日本応用数理学会論文誌

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原稿種別: 表紙
1998 年 8 巻 1 号 p. Cover1-
発行日: 1998/03/15
公開日: 2017/04/08

DOIhttps://doi.org/10.11540/jsiamt.8.1_Cover1

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目次

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1998 年 8 巻 1 号 p. Cover2-
発行日: 1998/03/15
公開日: 2017/04/08

DOIhttps://doi.org/10.11540/jsiamt.8.1_Cover2

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原稿種別: 付録等
1998 年 8 巻 1 号 p. App1-
発行日: 1998/03/15
公開日: 2017/04/08

DOIhttps://doi.org/10.11540/jsiamt.8.1_App1

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とびらの言葉

鍜治幹雄

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1998 年 8 巻 1 号 p. i-
発行日: 1998/03/15
公開日: 2017/04/08

DOIhttps://doi.org/10.11540/jsiamt.8.1_i

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原稿種別: 付録等
1998 年 8 巻 1 号 p. App2-
発行日: 1998/03/15
公開日: 2017/04/08

DOIhttps://doi.org/10.11540/jsiamt.8.1_App2

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代用電荷法による数値等角写像のスケール変換不変性

天野要, 井上哲男

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1998 年 8 巻 1 号 p. 1-17
発行日: 1998/03/15
公開日: 2017/04/08

DOIhttps://doi.org/10.11540/jsiamt.8.1_1

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We are concerned here with the numerical conformal mapping of bounded simply connected Jordan domains onto the unit disk by the charge simulation method, where a pair of conjugate harmonic functions are approximated by a linear combination of complex logarithmic potentials. We propose a new scheme which employs Murota's invariant scheme. With an according modification, the new scheme becomes invariant with respect to affine transformations and a similarity to Symm's integral equation method will be clarified.

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熱方程式の逆問題 : 初期函数の台の決定

春木耕祐, 磯祐介

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1998 年 8 巻 1 号 p. 19-23
発行日: 1998/03/15
公開日: 2017/04/08

DOIhttps://doi.org/10.11540/jsiamt.8.1_19

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We deal with an inverse problem for the heat equation on a one-dimensional half space;we restrict ourselves to determination of the initial function from boundary observation. We give an estimate for the support of the initial function in the present research.

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近似的な漸近的ランダム性をもつ一様乱数発生法の設計

諸星穂積, 伏見正則

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1998 年 8 巻 1 号 p. 25-33
発行日: 1998/03/15
公開日: 2017/04/08

DOIhttps://doi.org/10.11540/jsiamt.8.1_25

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A method for designing a uniform random number generator based on M-sequence is presented. The sequence generated by the method {x_t;t=0, 1, 2…} as well as its properly decimated sequence {x_nt;t=0, 1, 2…} for several values of n have the property of approximate asymptotic randomness. A key idea of the method is to iterate a permutation of the bits in M-sequence random numbers so that leading bits may become linearly independent. Since there are computational difficulties in finding the condition for the linear independence of bits and in solving the optimization problem of bit permutation, we adopt some heuristic methods for finding approximate solutions.

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東京の気温データのカオス性について : 一般化情報量基準の応用

松葉育雄

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1998 年 8 巻 1 号 p. 35-43
発行日: 1998/03/15
公開日: 2017/04/08

DOIhttps://doi.org/10.11540/jsiamt.8.1_35

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A previously proposed generalized information criterion is applied to the temperature time series recorded at Tokyo. The maximum Lyapunov exponents estimated from the behavior of the prediction error agrees with that obtained directly from the time series data based on the reconstructed dynamics whose dimension is determined by use of the generalized information criterion. This result indicates that the recorded temperature sequence in Tokyo may be in the chaotic state.

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定期預金のプリペイメント・リスク評価モデル

青沼君明, 木島正明

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1998 年 8 巻 1 号 p. 45-66
発行日: 1998/03/15
公開日: 2017/04/08

DOIhttps://doi.org/10.11540/jsiamt.8.1_45

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This paper constructs a valuation model of prepayment risk in time deposits from a viewpoint of financial institutions. There are two tasks to evaluate such risk; the first is how to estimate the subjective prepayment probability, and the second to calculate the option premium involved in it based on the estimated prepayment probability. For the first task, we apply the Cox proportional hazard model to estimate the prepayment probability. The aim of this model is to obtain the term structure which occurs by own characteristics of the financial product and to take it in the base line hazard function. For the second task, we use the Kijima-Nagayama lattice (1994) in order to calculate the prepayment risk premium by the extened Vasicek model.

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積分方程式法による不伸長弾性リングの分岐解析

眞鍋尚, 登坂宣好, 本間俊雄

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1998 年 8 巻 1 号 p. 67-79
発行日: 1998/03/15
公開日: 2017/04/08

DOIhttps://doi.org/10.11540/jsiamt.8.1_67

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The problem of determining possible equilibrium states of buckled elastic rings subjected to a uniform pressure is discussed in this paper. This problem is known as the nonlinear bifurcation problem in which there exist many bifurcation solutions and limit points. The nonlinear governing equations based on the Bernoulli-Euler theory of elastica are transformed into the nonlinear integral equations. The integral equations are discretized by means of the numerical integral procedure. In order to find the bifurcation solution at a bifurcation point, the bifurcation technique in conjunction with the arc-length method is applied effectively. In numerical results for the pressure P (0≥P≥100) it is shown that there exist nine bifurcation solutions.

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分布関数の再帰方程式による確率論的破壊力学の解法の提案 : 第2報:決定的時間発展系のC^1級写像への拡張

秋葉博, 吉村忍, 矢川元基

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1998 年 8 巻 1 号 p. 81-106
発行日: 1998/03/15
公開日: 2017/04/08

DOIhttps://doi.org/10.11540/jsiamt.8.1_81

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This paper describes a new method for Probabilistic Fracture Mechanics (PFM). The present authors have previously developed a new method for PFM, named Recursive Distribution (RD) method. The method depends on the construction of the Lebesgue-Stieltjes measure through a deterministic mapping defining a crack growth process. Here the mapping is extended from C^1 isomorphism to C^1 mapping which allows a weak discontinuity. The critical points of the mapping are classified, and the Lebesgue decomposition is given to the distribution of crack geometry using the classification. The present method is applied to an analysis of LWR's piping integrity problem, and almost the same results as those obtained by the Monte Carlo (MC) method are obtained. CPU time of the RD method is less than 1/10 of the MC method.

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復元波形を用いた鉄道線路の狂いの補修の数理と最適化

吉村彰芳, 神山雅子, 穴見徹広, 森忠夫

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1998 年 8 巻 1 号 p. 107-133
発行日: 1998/03/15
公開日: 2017/04/08

DOIhttps://doi.org/10.11540/jsiamt.8.1_107

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A new method of repairing railway track irregularities is described. A waveform of track irregularity restored partially at the specified region of wavelength from the socalled 3-point chord measurement data is used in the repair work. A new method is successfully applied to the repair work of a track irregularity in longitudinal level in which only a lifting operation can be allowed.Then by introducing a criterion of evaluating a smoothness of track geometry the repairing problem is formulated to the well-known quadratic programming problem in optimization theory.

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大規模非経験的分子軌道計算は化学的精度を満足するか?

高島一, 北村一泰, 田辺和俊, 長嶋雲兵

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1998 年 8 巻 1 号 p. 135-151
発行日: 1998/03/15
公開日: 2017/04/08

DOIhttps://doi.org/10.11540/jsiamt.8.1_135

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In a large molecule like a protein, a numerical error of a total energy value in the Hartree-Fock calculation may exceed the required absolute chemical accuracy, 0.01kcal/mol. We estimated numerical errors in a Fock matrix generation and diagonalization. In the present Fock matrix construction algorithm, an estimated numerical error of a total energy value is larger than the required chemical accuracy when a basis set size is more than several thousands. The numerical error can be decrease to less than the required chemical accuracy by the contrived algorithm that Fock matrix elements are generated by a partial summation technique.

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画像のノイズ除去のための新しい方法

木村誠二

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1998 年 8 巻 1 号 p. 153-156
発行日: 1998/03/15
公開日: 2017/04/08

DOIhttps://doi.org/10.11540/jsiamt.8.1_153

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The purpose of this note is to introduce a new method of exclusion of noise in greyscale pictures which contain continuous surfaces, lines, and edges. A filter is constructed, and that is more effective than many of other methods in use.

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原稿種別: 付録等
1998 年 8 巻 1 号 p. App3-
発行日: 1998/03/15
公開日: 2017/04/08

DOIhttps://doi.org/10.11540/jsiamt.8.1_App3

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裏表紙

原稿種別: 表紙
1998 年 8 巻 1 号 p. Cover3-
発行日: 1998/03/15
公開日: 2017/04/08

DOIhttps://doi.org/10.11540/jsiamt.8.1_Cover3

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CONTENTS

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1998 年 8 巻 1 号 p. Cover4-
発行日: 1998/03/15
公開日: 2017/04/08

DOIhttps://doi.org/10.11540/jsiamt.8.1_Cover4

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