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2010 Fiscal Year Final Research Report

Construction of Theory of Digital Analysis

Research Project

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Project/Area Number 20200044
Research Category

Grant-in-Aid for Scientific Research on Innovative Areas (Research a proposed research project)

Allocation TypeSingle-year Grants
Research Field Global analysis
Engineering fundamentals
Research InstitutionWaseda University

Principal Investigator

YAMADA Yoshio  Waseda University, 理工学術院, 教授 (20111825)

Co-Investigator(Kenkyū-buntansha) TAKAHASHI Daisuke  早稲田大学, 理工学術院, 教授 (50188025)
MATSUSHIMA Toshiyasu  早稲田大学, 理工学術院, 教授 (30219430)
KASHIWAGI Masahide  早稲田大学, 理工学術院, 教授 (00257247)
Co-Investigator(Renkei-kenkyūsha) NISHIDA Takaaki  早稲田大学, 理工学術院, 教授 (70026110)
OISHI Shin'ichi  早稲田大学, 理工学術院, 教授 (20139512)
Project Period (FY) 2008 – 2010
Keywords非線形現象 / 計算力学 / デジタル系 / 情報理論 / 数値計算法 / 超離散化
Research Abstract

Our research group is composed of scholars working in the areas of discrete mathematics, nonlinear differential equations, information theory and numerical computation. We have organized "Seminar on Digital Analysis" so that members can hold common understanding and insight on the fundamental theories and ideas of digital mathematics. As speakers of this seminar, we have invited 16 researchers who are highly active in the areas of discrete mathematics, mathematical modeling, information theory and numerical computation. We have succeeded in getting common understanding on digital analysis through exciting discussions in each lecture of the seminar.

  • Research Products

    (56 results)

All 2011 2010 2009 2008 Other

All Journal Article (22 results) (of which Peer Reviewed: 21 results) Presentation (33 results) Remarks (1 results)

  • [Journal Article] Max-plus analysis on some binary particle systems2011

    • Author(s)
      D.Takahashi, J.Matsukidaira, H.Hara, B.Feng
    • Journal Title

      Journal of Physics A Vol.44

      Pages: 135102(21)

    • Peer Reviewed
  • [Journal Article] Ultradiscrete Plucker relation specialized for soliton solutions2011

    • Author(s)
      H.Nagai, D.Takahashi
    • Journal Title

      Journal of Physics A Vol.44

      Pages: 095202(18)

    • Peer Reviewed
  • [Journal Article] 平均値形式とアフィン演算を用いた常微分方程式の精度保証法2011

    • Author(s)
      柏木啓一郎、柏木雅英
    • Journal Title

      日本応用数理学会論文誌 21巻

      Pages: 37-58

    • Peer Reviewed
  • [Journal Article] 複数の鍵配送センターを用いたランプ型鍵事前配布方式2010

    • Author(s)
      吉田隆弘、松嶋敏泰、今井秀樹
    • Journal Title

      電子情報通信学会論文誌A 93巻

      Pages: 277-288

    • Peer Reviewed
  • [Journal Article] 超離散Plucker関係式を用いたソリトン解の証明について2010

    • Author(s)
      長井秀友、高橋大輔
    • Journal Title

      京大数理解析研究所講究録 1700巻

      Pages: 132-145

    • Peer Reviewed
  • [Journal Article] KL情報量を制約としたResolvability問題における達成可能条件の評価2010

    • Author(s)
      野村亮、吉田隆弘、松嶋敏泰
    • Journal Title

      電子情報通信学会論文誌A 93巻

      Pages: 216-221

    • Peer Reviewed
  • [Journal Article] Estimation of the effects in the experimental design using Fourier transforms2010

    • Author(s)
      Y.Ukita, T.Matsushima, S.Hirasawa
    • Journal Title

      IEICE Transactions, Fundamentals Vol.93-A

      Pages: 2077-2082

    • Peer Reviewed
  • [Journal Article] A note on the branch-and-cut approach to decoding linear block codes2010

    • Author(s)
      S.Horii, T.Matsushima, S.Hirasawa
    • Journal Title

      IEICE Transactions, Fundamentals Vol.93-A

      Pages: 1912-1917

    • Peer Reviewed
  • [Journal Article] A note on a sampling theorem for functions over GF(q)^n domain2010

    • Author(s)
      Y.Ukita, T.Saito, T.Matsushima, S.Hirasawa
    • Journal Title

      IEICE Transactions, Fundamentals Vol.93-A

      Pages: 1024-1031

    • Peer Reviewed
  • [Journal Article] Bilinear equations and Backlund transformation for generalized ultradiscrete soliton solution2010

    • Author(s)
      H.Nagai, D.Takahashi
    • Journal Title

      Journal of Physics A Vol.43

      Pages: 375202(13)

    • Peer Reviewed
  • [Journal Article] Positive solutions for Lotka-Volterra competition sytems with large cross-diffusion2010

    • Author(s)
      K.Kuto, Y.Yamada
    • Journal Title

      Applicable Analysis Vol.89

      Pages: 1037-1066

    • Peer Reviewed
  • [Journal Article] 多端子情報理論に基づくセンサネットワークのモデル化と信頼度評価2010

    • Author(s)
      野村亮、松嶋敏泰
    • Journal Title

      情報処理学会論文誌:数理モデル化と応用 3巻

      Pages: 13-24

    • Peer Reviewed
  • [Journal Article] Coexistence problem for a prey-predator model with density-dependent diffusion2009

    • Author(s)
      K.Kuto, Y.Yamada
    • Journal Title

      Nonlinear Analysis, TMA Vol.71

      Pages: e2223-e2232

    • Peer Reviewed
  • [Journal Article] On the condition of ε-transmissible joint source-channel coding for general sources and general channels2009

    • Author(s)
      R.Nomura, T.Matsushima, S.Hirasawa
    • Journal Title

      IEICE Transactions, Fundamentals Vol.92-A

      Pages: 2936-2940

    • Peer Reviewed
  • [Journal Article] Global solutions for the Shigesada-Kawasaki-Teramoto model with cross-diffusion2009

    • Author(s)
      Y.Yamada
    • Journal Title

      Recent Progress on Reaction-Diffusion Systems and Viscosity Solutins

      Pages: 282-299

  • [Journal Article] Limiting characterization of stationary solutions for a prey-predator model with nonlinear diffusion of fractional type2009

    • Author(s)
      K.Kuto, Y.Yamada
    • Journal Title

      Differential and Integral Equations Vol.22

      Pages: 725-752

    • Peer Reviewed
  • [Journal Article] On precise achievable conditions in resolvability problem based on the asymptotic normality2009

    • Author(s)
      R.Nomura, T.Matsushima
    • Journal Title

      Far East Journal of Electronics and Communications Vol.3

      Pages: 85-99

    • Peer Reviewed
  • [Journal Article] On a discrete optimal velocity model and its continuous and ultradiscrete relatives2009

    • Author(s)
      D.Takahashi, J.Matsukidaira
    • Journal Title

      JSIAM Letters Vol.1

      Pages: 1-4

    • Peer Reviewed
  • [Journal Article] 拡張された有本-Blahutアルゴリズムの大域的収束性について2008

    • Author(s)
      安井謙介、須子統太、松嶋敏泰
    • Journal Title

      電子情報通信学会論文誌A 91巻

      Pages: 846-860

    • Peer Reviewed
  • [Journal Article] 外れ値データの発生を含む回帰モデルに対するベイズ予測アルゴリズム2008

    • Author(s)
      須子統太、松嶋敏泰、平澤茂一
    • Journal Title

      情報処理学会論文誌:数理モデル化と応用 1巻

      Pages: 17-26

    • Peer Reviewed
  • [Journal Article] GPUを利用した非線形方程式の並列全解探索法2008

    • Author(s)
      柏木啓一郎、宮島信也、柏木雅英
    • Journal Title

      日本応用数理学会論文誌 18巻

      Pages: 347-362

    • Peer Reviewed
  • [Journal Article] Positive solutions for Lotka-Volterra Systems with cross-diffusion2008

    • Author(s)
      Y.Yamada
    • Journal Title

      Handbook of Differential Equations, Stationary Partial Differential Equations Vol.6

      Pages: 411-501

    • Peer Reviewed
  • [Presentation] 0と1をつなぐ数学2011

    • Author(s)
      高橋大輔
    • Organizer
      第9回現象数理若手シンポジウム
    • Place of Presentation
      明治大学
    • Year and Date
      2011-02-22
  • [Presentation] On limit systems for some population models with crossdiffusion2010

    • Author(s)
      Yoshio Yamada
    • Organizer
      Workshop on PDE Models of Biological Processes
    • Place of Presentation
      国立理論科学センター、新竹、台湾
    • Year and Date
      2010-12-17
  • [Presentation] Max-plus analysis of digital particle system2010

    • Author(s)
      Daisuke Takahashi
    • Organizer
      The 7th International Conference on Differential Equations and Dynamical Systems
    • Place of Presentation
      南フロリダ大学、アメリカ
    • Year and Date
      2010-12-16
  • [Presentation] Universal coding under unknown alphabet2010

    • Author(s)
      松嶋敏泰
    • Organizer
      第33回情報理論とその応用シンポジウム
    • Place of Presentation
      信州松代ロイヤルホテル、長野県
    • Year and Date
      2010-12-03
  • [Presentation] Observing digital and analogue, dream it2010

    • Author(s)
      Daisuke Takahashi
    • Organizer
      Nonlinear Analysis and Integrable Systems
    • Place of Presentation
      龍谷大学セミナーハウス、京都
    • Year and Date
      2010-11-19
  • [Presentation] デジタル粒子モデルの漸近展開について2010

    • Author(s)
      高橋大輔
    • Organizer
      研究集会「非線形波動研究の新たな展開-現象とモデル化-」
    • Place of Presentation
      九州大学応用力学研究所
    • Year and Date
      2010-10-30
  • [Presentation] A note on estimation of the effects in the experimental design using Fourier transforms2010

    • Author(s)
      Y.Ukita, T.Matsushima
    • Organizer
      電子情報通信学会ソサイエティ大会
    • Place of Presentation
      大阪府立大学
    • Year and Date
      2010-09-14
  • [Presentation] On the overflow probability of lossless codes with side information2010

    • Author(s)
      R.Nakamura, T.Matsushima
    • Organizer
      2010 IEEE International Symposium on Information Theory
    • Place of Presentation
      テキサス州、アメリカ
    • Year and Date
      2010-06-15
  • [Presentation] On some ultradiscrete system2010

    • Author(s)
      Daisuke Takahashi
    • Organizer
      Symmetry Plus Integrability 2010
    • Place of Presentation
      テキサス州、アメリカ
    • Year and Date
      2010-06-14
  • [Presentation] Lotka-Volterra competition systems with cross-diffusion and related problems2010

    • Author(s)
      Yoshio Yamada
    • Organizer
      Nonlinear Evolutionary PDEs and Their Equilibrium States
    • Place of Presentation
      早稲田大学
    • Year and Date
      2010-06-12
  • [Presentation] On some particle systems and ultradiscretization2010

    • Author(s)
      Daisuke Takahashi
    • Organizer
      The 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Place of Presentation
      ドレスデン工科大学、ドイツ
    • Year and Date
      2010-05-28
  • [Presentation] On the overflow probability of fixed-to-variable length codes with side information2010

    • Author(s)
      R.Nomura, T.Matsushima
    • Organizer
      Data Compression Conference
    • Place of Presentation
      Snowbird, Utah, アメリカ
    • Year and Date
      2010-03-25
  • [Presentation] Mathematical analysis of SKT model in population biology2010

    • Author(s)
      Yoshio Yamada
    • Organizer
      The 2nd Nagoya Workshop on Differential Equations
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-03-15
  • [Presentation] A note on the branch-and-cut approach to decoding linear block codes2010

    • Author(s)
      S.Horii, T.Matsushima, S.Hirasawa
    • Organizer
      International Workshop on Nonlinear Circuits Communication and Signal Processing
    • Place of Presentation
      Waikiki, Hawaii,アメリカ
    • Year and Date
      2010-03-04
  • [Presentation] Traffic congestion models and ultradiscretization2010

    • Author(s)
      Daisuke Takahashi
    • Organizer
      日中可積分系国際会議(CJJWIS)
    • Place of Presentation
      紹興,中国
    • Year and Date
      2010-01-07
  • [Presentation] A linear programming bound for unequal error protection codes2009

    • Author(s)
      T.Saito, Y.Ukita, T.Matsushima, S.Hirasawa
    • Organizer
      第32回情報理論とその応用シンポジウム
    • Place of Presentation
      山口
    • Year and Date
      2009-12-03
  • [Presentation] 分枝カット法に基づいた線形符号の復号法に関する一考察2009

    • Author(s)
      堀井俊佑、松嶋敏泰、平澤茂一
    • Organizer
      第32回情報理論とその応用シンポジウム
    • Place of Presentation
      山口
    • Year and Date
      2009-12-03
  • [Presentation] On the hyper-parameter estimation of time varying Poisson model for Bayesian WWW traffic forecasting2009

    • Author(s)
      D.Koizumi, T.Matsushima, S.Hirasawa
    • Organizer
      2nd International Workshop of the European Research Consortium on Infomatics and Mathematics, Working Grounp on Cmputing & Statistics
    • Place of Presentation
      Limassol,キプロス
    • Year and Date
      2009-10-29
  • [Presentation] A note on the relation between a sampling theorem for functions over a GF(q)^n domain and linear codes2009

    • Author(s)
      Y.Ukita, T.Saito, T.Matsushima, S.Hirasawa
    • Organizer
      2009 IEEE International Conference on Systems, Man, and Cybernetics
    • Place of Presentation
      San Antonio, Texas,アメリカ
    • Year and Date
      2009-10-11
  • [Presentation] 超離散ソリトン解から導かれる関係式について2009

    • Author(s)
      長井秀友、高橋大輔
    • Organizer
      日本応用数理学会年会
    • Place of Presentation
      大阪大学豊中キャンパス
    • Year and Date
      2009-09-28
  • [Presentation] 超離散hungry Lotka-Volterra方程式の周期位相ソリトン解について2009

    • Author(s)
      中村伸也、高橋大輔
    • Organizer
      日本応用数理学会年会
    • Place of Presentation
      大阪大学豊中キャンパス
    • Year and Date
      2009-09-28
  • [Presentation] Limiting behavior of positive steady state solutions for the Lotka-Volterra competition with large cross-diffusion2009

    • Author(s)
      Yoshio Yamada
    • Organizer
      JSPS-DFG Seminar
    • Place of Presentation
      ミュンヘン工科大学、ドイツ
    • Year and Date
      2009-09-07
  • [Presentation] A note on theoretical limit of type-I hybrid selective-repeat ARQ with finite receiver buffer2009

    • Author(s)
      Y.Maeda, H.Yoshida, T.Matsushima
    • Organizer
      10th International Symposium on Communication Theory and Applications
    • Place of Presentation
      Ambleside, Lake District,イギリス
    • Year and Date
      2009-07-13
  • [Presentation] 超離散化で理解するデジタル系2009

    • Author(s)
      高橋大輔
    • Organizer
      芝浦工業大学談話会
    • Place of Presentation
      芝浦工業大学大宮校舎
    • Year and Date
      2009-07-03
  • [Presentation] On a certain class of population models with nonlinear diffusion2009

    • Author(s)
      Yoshio Yamada
    • Organizer
      6th European Conference on Elliptic and Parabolic Problems
    • Place of Presentation
      ガエタ、イタリア
    • Year and Date
      2009-05-25
  • [Presentation] 超離散化で見える構造2009

    • Author(s)
      高橋大輔
    • Organizer
      第4回離散幾何解析セミナー
    • Place of Presentation
      京都大学
    • Year and Date
      2009-05-14
  • [Presentation] Accurate IVP solver using Affine arithmetic and power series arithmetic2009

    • Author(s)
      Masahide Kashiwagi
    • Organizer
      International Workshop on Numerical Verification and its Applications 2009
    • Place of Presentation
      宮古、沖縄
    • Year and Date
      2009-03-22
  • [Presentation] A Note on automatic construction algorithms for orthogonal designs of experiments using error-correcting codes2008

    • Author(s)
      T.Saito, T.Matsushima, S.Hirasawa
    • Organizer
      Pre-ICM International Convention on Mathematical Sciences
    • Place of Presentation
      デリー、インド
    • Year and Date
      2008-12-19
  • [Presentation] On the condition of ε-transmissibility in the joint source-channel coding for mixed sources and mixed channels2008

    • Author(s)
      R.Nomura, T.Matsushima, S.Hirasawa
    • Organizer
      2008 International Symposium on Information Theory and Its Applications
    • Place of Presentation
      オークランド、ニュージーランド
    • Year and Date
      2008-12-10
  • [Presentation] 微分-差分-超離散OVモデルについて2008

    • Author(s)
      高橋大輔
    • Organizer
      研究集会「非線形波動の数理と物理」
    • Place of Presentation
      九州大学応用力学研究所
    • Year and Date
      2008-11-08
  • [Presentation] Fast verified automatic integration over finite interval2008

    • Author(s)
      N.Yamanaka, T.Ogita, M.Kashiwagi, N.Yamamoto, S.Oishi
    • Organizer
      The NIMS 2008 Conference & The 4th East Asia SIAM Conference
    • Place of Presentation
      デジョン、韓国
    • Year and Date
      2008-10-10
  • [Presentation] 実験計画法における効果の推定の計算量削減に関する一考察2008

    • Author(s)
      浮田善文、松嶋敏泰、平澤茂一
    • Organizer
      第31回情報理論とその応用シンポジウム
    • Place of Presentation
      栃木
    • Year and Date
      2008-10-08
  • [Presentation] 離散と連続は合わせ鏡2008

    • Author(s)
      高橋大輔
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-26
  • [Remarks] ホームページ等

    • URL

      http://digitalanalysis.jp/

URL: 

Published: 2012-02-13   Modified: 2016-04-21  

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