Transactions of the Japan Society for Industrial and Applied Mathematics

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

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Volume 23, Issue 1

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[title in Japanese]

Article type: Cover
2013 Volume 23 Issue 1 Pages Cover1-
Published: March 25, 2013
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.23.1_Cover1

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[title in Japanese]

Article type: Cover
2013 Volume 23 Issue 1 Pages Cover2-
Published: March 25, 2013
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.23.1_Cover2

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[title in Japanese]

Article type: Appendix
2013 Volume 23 Issue 1 Pages App1-
Published: March 25, 2013
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.23.1_App1

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[title in Japanese]

[in Japanese]

Article type: Article
2013 Volume 23 Issue 1 Pages A1-
Published: March 25, 2013
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.23.1_A1

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[title in Japanese]

Article type: Appendix
2013 Volume 23 Issue 1 Pages i-x
Published: March 25, 2013
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.23.1_i

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On some Particle Cellular Automata with Stochastic Parameters(Theory)

Hideki Kuwabara, Takatoshi Ikegami, Daisuke Takahashi

Article type: Article
2013 Volume 23 Issue 1 Pages 1-13
Published: March 25, 2013
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.23.1_1

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We consider some systems where the particles move in one-dimensional cites by a probabilistic rule. They are completely discrete systems defined by stochastic cellular automata with 4 neighbors and we can show exactly the fundamental diagram which gives a relation between the density and the mean flux of the system.

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On a Discrete Optimization Approach to the Apportionment Problem(Application)

Tetsuo Ichimori

Article type: Article
2013 Volume 23 Issue 1 Pages 15-35
Published: March 25, 2013
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.23.1_15

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We demonstrate the following: (1) Divisor methods are described by optimization problems in a novel way. (2) We propose a new subclass of divisor methods satisfying a functional equation. (3) Solving the functional equation shows that the new subclass of divisor methods is equivalent to the class of relaxed divisor methods which this author has proposed before.

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Developments of Multi-Dimensional Compact Difference Formulas and Its Calculation Method

Seiichiro Nagoya

Article type: Article
2013 Volume 23 Issue 1 Pages 37-54
Published: March 25, 2013
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.23.1_37

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The aim of this paper is to derivate a compact difference method using multi-dimensional stencils. We report that the implicit LU decomposition for the formula is exactly written. Some convection difference schemes are proposed using the multi-dimensional compact difference method. Numerical experiences are showed to verify the performance of difference schemes proposed in this paper.

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Discrete Differential Geometry of Curves and Surfaces(Survey,<Special Topics>Activity Group "Applied Integrable Systems")

Nozomu Matsuura

Article type: Article
2013 Volume 23 Issue 1 Pages 55-107
Published: March 25, 2013
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.23.1_55

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This is a survey on discrete differential geometry of curves and surfaces. We review a few representatives of discrete curves and surfaces, with emphasis on close connections between both the theories of discrete differential geometry and discrete integrable systems. Especially, we shall develop a variety of topics related to curve motions in two and three-dimensional Euclidean space, with explicit formulae as a unifying theme.

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Discrete Integrable Systems of Hungry Type and Numerical Algorithms for Eigenvalues of Nonsymmetric Matrices : Recent Developments in Integrable Algorithms(Survey,<Special Topics>Activity Group "Applied Integrable Systems")

Akiko Fukuda, Masashi Iwasaki, Yusaku Yamamoto, Emiko Ishiwata, Yoshim ...

Article type: Article
2013 Volume 23 Issue 1 Pages 109-181
Published: March 25, 2013
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.23.1_109

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Some numerical algorithms for computing eigenvalues of nonsymmetric matrix with high accuracy have been recently designed based on the discrete hungry Toda equation and the discrete Lotka-Volterra system which are known as the discrete integrable systems of hungry type. In this paper, not only the process for formulating these algorithms but also the results concerning asymptotic analysis through the center manifold theory, mixed error analysis in floating point arithmetic and shift of origin for accelerating convergence are shortly explained. Backlund transformations between discrete integrable systems of hungry type are also shown.

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[title in Japanese]

Article type: Appendix
2013 Volume 23 Issue 1 Pages App2-
Published: March 25, 2013
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.23.1_App2

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[title in Japanese]

Article type: Appendix
2013 Volume 23 Issue 1 Pages App3-
Published: March 25, 2013
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.23.1_App3

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[title in Japanese]

Article type: Appendix
2013 Volume 23 Issue 1 Pages App4-
Published: March 25, 2013
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.23.1_App4

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[title in Japanese]

Article type: Cover
2013 Volume 23 Issue 1 Pages Cover3-
Published: March 25, 2013
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.23.1_Cover3

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[title in Japanese]

Article type: Cover
2013 Volume 23 Issue 1 Pages Cover4-
Published: March 25, 2013
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.23.1_Cover4

JOURNAL FREE ACCESS

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