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J-GLOBAL ID：201201094213020330   Update date: Oct. 16, 2024

Fukuda Akiko

フクダ アキコ | Fukuda Akiko
Affiliation and department：
Shibaura Institute of Technology College of Systems Engineering and Science Department of Mathematical Sciences

About Shibaura Institute of Technology College of Systems Engineering and Science Department of Mathematical Sciences


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  (4)： Applied mathematics and statistics ,  Mathematical analysis ,  Computational science ,  Mathematical informatics
Research keywords  (20)： Integrable system ,  discrete integrable system ,  超離散可積分系 ,  Applied integrable systems ,  Ultradiscrete system ,  Max-plus algebra ,  min-plus algebra ,  tropical linear algebra ,  discrete dynamical systems ,  Ultradiscrete dynamical system ,  cellular automata ,  discrete mathematics ,  Discrete analysis ,  Applied mathematics ,  Numerical Analysis ,  Numerical computation ,  Numerical Linear Algebra ,  Eigenvalue Problems ,  eigenvalue ,  Quantum walk
Research theme for competitive and other funds  (7)：
  • 2023 - 2027 Analysis of discrete dynamical systems described by max-plus equations and their 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」
  • 2019 - 2023 Development of linear solvers on max-plus algebra and its applications
  • 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 (53)：
  • Masafumi Kan, Akiko Fukuda, Sennosuke Watanabe. Ultradiscrete hungry Toda equation and eigenvalues over min-plus algebra. Journal of Difference Equations and Applications. 2024. 30. 2. 233-251
  • 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 (22)：
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Books (2)：
  • Integrable Systems Related to Matrix LR Transformations, In: Ikeda, K., et al. Advanced Mathematical Science for Mobility Society
    Springer 2024 ISBN:9789819997718
  • Max Plus at Work
    2022 ISBN:9784627062016
Lectures and oral presentations  (134)：
  • 一次多項式で表現される保存量をもつ多値セルオートマトン
    (日本応用数理学会2024年度年会 2024)
  • 相関付きランダムウォークに基づく連続・離散・超離散バーガーズ方程式の一般化
    (RIMS共同研究 (公開型)「可積分系数理の新展開」 2024)
  • 一次多項式で表現される保存量をもつ多値セルオートマトン
    (第22回計算数学研究会 2024)
  • Max-plus代数上の有限な超固有ベクトルを求める効率的なアルゴリズムの提案
    (第22回計算数学研究会 2024)
  • 高階セルオートマトンと離散版「連続の式」
    (離散数学とその応用研究集会2024(JCCA2024) 2024)
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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 (9)：
  • 2024/04 - 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
  • 2023/04 - 2026/03 日本応用数理学会 JSIAM Letters 編集委員会 副編集委員長
  • 2019/04 - 2023/03 日本応用数理学会 代表会員
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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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