著者

諸星 穂積

出版者

一般社団法人日本応用数理学会

雑誌

応用数理 (ISSN:09172270)

巻号頁・発行日

vol.12, no.3, pp.326-327, 2002-09-25

著者

石田 祥子 萩原 一郎

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.26, no.1, pp.15-21, 2016 (Released:2016-07-27)

参考文献数

23

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Conformal maps are applied for designing foldable forms. This method is able to produce the complicated developed patterns for the geometrical forms such as cones, disks, and tori with different main curvatures from the simple developed patterns for cylinders that are already known, based on the similarity of the quadrilateral elements that determine regular fold lines.

著者

及川 一誠 菊地 文雄

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.27, no.4, pp.33-38, 2017-12-22 (Released:2018-03-31)

参考文献数

12

被引用文献数

1

著者

鈴木 大慈

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.28, no.3, pp.27-33, 2018-09-26 (Released:2018-12-26)

参考文献数

16

著者

齊藤 宣一

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.19, no.4, pp.281-290, 2009-12-24 (Released:2017-04-08)

参考文献数

15

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We are concerned with numerical methods for the Keller-Segel system that describes the aggregation of slime molds resulting from their chemotactic features. Whereas the system has positivity and mass conservation properties, it is not certain that numerical schemes for the system preserve these conservation properties. In the present article, we review two conservative numerical schemes proposed by the author and discuss how to choose the time increments and the space meshes in order to realize those conservation properties. The first one is the finite-difference method that makes use of the semi-implicit time discretization with the time-increment control and the upwind difference approximation. The second is the finite-element method that is an application of Baba-Tabata's conservative upwind finite element. Conservative properties are proved via the theory of M-matrices. Error analysis of the finite-element scheme is also summarized. In particular, we have error estimates with explicit convergence rates by virtue of the analytical semigroup theory.

著者

伊理 正夫

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.3, no.1, pp.58-66, 1993-03-15 (Released:2017-04-08)

著者

小西 貞則

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.10, no.3, pp.198-217, 2000-09-17 (Released:2017-04-08)

参考文献数

63

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The problem of evaluating the goodness of statistical models is fundamental and of importance in various fields of statistics, natural sciences, neural networks, engineering, economics, etc. Akaike's . information criterion, known as AIC, provides a useful tool for constructing statistical models, and a number of successful applications of AIC in statistical data analysis have been reported. AIC is a criterion for evaluating the models estimated by the maximum likelihood method. With the development of various non-linear modeling techniques, the construction of criteria which enable us to evaluate various types of statistical models has been required. The aim of this paper is to give a systematic account of some recent developments in model evaluation criteria from information-theoretic and Bayesian points of views. We intend to provide a basic expository account of the fundamental principles behind information criteria. We also discuss the application of the bootstrap methods in model evaluation problems.

著者

手塚 集

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.8, no.4, pp.267-276, 1998-12-15 (Released:2017-04-08)

参考文献数

13

被引用文献数

1

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This paper surveys recent developments on numerical algorithms for high dimensional multiple integration. First, we present Wozniakowski's theorem published in 1991, which revealed a remarkable connection between the integration error and the discrepancy via the classical Wiener measure. Then, we introduce low-discrepancy sequences, by means of which one can compute the arithmetic mean of a number of sample values of the integrand as an approximation to the integration. As a concrete construction method of low-discrepancy sequences, we give the definition of generalized Niederreiter sequences and a brief introduction of Niederreiter-Xing sequences, which are constructed by using algebraic function fields. Finally, we describe Smolyak's algorithm, which is an algorithm computing the weighted mean of sample values of the integrand. Sample points that this algorithm uses are called hyperbolic cross points. An interesting result by Wasilkowski and Wozniakowski on this algorithm is presented.

著者

西森 拓 西村 信一郎

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.24, no.2, pp.59-65, 2014-06-25 (Released:2017-04-08)

被引用文献数

1

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Foraging efficiency of ant colony is studied along the idea of strategy of errors. Strategy of errors is a seemingly-paradoxical group-tactics proposed by Deneubourg, meaning that errors of individual ants in following trail pheromone, rather, increase the efficiency of pheromone-mediated group foraging. In this paper, we first explain the basic idea of strategy of errors, thereafter, extend Deneubourg's original model to entrain more realistic processes. Through numerical calculations of the present model, we obtain two results: i) there are cases where non-uniform (element-dependent) distribution of the degree of errors in an ant colony enables the colony to make an optical foraging, ii) according to the variation of food-supplying environment, a transition of the optimal distribution of errors from the non-uniform distribution to the uniform distribution takes place. These results indicate that the idea of strategy of errors has a more scalability than that originally considered.

著者

石井 晃 太田 奨

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:09172270)

巻号頁・発行日

vol.25, no.2, pp.50-58, 2015

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We apply a mathematical theory for hit phenomenon for prediction of the "general election" of AKB48 which is very popular girls group in Japan.

著者

藤井 眞理子

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.14, no.2, pp.191-192, 2004-06-25 (Released:2017-04-08)

著者

村松 純

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.8, no.2, pp.165-166, 1998-06-15 (Released:2017-04-08)

著者

青木 康憲 速水 謙 小長谷 明彦

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.24, no.4, pp.151-159, 2014-12-25 (Released:2017-04-08)

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As the observations we can make from patients are limited compared to the complexity of the physiology, underdetermined inverse problems appear often in the parameter estimation problems of physiologically based pharmacokinetics (PBPK) models. We address this issues of not being able to identify the model parameter set uniquely by finding multiple sets of possible parameter sets that are consistent with the observations. As this approach requires multiple parameter estimations of a complex model, the computational cost can be a bottle neck. In this paper, we introduce a new computationally efficient algorithm called the Cluster Newton method to find multiple solutions of an underdetermined inverse problem.

著者

桂 利行

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.14, no.3, pp.290-294, 2004-09-28 (Released:2017-04-08)

著者

牧野 淳一郎

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.8, no.4, pp.277-287, 1998-12-15 (Released:2017-04-08)

参考文献数

18

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I overview the Fast Multipole Method (FMM) and the Barnes-Hut tree method. These algorithms evaluate mutual gravitational interaction between N particles in O(N) or O(N log N) times, respectively. I present basic algorithms as well as recent developments, such as Anderson's method of using Poisson's formula, the use of FFT, and other optimization techniques. I also summarize the current states of two algorithms. Though FMM with O(N) scaling is theoretically preferred over O(N log N) tree method, comparisons of existing implementations proved otherwise. This result is not surprizing, since the calculation cost of FMM scales as O(Np^2) where p is the order of expansion, while that of the tree method scales as O(N log Np).

著者

有光 敏彦 有光 直子

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:09172270)

巻号頁・発行日

vol.12, no.1, pp.68-71, 2002

参考文献数

21

被引用文献数

1

著者

柳澤 大地 西成 活裕

出版者

一般社団法人日本応用数理学会

雑誌

応用数理 (ISSN:09172270)

巻号頁・発行日

vol.22, no.1, pp.2-14, 2012-03-27

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Jamology is a new scientific and engineering research, which deals with flow and jam of every self-driven particle in the world. One of the most famous models used in Jamology is Cellular Automaton (CA), where time, space, and state are discrete. In this paper, we introduce the essence and the contribution of CA models in Jamology. Traffic CA models succeed to reproduce meta-stable state, which is an essential phenomenon in real traffic, and show some results which can be applied to ease congestion at junctions and weaving sections. Besides, collaboration of CA and Queueing theory creates a new queueing model which gives us mathematically-exact solution useful for application. Furthermore, two dimensional CA models for pedestrians are extended in many ways to study how the specific characteristics of pedestrians affect on their flow. In the last section of the paper, we also discuss the scope of application of CA models.

著者

鷲尾 巧

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.20, no.2, pp.154-161, 2010-06-25 (Released:2017-04-08)

参考文献数

7

著者

鷲尾 巧

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.20, no.4, pp.329-337, 2010-12-24 (Released:2017-04-08)

参考文献数

5

著者

鷲尾 巧

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.20, no.3, pp.242-249, 2010-09-24 (Released:2017-04-08)

参考文献数

4