Fukuda Akiko

フクダアキコ | Fukuda Akiko

Affiliation and department：
Job title： Professor
Homepage URL (2)： https://www.mathsci.shibaura-it.ac.jp/afukuda/ , https://www.mathsci.shibaura-it.ac.jp/afukuda/?page_id=82

Research field (5)： Computational science , Mathematical informatics , Mathematical analysis , Applied mathematics and statistics , Basic mathematics

Research keywords (19)： Applied integrable systems , Integrable system , discrete integrable system , 超離散可積分系 , Ultradiscrete system , Numerical Analysis , Numerical computation , Numerical Linear Algebra , eigenvalue , Eigenvalue Problems , Max-plus algebra , min-plus algebra , tropical linear algebra , discrete dynamical systems , Ultradiscrete dynamical system , cellular automata , Quantum walk , Applied mathematics , Discrete analysis

Research theme for competitive and other funds (7)：

2023 - 2027 Max-plus方程式で記述される離散力学系の解析とその応用
2019 - 2023 Development of linear solvers on max-plus algebra and its applications
2020 - 2023 京都大学・トヨタ自動車共同研究「モビリテイ基盤数理」
2016 - 2019 Application of discrete and ultradiscrete integrable systems of hungry type to eigenvalue problem
2014 - 2017 New developments of matrix similarity transformations derived from integrable systems

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Papers (36)：

Masafumi Kan, Akiko Fukuda, Sennosuke Watanabe. Ultradiscrete hungry Toda equation and eigenvalues over min-plus algebra. Journal of Difference Equations and Applications. 2023. 1-19
Yusaku Yamamoto, Akiko Fukuda, Emiko Ishiwata, Masashi Iwasaki. Box and ball system with numbered boxes and balls. RIMS Kˆokyˆuroku Bessatsu. 2023. B94. 21-36
Yuki Nishida, Koki Yamasaki, Sennosuke Watanabe, Akiko Fukuda, Yoshihide Watanabe. Convergence of Vector-Valued Fuzzy Cellular Automata with Weighted-Averaging Rules. Cellular Automata and Discrete Complex Systems, AUTOMATA 2023, Lecture Notes in Computer Science. 2023. 14152. 48-59
Akiko Fukuda, Sennosuke Watanabe, Etsuo Segawa. Generalized discrete and ultradiscrete Burgers equations derived through the correlated random walk. Journal of Difference Equations and Applications. 2023
Yuki Nishida, Sennosuke Watanabe, Akiko Fukuda, Daichi Yanagisawa. Fuzzy cellular automata with complete number-conserving rule as traffic-flow models with bottleneck. JSIAM Letters. 2022. 14. 143-146

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MISC (37)：

西山智也, 福田亜希子. Kaczmarz法の超離散化とmin-plus代数におけるダイクストラ法との対応. 日本応用数理学会年会講演予稿集(CD-ROM). 2022. 2021
山田弘樹, 福田亜希子. 畳み込みニューラルネットワークを用いたECAのクラス分け. 津田塾大学数学・計算機科学研究所所報. 2021. 42. 129-134
菅雅文, 福田亜希子. 番号付き箱玉系のソーティング条件. 津田塾大学数学・計算機科学研究所所報. 2021. 42. 121-128
西田優樹, 山崎功貴, 渡邉扇之介, 福田亜希子, 渡邊芳英. 完全1次保存する3値3近傍ファジーCAの収束性. 津田塾大学数学・計算機科学研究所所報. 2021. 42. 109-120
福田亜希子, 渡邉扇之介, 瀬川悦生. 相関付きランダムウォークから導かれる連続・離散・超離散方程式. 津田塾大学数学・計算機科学研究所所報. 2021. 42. 45-56

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Books (1)：

Max Plus at Work
2022 ISBN:9784627062016

Lectures and oral presentations (123)：

Two-state three-neighbor second order cellular automata with additive conserved quantities
(2023)
Five-state three-neighbor CA model for one-dimensional pedestorian bi-directional flow and its fundamental diagram
(2023)
Convergence of Vector-Valued Fuzzy Cellular Automata with Weighted-Averaging Rules
(Automata 2023: The 29th International Workshop on Cellular Automata and Discrete Complex Systems 2023)
運搬車容量付きの箱に番号が付いた箱玉系とシフト付きLR変換との対応
(日本応用数理学会2022年度年会 2022)
超離散ハングリーロトカ・ボルテラ系と超離散ハングリー戸田方程式を用いたmin-plus代数上の固有値計算
(日本応用数理学会2022年度年会 2022)

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Professional career (1)：

Dr. Sci. (Tokyo University of Science)

Work history (7)：

2023/04 - 現在 Shibaura Institute of Technology College of Systems Engineering and Science Department of Mathematical Sciences Professor
2017/04 - 2023/03 Shibaura Institute of Technology Department of Mathematical Sciences, College of Systems Engineering and Science
2018/10 - 2019/03 Tsuda University
2014/04 - 2017/03 Shibaura Institute of Technology Department of Mathematical Sciences, College of Systems Engineering and Science Assistant Professor
2014/03 - 2016/03 Tokyo University of Science Organization for Research Advancement Research Institute for Science and Technology

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Committee career (8)：

2023/04 - 現在日本応用数理学会 JSIAM Letters編集委員
2019/04 - 現在日本応用数理学会代表会員
2013/09 - 現在東京理科大学理窓博士会幹事
2013/08 - 現在日本応用数理学会「行列固有値問題の解法とその応用」研究部会運営委員
2021/04 - 2022/03 日本応用数理学会日本応用数理学会2021年度年会実行委員

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Awards (10)：

2023/12 - 第21 回計算数学研究会優秀ポスター賞歩行者の双方向流を表す5値3近傍CAモデルとそのファジー化
2021/11 - International Conference on Mathematics: Pure, Applied and Computation Best Paper Award Traffic flow models with two kinds of vehicles in terms of the vector-valued cellular automata and their fuzzification
2020/12 - 第18回計算数学研究会優秀ポスター賞番号付き箱玉系におけるソーティングの条件と高速化
2020/12 - 第18回計算数学研究会優秀ポスター賞歩行者の横断を考慮した交通流のセルオートマトンモデル
2020/11 - poster award

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Association Membership(s) (4)：

International Linear Algebra Society , THE MATHEMATICAL SOCIETY OF JAPAN , JAPAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS , 人工知能学会

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