Transactions of the Japan Society for Industrial and Applied Mathematics

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

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Volume 24, Issue 4

Displaying 1-18 of 18 articles from this issue

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[title in Japanese]

Article type: Cover
2014 Volume 24 Issue 4 Pages Cover1-
Published: December 25, 2014
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.24.4_Cover1

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[title in Japanese]

Article type: Cover
2014 Volume 24 Issue 4 Pages Cover2-
Published: December 25, 2014
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.24.4_Cover2

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[title in Japanese]

Article type: Appendix
2014 Volume 24 Issue 4 Pages App1-
Published: December 25, 2014
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.24.4_App1

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[title in Japanese]

[in Japanese]

Article type: Article
2014 Volume 24 Issue 4 Pages i-
Published: December 25, 2014
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.24.4_i

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[title in Japanese]

Article type: Appendix
2014 Volume 24 Issue 4 Pages App2-
Published: December 25, 2014
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.24.4_App2

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An Automatic and Unified Treatment for the Degeneracy of Geometric Program and its Implementation(Theory)

Shusaku Yamamoto, Toshiyuki Imai

Article type: Article
2014 Volume 24 Issue 4 Pages 307-315
Published: December 25, 2014
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.24.4_307

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In geometrical program, degenerated input needs to be dealt with exceptionally. Since there are large variety of degeneracies, it is difficult to deal with all of those degeneracies individually. Conventional unified treatments for degeneracies require programmers to rewrite a quite amount in each program while what we propose in this paper deals with degeneracies almost automatically avoiding the rewrite of the program in C. For geometric programs in C, we introduce a new class in C++, replace the type of some variables with it and make the programs deal with degeneracies by symbolic perturbation with operator overloading in C++.

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Solitons with Nested Structure over Finite Fields(Theory)

Fumitaka YURA

Article type: Article
2014 Volume 24 Issue 4 Pages 317-336
Published: December 25, 2014
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.24.4_317

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In this paper, we prove the one-soliton solutions to the solitonic dynamical system over finite fields that may be regarded as an analogue of the box-ball systems. It turns out that the one-soliton solution has a nested structure similar to fractals, and as far as we know such a system seems to be novel. Furthermore, in spite of such a complex internal structure, numerical simulations show stable propagations before and after collisions among multiple solitons with preserving their patterns.

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An Algorithm for Rational Interpolation Based on the Krylov Subspace Methods(Theory)

Naoyuki Ohsako

Article type: Article
2014 Volume 24 Issue 4 Pages 337-355
Published: December 25, 2014
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.24.4_337

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Rational interpolation is one of the methods to interpolate the function from the interpolation points on some real interval. In this paper, we propose an algorithm for rational interpolation based on the Krylov subspace methods. The validity of this algorithm is verified by some numerical experiments.

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A Mixture Model for Multi-Species TASEP and its Statistical Clustering(Application)

Keisuke Yamazaki

Article type: Article
2014 Volume 24 Issue 4 Pages 357-372
Published: December 25, 2014
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.24.4_357

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Many mathematical models have been proposed for analysis of traffic jams, and applied to simulation of traffic flow. Grouping cars based on the properties of driving, and then modeling each group eneables us to obtain an appropriate model. The simulation with the model will be more precise than a single model for whole cars. In this paper, we focus on modeling by TASEP, which is the most basic cellular automaton. Applying a multi-species TASEP to spatio-temporal data, we propose statistical clustering methods of cars.

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Extended Floating-Point Filters of 2D Orientation Problem for Real Numbers and its Application to Convex Hull(Practice)

Yuki Ohta, Katsuhisa Ozaki

Article type: Article
2014 Volume 24 Issue 4 Pages 373-395
Published: December 25, 2014
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.24.4_373

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Computed results by floating-point arithmetic may not be accurate due to accumulation of rounding errors. Therefore, verifying the accuracy of the approximate solutions has been frequently discussed. In this paper, we focus on 2D orientation problem (Orient2D) which is one of the basic problems in computational geometry. It is assumed in most previous works that given data is rigorously represented by floating-point numbers. We assume that given floating-point numbers are results of rounding from real numbers. We develop floating-point filters of this problem and apply them to the convex hull algorithm.

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On Mathematical Models of Systemic Risk(Survey,<Special Topics>Activity Group "Mathematical Finance")

Takashi Kato, Suguru Yamanaka

Article type: Article
2014 Volume 24 Issue 4 Pages 397-443
Published: December 25, 2014
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.24.4_397

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Due to recent repeated financial crises, discussions on systemic risk have been activated from both theoretical and practical aspects. Practical policies for preventing worldwide bankruptcy of financial system are examined by regulators and financial institutes, and theoretical studies are also rapidly progressing. In this paper, we review research topics on systemic risk, especially focus on mathematical and theoretical studies. In addition, we give some comments on future prospects of systemic risk management.

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[title in Japanese]

Article type: Index
2014 Volume 24 Issue 4 Pages A139-A140
Published: December 25, 2014
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.24.4_A139

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[title in Japanese]

Article type: Index
2014 Volume 24 Issue 4 Pages A141-A143
Published: December 25, 2014
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.24.4_A141

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[title in Japanese]

Article type: Appendix
2014 Volume 24 Issue 4 Pages App3-
Published: December 25, 2014
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.24.4_App3

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[title in Japanese]

Article type: Appendix
2014 Volume 24 Issue 4 Pages App4-
Published: December 25, 2014
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.24.4_App4

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[title in Japanese]

Article type: Appendix
2014 Volume 24 Issue 4 Pages App5-
Published: December 25, 2014
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.24.4_App5

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[title in Japanese]

Article type: Cover
2014 Volume 24 Issue 4 Pages Cover3-
Published: December 25, 2014
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.24.4_Cover3

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[title in Japanese]

Article type: Cover
2014 Volume 24 Issue 4 Pages Cover4-
Published: December 25, 2014
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.24.4_Cover4

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