Transactions of the Japan Society for Industrial and Applied Mathematics

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

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Volume 25, Issue 2

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[title in Japanese]

Article type: Cover
2015 Volume 25 Issue 2 Pages Cover1-
Published: June 25, 2015
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.25.2_Cover1

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[title in Japanese]

Article type: Cover
2015 Volume 25 Issue 2 Pages Cover2-
Published: June 25, 2015
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.25.2_Cover2

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[title in Japanese]

Article type: Appendix
2015 Volume 25 Issue 2 Pages App1-
Published: June 25, 2015
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.25.2_App1

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[title in Japanese]

[in Japanese]

Article type: Article
2015 Volume 25 Issue 2 Pages i-
Published: June 25, 2015
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.25.2_i

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High-Dimensional Commuting Polynomial Mappings as Extended Chebyshev Polynomials(Theory)

Masaharu Ishii, Akinori Yoshimoto

Article type: Article
2015 Volume 25 Issue 2 Pages 59-90
Published: June 25, 2015
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.25.2_59

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We extend Chebyshev polynomials to three types of n-dimensional polynomial mappings (C^n→C^n), by defining analogues of m-times angle formulas of trigonometric functions, keeping commutativity and recursion expressions. We prove that two types of them have properties of being systems of eigen functions, orthogonalities and invariances of mapping like original Chebyshev polynomials. However, they do not have completeness as basises of the space of continuous functions. Moreover we state a relation between three types of them and extended Dickson polynomials.

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Stability of the CIP Scheme Applied to Linear Advection Equations(Theory)

Daiki Tanaka, Hiroshi Fujiwara, Takaaki Nishida, Yuusuke Iso

Article type: Article
2015 Volume 25 Issue 2 Pages 91-104
Published: June 25, 2015
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.25.2_91

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The CIP scheme is one of the accurate numerical schemes to solve the Cauchy problems of advection equations, and we show the stability of the scheme. We deal with the scheme applied to the case of ∂/(∂t)u+C∂/(∂x)u=0, and we give a rigorous proof for its weak stability and also show that it is not strongly stable in L^2.

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On Evaluation of Quasi-Periodic Orbits by Chaos Degree(Application)

Kei Inoue

Article type: Article
2015 Volume 25 Issue 2 Pages 105-115
Published: June 25, 2015
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.25.2_105

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The entropic chaos degree is a criterion to measure chaos introduced from the point of view of information theory. It was shown that the criterion gives almost the same evaluation as Lyapunov exponent gives for a chaotic behavior. On the other hand, it might be difficult to distinguish between chaotic and quasi-periodic behaviors only by the criterion. In this paper, I consider how to treat quasi-periodic orbits by using the entropic chaos degree.

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The Evolution of Elliptic Curve Cryptography(Survey)

Katsuyuki Takashima

Article type: Article
2015 Volume 25 Issue 2 Pages 117-133
Published: June 25, 2015
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.25.2_117

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Elliptic curve cryptography was proposed independently by Koblitz and Miller in 1985. Since then, it has evolved into a powerful tool for new applications. Here, I will survey the evolution of elliptic curve cryptography in terms of three central one-way functions, i.e., scalar multiplication, pairing operation, and isogeny sequence computation, and associated Diffie-Hellman type key exchanges.

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[title in Japanese]

Article type: Appendix
2015 Volume 25 Issue 2 Pages App2-
Published: June 25, 2015
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.25.2_App2

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[title in Japanese]

Article type: Appendix
2015 Volume 25 Issue 2 Pages App3-
Published: June 25, 2015
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.25.2_App3

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[title in Japanese]

Article type: Appendix
2015 Volume 25 Issue 2 Pages App4-
Published: June 25, 2015
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.25.2_App4

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[title in Japanese]

Article type: Cover
2015 Volume 25 Issue 2 Pages Cover3-
Published: June 25, 2015
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.25.2_Cover3

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[title in Japanese]

Article type: Cover
2015 Volume 25 Issue 2 Pages Cover4-
Published: June 25, 2015
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.25.2_Cover4

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