Transactions of the Japan Society for Industrial and Applied Mathematics

[title in Japanese]

Article type: Cover
2000 Volume 10 Issue 1 Pages Cover1-
Published: March 15, 2000
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.10.1_Cover1

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[title in Japanese]

Article type: Cover
2000 Volume 10 Issue 1 Pages Cover2-
Published: March 15, 2000
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.10.1_Cover2

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[title in Japanese]

Article type: Appendix
2000 Volume 10 Issue 1 Pages App1-
Published: March 15, 2000
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.10.1_App1

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[title in Japanese]

[in Japanese]

Article type: Article
2000 Volume 10 Issue 1 Pages i-
Published: March 15, 2000
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.10.1_i

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[title in Japanese]

Article type: Appendix
2000 Volume 10 Issue 1 Pages App2-
Published: March 15, 2000
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.10.1_App2

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Computation of Incomplete Gamma Functions Γ(a, x)for x≥1

Isao Nakayama

Article type: Article
2000 Volume 10 Issue 1 Pages 1-20
Published: March 15, 2000
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.10.1_1

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An efficient method for calculating incomplete gamma functions Γ(a, x)for x≥1 is discussed. It is shown that modifying the continued fraction for Γ(a, x)by using appropriate modifying factors yields convergence acceleration with a remarkable reduction of the number of terms required for a given accuracy. In addition sequences of upper and lower bounds for Γ(a, x)are also derived and hence in a wide region of parameters the new method introduced here is proved to be useful at a higher level of accuracy as well as at a lower level.

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Numerical method of generating minimal surfaces by using J.Douglas' functional

kenta Kobayashi

Article type: Article
2000 Volume 10 Issue 1 Pages 21-35
Published: March 15, 2000
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.10.1_21

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We present a method of generating minimal surfaces bounded by given curves. Our method uses a functional which is found by Jesse Douglas in 1931. FFT is another important ingredient of our method. Applying this method, we can generate minimal surfaces more accurately than FEM in less time and with less memory.

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Stochastic Programming Model for the Design of Computer Network

Takayuki SHIINA

Article type: Article
2000 Volume 10 Issue 1 Pages 37-50
Published: March 15, 2000
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.10.1_37

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This paper is concerned with a stochastic version of a concentrator location problem in which traffic demand at each terminal is uncertain. The problem is formulated as a stochastic integer linear program, with first stage binary variables concerning network design and second stage continuous variables concerning expansion of capacity. The objective function minimizes the sum of the connecting cost of terminals, the opening cost of concentrators and the expected recourse cost of capacity expansion. A new slgorithm which combines an L-shaped method and a branch-and-bound method is proposed to solve the problem. The algorithm solves the integer master problem using a branch-and-bound method repeatedly. The results of the numerical experiments show that our method solves these problems in less time than a srandard mixed integer programming approach.

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Analysis of chaotic behavior of spin 1/2 systems by quantum entropic chaos degree

Kei Inoue, Hazime Kamigawara, Masanori Ohya

Article type: Article
2000 Volume 10 Issue 1 Pages 51-69
Published: March 15, 2000
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.10.1_51

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In order to study chaotic behaviors of dynamical systems, there are several concepts such as dynamical entropy, Liapunov exponent, fractal dimension, bifurcation and ergodic theory. One of the authors proposed information dynamics to treat several dynamical behaviours in a common standing point. A quantity measuring chaos of dynamical systems was defined by means of two complexities in information dynamics, and it is called chaos degree. In this paper, we apply to a model of spin systems under magnetic field. By using the quantum entropic chaos degree, we analyze how much chaos is produced by the effect of the magnetic field.

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Optimization of an Airfoil Shape Using the Implicit Function Theorem

Yasuyoshi Horibata

Article type: Article
2000 Volume 10 Issue 1 Pages 71-86
Published: March 15, 2000
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.10.1_71

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An airfoil shape is optimized by finding its design variables such that an objective function is minimized. The sequential quadratic programming procedure is used for the minimization. Each search of the sequential quadratic programming procedure requires calculation of the gradient of the objective function with respect to the design variables. The gradient is calculated by using the implicit function theorem. This method greatly reduces CPU time for the gradient calculation. Regardless of the design variables number, the calculation costs as much CPU time as flow simulation. An optimization example for an axial compressor cascade is presented.

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[title in Japanese]

Article type: Appendix
2000 Volume 10 Issue 1 Pages App3-
Published: March 15, 2000
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.10.1_App3

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[title in Japanese]

Article type: Cover
2000 Volume 10 Issue 1 Pages Cover3-
Published: March 15, 2000
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.10.1_Cover3

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[title in Japanese]

Article type: Cover
2000 Volume 10 Issue 1 Pages Cover4-
Published: March 15, 2000
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.10.1_Cover4

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