Transactions of the Japan Society for Industrial and Applied Mathematics

[title in Japanese]

Article type: Cover
2011 Volume 21 Issue 1 Pages Cover1-
Published: March 25, 2011
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.21.1_Cover1

JOURNAL FREE ACCESS

Download PDF (22223K)
[title in Japanese]

Article type: Cover
2011 Volume 21 Issue 1 Pages Cover2-
Published: March 25, 2011
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.21.1_Cover2

JOURNAL FREE ACCESS

Download PDF (22223K)
[title in Japanese]

Article type: Appendix
2011 Volume 21 Issue 1 Pages App1-
Published: March 25, 2011
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.21.1_App1

JOURNAL FREE ACCESS

Download PDF (33K)
[title in Japanese]

[in Japanese]

Article type: Article
2011 Volume 21 Issue 1 Pages i-
Published: March 25, 2011
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.21.1_i

JOURNAL FREE ACCESS

Download PDF (169K)
[title in Japanese]

Article type: Appendix
2011 Volume 21 Issue 1 Pages App2-
Published: March 25, 2011
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.21.1_App2

JOURNAL FREE ACCESS

Download PDF (552K)
The Construction of an Orthogonal Complex Wavelet Transform with the Fast Fourier Transform Based on the Perfect Translation Invariance Theorem(Theory)

Hiroshi Toda, Zhong Zhang, Takashi Imamura

Article type: Article
2011 Volume 21 Issue 1 Pages 1-24
Published: March 25, 2011
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.21.1_1

JOURNAL FREE ACCESS

Show abstractHide abstract

In this paper, the perfect translation invariance theorem is proved, which gives the condition of the perfect translation invariance for complex discrete wavelet transforms of an arbitrary complex square integrable function. Next, by using this theorem, the existence of an orthogonal complex wavelet basis on the classical Hardy space is confirmed. Finally, by extending the perfect translation invariance theorem to the case of using the discrete Fourier transform, the orthogonal complex wavelet transform with this wavelet basis is approximated by the orthogonal decomposition constructed with the fast Fourier transform.

View full abstract

Download PDF (1874K)
A Study on Reciprocity Phase for Prisoner's Dilemma Game by a Quadruple Co-evolutionary Model(Theory)

Jun Tanimoto

Article type: Article
2011 Volume 21 Issue 1 Pages 25-36
Published: March 25, 2011
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.21.1_25

JOURNAL FREE ACCESS

Show abstractHide abstract

A quadruple co-evolutionary model for 2×2 Prisoner's Dilemma game is presented. The model allows agents adapting not only strategy (whether Cooperation; C or Defection; D) and network topology but also link rewiring probability that controls the speed of network evolution and updating rule itself. The results of a series of simulations revel that C-agents in a co-existing phase make their rewiring probability increase to avoid neighboring D-agents's exploitation by means of the so-called Exiting Game option. And the evolutionary process leads that most of the agents adapt Pairwise updating even though Imitation Max updating adopted by all the agents bringing higher payoff.

View full abstract

Download PDF (1380K)
Numerical Verification of ordinary differential equations using Affine Arithmetic and Mean Value Form(Theory)

Keiichiro Kashiwagi, Masahide Kashiwagi

Article type: Article
2011 Volume 21 Issue 1 Pages 37-58
Published: March 25, 2011
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.21.1_37

JOURNAL FREE ACCESS

Show abstractHide abstract

When we solve IVPs of ODEs with guaranteed accuracy, we have some problems about explosion of interval width and calculating cost, especially in the case of ODEs which is sensitive with initial value such as Lorenz equation. In this paper, we propose an accurate and fast method for IVPs using power series arithmetic, mean value form and affne arithmetic. Moreover, we show the efficiency of our method through some numerical examples and comparison with Lohner's AWA package.

View full abstract

Download PDF (1241K)
Transitions of Flows Induced by Small Fans on Water Surface(Application)

Takashi Nakazawa

Article type: Article
2011 Volume 21 Issue 1 Pages 59-71
Published: March 25, 2011
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.21.1_59

JOURNAL FREE ACCESS

Show abstractHide abstract

In this paper, structures and linear stabilities of flow fields driven by small fans are investigated for water improving in closed water areas. The upper boundary condition represents an azimuthal velocity forced by the small fan near the surface. By linear stability analyses, flow fields of wave number one are observed over Re=2200.

View full abstract

Download PDF (975K)
Approximate Computation for Posterior Distribution with Parameter Correlation Using Variational Bayes(Application)

Yusuke Yamaguchi, Hiroyuki Okamura, Tadashi Dohi

Article type: Article
2011 Volume 21 Issue 1 Pages 73-88
Published: March 25, 2011
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.21.1_73

JOURNAL FREE ACCESS

Show abstractHide abstract

Variational Bayes (VB) is an approximate method in the Bayesian estimation for parametric models, and provides analytical forms for the posterior distributions. However, since it cannot express essentially parameter correlations in approximate posterior distributions, this is the drawback of VB approach in terms of interval estimation. In this paper, we relax the assumption on the posterior distributions in the VB context, and develop a new VB scheme that can express the posterior distribution with parameter correlation.

View full abstract

Download PDF (1334K)
An Exact Analysis of Rank Attacks I(Application)

Kohtaro Tadaki, Shigeo Tsujii

Article type: Article
2011 Volume 21 Issue 1 Pages 89-102
Published: March 25, 2011
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.21.1_89

JOURNAL FREE ACCESS

Show abstractHide abstract

Between 2000 and 2005 Kasahara and Sakai proposed the multivariate public key cryptosystems RSE(2)PKC and RSSE(2)PKC whose central maps have a step-wise structure. In 2004, Wolf, Braeken, and Preneel proposed an attack, called the rank attack, against these cryptosystems, which is based just on the step-wise structure. In this paper, we perform an exact analysis of the rank attack for evaluating its validity. We reveal that some property on the calculation of the rank, which is assumed implicitly in the rank attack, does not necessarily hold. Thus we show that the rank attack is not a generic attack against these cryptosystems.

View full abstract

Download PDF (1023K)
Continuous Equality and Symmetry in Apportionment Methods and Global Optimization

Tetsuo Ichimori

Article type: Article
2011 Volume 21 Issue 1 Pages 103-124
Published: March 25, 2011
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.21.1_103

JOURNAL FREE ACCESS

Show abstractHide abstract

The aims of this paper are first to review apportionment methods and second to develop a new class of apportionment methods from the view point of global optimization. The class includes the methods of Webster, Hill, and Theil, but not those of Adams, Jefferson, and Dean. We study the symmetries of five methods of apportionment in this class.

View full abstract

Download PDF (1973K)
Mean-square and Asymptotic Stability of the Stochastic Heun Method

Yoshihiro Saito

Article type: Article
2011 Volume 21 Issue 1 Pages 125-134
Published: March 25, 2011
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.21.1_125

JOURNAL FREE ACCESS

Show abstractHide abstract

The stochastic Heun method is an explicit numerical method for stochastic differential equations. We consider a scalar linear test equation with multiplicative noise for Stratonovich equation, and present mean-square and asymptotic stability analysis of numerical methods for the test equation. Stochastic Heun and Milstein methods are studied, and some results are given.

View full abstract

Download PDF (726K)
[title in Japanese]

Article type: Appendix
2011 Volume 21 Issue 1 Pages App3-
Published: March 25, 2011
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.21.1_App3

JOURNAL FREE ACCESS

Download PDF (92K)
[title in Japanese]

Article type: Appendix
2011 Volume 21 Issue 1 Pages App4-
Published: March 25, 2011
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.21.1_App4

JOURNAL FREE ACCESS

Download PDF (92K)
[title in Japanese]

Article type: Cover
2011 Volume 21 Issue 1 Pages Cover3-
Published: March 25, 2011
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.21.1_Cover3

JOURNAL FREE ACCESS

Download PDF (38K)
[title in Japanese]

Article type: Cover
2011 Volume 21 Issue 1 Pages Cover4-
Published: March 25, 2011
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.21.1_Cover4

JOURNAL FREE ACCESS

Download PDF (38K)

Register with J-STAGE for free!