proposed Flexible GMRES(k, m) method.

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Error Analysis of the DtN Finite Element Method for the Linear Water Wave Scattering Problem due to Stationary Bodies(Theory,<Special Topics>Activity Group "Scientific Computation and Numerical Analysis")

Daisuke Koyama, Hideyuki Seto

Article type: Article
2012 Volume 22 Issue 4 Pages 341-382
Published: December 25, 2012
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.22.4_341

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An a priori error estimate of the DtN (Drichlet-to-Neumann) finite element method for the linear water wave scattering problem due to bodies without forward speed in a 3D infinite water region with finite depth is established. The estimate accounts for the effects of truncation of infinite Fourier series representing the DtN boundary condition as well as of discretization of the finite element method. To estimate the error due to the truncation, several properties of the Hankel functions and the modihed Bessel functions are demonstrated.

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[title in Japanese]

Article type: Index
2012 Volume 22 Issue 4 Pages A131-A132
Published: December 25, 2012
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.22.4_A131

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[title in Japanese]

Article type: Index
2012 Volume 22 Issue 4 Pages A133-A134
Published: December 25, 2012
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.22.4_A133

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[title in Japanese]

Article type: Appendix
2012 Volume 22 Issue 4 Pages App3-
Published: December 25, 2012
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.22.4_App3

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[title in Japanese]

Article type: Appendix
2012 Volume 22 Issue 4 Pages App4-
Published: December 25, 2012
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.22.4_App4

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[title in Japanese]

Article type: Appendix
2012 Volume 22 Issue 4 Pages App5-
Published: December 25, 2012
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.22.4_App5

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[title in Japanese]

Article type: Cover
2012 Volume 22 Issue 4 Pages Cover3-
Published: December 25, 2012
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.22.4_Cover3

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[title in Japanese]

Article type: Cover
2012 Volume 22 Issue 4 Pages Cover4-
Published: December 25, 2012
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.22.4_Cover4

JOURNAL FREE ACCESS

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