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Tsujimoto, Satoshi

Graduate School of Informatics, Department of Applied Mathematics and Physics Associate Professor

Tsujimoto, Satoshi
list
    Last Updated :2022/06/24

    Basic Information

    Faculty

    • 工学部 工学部 情報学科

    Professional Memberships

    • From Dec. 1998, To Present
      日本数学会
    • From Oct. 1992, To Present
      日本応用数理学会
    • From Sep. 1992, To Present
      日本物理学会

    Academic Degree

    • 修士(早稲田大学)
    • 博士(早稲田大学)

    Research History

    • From Apr. 2009, To Present
      Kyoto University, Graduate School of Informatics Department of Applied Mathematics and Physis, 准教授
    • From Nov. 2001, To Mar. 2009
      Kyoto University, Graduate School of Informatics Department of Applied Mathematics and Physis, 講師
    • From Jul. 1998, To Oct. 2001
      Osaka University, Graduate School of Engineering Science, 助手
    • From Apr. 1996, To Jun. 1998
      Waseda University, School of Science and Engineering, 助手

    Language of Instruction

    • English
    • Japanese

    ID,URL

    researchmap URL

    list
      Last Updated :2022/06/24

      Research

      Research Topics, Overview of the research

      • Research Topics

        Research on the discrete integrable systems, the special functions and the orthogonal polynomials.

      Research Interests

      • Special Functions
      • Cellular Automata
      • soliton
      • Ultradiscrete system
      • Orthogonal Polynomials
      • 可積分系
      • 離散可積分系

      Research Areas

      • Natural sciences, Applied mathematics and statistics
      • Natural sciences, Basic mathematics

      Papers

      • Perfect state transfer in two dimensions and the bivariate dual-Hahn polynomials
        Hiroshi Miki; Satoshi Tsujimoto; Luc Vinet
        Progress of Theoretical and Experimental Physics, May 2022, Peer-reviewed
      • The ultradiscrete Toda lattice and the Smith normal form of bidiagonal matrices
        Katsuki Kobayashi; Satoshi Tsujimoto
        Journal of Mathematical Physics, 01 Sep. 2021, Peer-reviewed
      • Two-Parameter Generalizations of Cauchy Bi-Orthogonal Polynomials and Integrable Lattices
        Xiang-Ke Chang; Shi-Hao Li; Satoshi Tsujimoto; Guo-Fu Yu
        Journal of Nonlinear Science, May 2021, Peer-reviewed
      • The rational Heun operator and Wilson biorthogonal functions
        Satoshi Tsujimoto; Luc Vinet; Alexei Zhedanov
        The Ramanujan Journal, 05 Mar. 2021, Peer-reviewed
      • Degenerate Sklyanin algebras, Askey–Wilson polynomials and Heun operators
        Julien Gaboriaud; Satoshi Tsujimoto; Luc Vinet; Alexei Zhedanov
        Journal of Physics A: Mathematical and Theoretical, 06 Nov. 2020, Peer-reviewed
      • An algebraic description of the bispectrality of the biorthogonal rational functions of Hahn type
        Satoshi Tsujimoto; Luc Vinet; Alexei Zhedanov
        Proceedings of the American Mathematical Society, Nov. 2020, Peer-reviewed
      • Dynamics of the ultra-discrete Toda lattice via Pitman's transformation
        David A. Croydon; Makiko Sasada; Satoshi Tsujimoto
        RIMS Kôkyûroku Bessatsu, Apr. 2020, Peer-reviewed, Invited
      • Dunkl-supersymmetric orthogonal functions associated with classical orthogonal polynomials
        Yu Luo; Satoshi Tsujimoto; Luc Vinet; Alexei Zhedanov
        Journal of Physics A: Mathematical and Theoretical, 28 Feb. 2020, Peer-reviewed
      • Spin Chains, Graphs and State Revival
        Hiroshi Miki; Satoshi Tsujimoto; Luc Vinet
        In: Foupouagnigni M., Koepf W. (eds) Orthogonal Polynomials. AIMSVSW 2018. Tutorials, Schools, and Workshops in the Mathematical Sciences. Birkhäuser, Cham, 2020, Peer-reviewed
      • The Heun-Askey-Wilson algebra and the Heun operator of Askey-Wilson type
        Pascal Baseilhac; Satoshi Tsujimoto; Luc Vinet; Alexei Zhedanov
        Annales Henri Poincaré, Jul. 2019, Peer-reviewed
      • Quantum walks on graphs of the ordered Hamming scheme and spin networks
        Hiroshi Miki; Satoshi Tsujimoto; Luc Vinet
        SciPost Physics, Jul. 2019, Peer-reviewed
      • Double affine Hecke algebra of rank 1 and orthogonal polynomials on the unit circle
        S. Tsujimoto; L. Vinet; A. Zhedanov
        Constructive Approximation, Jun. 2019, Peer-reviewed
      • Exceptional Bannai-Ito polynomials
        Yu Luo; Satoshi Tsujimoto
        Journal of Approximation Theory, Jan. 2019, Peer-reviewed
      • Dynamics of the box-ball system with random initial conditions via Pitman's transformation
        David Croydon; Tsuyoshi Kato; Makiko Sasada; Satoshi Tsujimoto
        Memoirs of the AMS, 2019, Peer-reviewed
      • Symmetric abstract hypergeometric polynomials
        Satoshi Tsujimoto; Luc Vinet; Guo-Fu Yu; Alexei Zhedanov
        JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Feb. 2018, Peer-reviewed
      • Generating functions for the Bannai-Ito polynomials
        G. Bergeron; L. Vinet; S. Tsujimoto
        Proceedings of the American Mathematical Society, 2018, Peer-reviewed
      • Linearization of the box-ball system: an elementary approach
        S. Kakei; J.J.C. Nimmo; S. Tsujimoto; R. Willox
        Journal of Integrable Systems, 2018, Peer-reviewed
      • Tridiagonal representations of the q-oscillator algebra and Askey-Wilson polynomials
        Satoshi Tsujimoto; Luc Vinet; Alexei Zhedanov
        JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Jun. 2017, Peer-reviewed
      • Persymmetric Jacobi matrices, isospectral deformations and orthogonal polynomials
        Vincent X. Genest; Satoshi Tsujimoto; Luc Vinet; Alexei Zhedanov
        JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Jun. 2017, Peer-reviewed
      • Spectral Analysis of Transition Operators, Automata Groups and Translation in BBS
        Tsuyoshi Kato; Satoshi Tsujimoto; Andrzej Zuk
        COMMUNICATIONS IN MATHEMATICAL PHYSICS, Feb. 2017, Peer-reviewed
      • A generalized eigenvalue algorithm for tridiagonal matrix pencils based on a nonautonomous discrete integrable system
        Kazuki Maeda; Satoshi Tsujimoto
        JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, Jul. 2016, Peer-reviewed
      • A new recurrence formula for generic exceptional orthogonal polynomials
        Hiroshi Miki; Satoshi Tsujimoto
        JOURNAL OF MATHEMATICAL PHYSICS, Mar. 2015, Peer-reviewed
      • The Bannai-Ito algebra and some applications
        Hendrik De Bie; Vincent X. Genest; Satoshi Tsujimoto; Luc Vinet; Alexei Zhedanov
        XXXTH INTERNATIONAL COLLOQUIUM ON GROUP THEORETICAL METHODS IN PHYSICS (ICGTMP) (GROUP30), 2015, Peer-reviewed
      • Automata groups and box-ball systems
        Satoshi Tsujimoto; Tsuyoshi Kato; Andrzej Zuk
        RIMS Kôkyûroku Bessatsu, Jun. 2014, Peer-reviewed
      • BANNAI-ITO POLYNOMIALS AND DRESSING CHAINS
        Maxim Derevyagin; Satoshi Tsujimoto; Luc Vinet; Alexei Zhedanov
        PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, Peer-reviewed
      • Direct Connection between the R-II Chain and the Nonautonomous Discrete Modified KdV Lattice
        Kazuki Maeda; Sathoshi Tsujimoto
        SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2013, Peer-reviewed
      • Convergence acceleration algorithms related to a generalized E-transformation and its particular cases
        Yi He; Xing-Biao Hu; Hon-Wah Tam; Satoshi Tsujimoto
        JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2013, Peer-reviewed
      • 直交多項式理論からみえてくる可積分系
        前田一貴; 三木啓司; 辻本 諭
        日本応用数理学会論文誌, 2013, Peer-reviewed
      • Padé interpolation for elliptic painlevé equation
        Masatoshi Noumi; Satoshi Tsujimoto; Yasuhiko Yamada
        Springer Proceedings in Mathematics and Statistics, 2013, Peer-reviewed
      • Dual -1 Hahn polynomials: "Classical" polynomials beyond the leonard duality
        Satoshi Tsujimoto; Luc Vinet; Alexei Zhedanov
        Proceedings of the American Mathematical Society, 2013, Peer-reviewed
      • Construction of the exceptional orthogonal polynomials and its application to the superintegrable system
        S. Tsujimoto
        RIMS Kôkyûroku Bessatsu, 2013, Peer-reviewed
      • Families of superintegrable Hamiltonians constructed from exceptional polynomials
        Sarah Post; Satoshi Tsujimoto; Luc Vinet
        JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Oct. 2012, Peer-reviewed
      • An algebraic model for the multiple Meixner polynomials of the first kind
        Hiroshi Miki; Satoshi Tsujimoto; Luc Vinet; Alexei Zhedanov
        JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Aug. 2012, Peer-reviewed
      • Quantum-state transfer in a two-dimensional regular spin lattice of triangular shape
        Hiroshi Miki; Satoshi Tsujimoto; Luc Vinet; Alexei Zhedanov
        Physical Review A - Atomic, Molecular, and Optical Physics, 08 Jun. 2012, Peer-reviewed
      • Dunkl shift operators and Bannai-Ito polynomials
        Satoshi Tsujimoto; Luc Vinet; Alexei Zhedanov
        ADVANCES IN MATHEMATICS, Mar. 2012, Peer-reviewed
      • Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems
        Hiroshi Miki; Hiroaki Goda; Satoshi Tsujimoto
        SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2012, Peer-reviewed
      • A rough analytic relation on partial differential equations
        Tsuyoshi Kato; Satoshi Tsujimoto
        Journal of Mathematics Research, 2012, Peer-reviewed
      • Jordan algebras and orthogonal polynomials
        Satoshi Tsujimoto; Luc Vinet; Alexei Zhedanov
        JOURNAL OF MATHEMATICAL PHYSICS, Oct. 2011, Peer-reviewed
      • Cauchy biorthogonal polynomials and discrete integrable systems
        Hiroshi Miki; Satoshi Tsujimoto
        Journal of Nonlinear Systems and Applications, 2011, Peer-reviewed
      • From sl(q)(2) to a Parabosonic Hopf Algebra
        Satoshi Tsujimoto; Luc Vinet; Alexei Zhedanov
        SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2011, Peer-reviewed
      • Exceptional Laguerre and Jacobi polynomials and the corresponding potentials through Darboux-Crum transformations
        Ryu Sasaki; Satoshi Tsujimoto; Alexei Zhedanov
        JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Aug. 2010, Peer-reviewed
      • Determinant solutions of the nonautonomous discrete Toda equation associated with the deautonomized discrete KP hierarchy
        Satoshi Tsujimoto
        JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, Feb. 2010, Peer-reviewed
      • Box-ball systems related to the nonautonomous ultradiscrete Toda equation on the finite lattice
        Kazuki Maeda; Satoshi Tsujimoto
        JSIAM Letters, 2010, Peer-reviewed
      • Elliptic Hypergeometric Laurent Biorthogonal Polynomials with a Dense Point Spectrum on the Unit Circle
        Satoshi Tsujimoto; Alexei Zhedanov
        SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2009, Peer-reviewed
      • A difference analogue of the Davey-Stewartson system: discrete Gram-type determinant solution and Lax pair
        Gegenhasi; Xing-Biao Hu; Decio Levi; Satoshi Tsujimoto
        JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Oct. 2007, Peer-reviewed
      • Integrable discrete time chains for the Frobenius-Stickelberger-Thiele polynomials
        V. P. Spiridonov; S. Tsujimoto; A. S. Zhedanov
        COMMUNICATIONS IN MATHEMATICAL PHYSICS, May 2007, Peer-reviewed
      • Determinant structure of non-autonomous Toda-type integrable systems
        A Mukaihira; S Tsujimoto
        JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, Jan. 2006, Peer-reviewed
      • 離散戸田方程式を用いた大規模疎行列の連立一次方程式,行列式,固有多項式の計算法
        木村欣司; 野呂正行; 辻本諭; 中村佳正
        日本応用数理学会論文誌, 25 Sep. 2005, Peer-reviewed
      • SOME ASPECTS OF THE TODA MOLECULE
        M. Nishizawa; Y. Ohta; S. Tsujimoto
        GLASGOW MATHEMATICAL JOURNAL, Jun. 2005, Peer-reviewed
      • Determinant structure of R-I type discrete integrable system
        A Mukaihira; S Tsujimoto
        JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, Apr. 2004, Peer-reviewed
      • On a discrete analogue of the two-dimensional Toda lattice hierarchy
        S Tsujimoto
        PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, Feb. 2002, Peer-reviewed
      • Pfaffianization of the discrete KP equation
        CR Gilson; JJC Nimmo; S Tsujimoto
        JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, Dec. 2001, Peer-reviewed
      • Soliton equations exhibiting Pfaffian solutions
        R Hirota; M Iwao; S Tsujimoto
        GLASGOW MATHEMATICAL JOURNAL, Jun. 2001, Peer-reviewed
      • The discrete Lotka-Volterra system computes singular values
        S Tsujimoto; Y Nakamura; M Iwasaki
        INVERSE PROBLEMS, Feb. 2001, Peer-reviewed
      • Ultradiscrete KdV equation
        S Tsujimoto; R Hirota
        JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Jun. 1998, Peer-reviewed
      • Pfaffian representation of solutions to the discrete BKP hierarchy in bilinear form
        S Tsujimoto; R Hirota
        JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Sep. 1996, Peer-reviewed
      • CONSERVED QUANTITIES OF A CLASS OF NONLINEAR DIFFERENCE-DIFFERENCE EQUATIONS
        R HIROTA; S TSUJIMOTO
        JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Sep. 1995, Peer-reviewed
      • High Precision Simulation of Soliton Problems
        K. Horiuchi; S. Oishi; R. Hirota; S. Tsujimoto
        in "Ultrafast and Ultra-parallel Optoelectronics'', ed. by T. Sueta and T.Okoshi, Ohmsha limited, 1995, Peer-reviewed
      • DISCRETE 2N-WAVE INTERACTION
        R HIROTA; T IMAI; S TSUJIMOTO; Y OHTA
        MATHEMATICS AND COMPUTERS IN SIMULATION, Dec. 1994, Peer-reviewed
      • NEW COUPLED INTEGRABLE DISPERSIONLESS EQUATIONS
        R HIROTA; S TSUJIMOTO
        JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Sep. 1994, Peer-reviewed
      • CASORATI AND DISCRETE GRAM TYPE DETERMINANT REPRESENTATIONS OF SOLUTIONS TO THE DISCRETE KP HIERARCHY
        Y OHTA; R HIROTA; S TSUJIMOTO; T IMAI
        JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Jun. 1993, Peer-reviewed
      • DIFFERENCE SCHEME OF SOLITON-EQUATIONS
        R HIROTA; S TSUJIMOTO; T IMAI
        FUTURE DIRECTIONS OF NONLINEAR DYNAMICS IN PHYSICAL AND BIOLOGICAL SYSTEMS, 1993, Peer-reviewed

      Misc.

      • 新しい箱玉系のルールとその解析
        辻本 諭
        九州大学応用力学研究所研究集会報告, Mar. 2017, Peer-reviewed
      • A parallelization of singular value computation algorithm by the Lotka-Volterra system
        Konda T; Takata M; Iwasaki M; Tsujimoto S; Nakamura Y
        IPSJ SIG Technical Reports, Dec. 2004
      • 3a-G-6 Numerical Scheme of the KdV Equation II periodic boundary condition
        Minegishi H.; Tsujimoto S.; Hirota R.
        Abstracts of the meeting of the Physical Society of Japan. Annual meeting, 15 Mar. 1996
      • RII 格子と非自励離散 mKdV 方程式
        前田一貴; 辻本諭
        九州大学応用力学研究所研究集会報告, Mar. 2014, Peer-reviewed
      • 離散可積分系の観点からのdqds法の拡張について
        前田一貴; 辻本諭
        九州大学応用力学研究所研究集会報告, Mar. 2013, Peer-reviewed
      • RII 格子と対応する箱玉系について
        前田一貴; 辻本諭
        九州大学応用力学研究所研究集会報告, Mar. 2012, Peer-reviewed
      • 各箱の容量が一般の運搬車付き箱玉系と有限格子上の超離散系
        前田一貴; 辻本諭
        九州大学応用力学研究所研究集会報告, Mar. 2011
      • 離散可積分特異値計算法の高速化とその数値安定性
        岩崎 雅史; 中村 佳正; 辻本 諭
        九州大学応用力学研究所研究集会報告, 2002
      • 連分数と可積分系
        岩崎 雅史; 向平 敦史; 中村 佳正; 辻本 諭
        数理解析研究所講究録, Jul. 2001
      • 3a-G-4 Pfafan Representation of Solutions to the Discrete BKP Hierarchy
        Tsujimoto S.; Hirota R.
        Abstracts of the meeting of the Physical Society of Japan. Annual meeting, 15 Mar. 1996

      Presentations

      • 3a-G-6 Numerical Scheme of the KdV Equation II periodic boundary condition
        Minegishi H.; Tsujimoto S.; Hirota R.
        Abstracts of the meeting of the Physical Society of Japan. Annual meeting, 15 Mar. 1996, The Physical Society of Japan (JPS)
      • 3a-G-4 Pfafan Representation of Solutions to the Discrete BKP Hierarchy
        Tsujimoto S.; Hirota R.
        Abstracts of the meeting of the Physical Society of Japan. Annual meeting, 15 Mar. 1996, The Physical Society of Japan (JPS)

      Books and Other Publications

      • Mathematics of integrable systems
        TSUJIMOTO Satoshi, Contributor, Chapter 2
        Asakura, Mar. 2018, Not refereed
      • 数理工学のすすめ
        辻本 諭, Contributor, 京都大学数理工学コース編 (pp.127-131)
        現代数学社, 2004, Not refereed
      • Applied Mathematics of Integrable systems
        TSUJIMOTO Satoshi, Contributor, Chapter 1
        Shokabo, 2000, Not refereed

      Awards

      • 2000
        Physical Society of Japan, Outstanding Paper Award of the Physical Society of Japan

      External funds: Kakenhi

      • スクリャーニン・ホイン演算子とホイン・バンルベ対応に関する研究
        Grant-in-Aid for JSPS Fellows
        Basic Section 12020:Mathematical analysis-related
        Kyoto University
        From 18 Nov. 2021, To 31 Mar. 2024, Declined
      • Analysis of discrete Integrable systems by probability theory based on Pitman's transformation
        Grant-in-Aid for Scientific Research (B)
        Basic Section 12010:Basic analysis-related
        Kyoto University
        辻本 諭
        From 01 Apr. 2019, To 31 Mar. 2024, Granted
        離散可積分系;確率論;Pitman変換;箱玉系
      • Pentagram map in tropical geometry and its application to discrete Morse theory
        Grant-in-Aid for Challenging Research (Exploratory)
        Kyoto University
        Tsuyoshi Kato
        From 30 Jun. 2017, To 31 Mar. 2020, Project Closed
        トロピカル幾何学;力学系;Pitman変換;Nahm変換;量子ランダムウオーク;ホモトピー型;箱玉系;ピットマン変換;Pentagram写像;離散モース理論
      • Classification and analysis of Turing type automata
        Grant-in-Aid for Challenging Exploratory Research
        Kyoto University
        SATOSHI TSUJIMOTO
        From 01 Apr. 2016, To 31 Mar. 2019, Project Closed
        オートマトン;離散可積分系;箱玉系;Pitman変換;確率論;ピットマン変換;特殊関数;ソリトン;直交多項式;力学系;可積分系
      • Theory of classical orthogonal polynomials in terms of discrete integrable systems and its applications
        Grant-in-Aid for Scientific Research (C)
        Kyoto University
        SATOSHI TSUJIMOTO
        From 01 Apr. 2013, To 31 Mar. 2016, Project Closed
        力学系・可積分系;直交多項式;特殊関数;古典直交多項式;例外型直交多項式;箱玉系;オートマトン;離散可積分系;国際研究者交流 ウクライナ
      • Research on systems of the biorthogonal functions, discrete andultradiscrete integrable systems, and their applications
        Grant-in-Aid for Scientific Research (C)
        Kyoto University
        Satoshi TSUJIMOTO
        From 01 Apr. 2010, To 31 Mar. 2013, Project Closed
        可積分系;離散可積分系;超離散可積分系;古典直交多項式;双直交関数系;一般化固有値問題;国際情報交換;アルゴリズム;応用数学;数理工学;直交多項式;量子力学
      • Development of Innovative Library for Singular Value Decomposition Suited to Multi-Core Processors
        Grant-in-Aid for Scientific Research (A)
        Kyoto University
        Yoshimasa NAKAMURA
        Project Closed
        数理工学(数理的解析・計画・設計・最適化);特異値分解;マルチコアプロセッサ;特異値計算;原点シフト戦略;GPGPU;並列計算;ライブラリ;クラウドコンピューティング;ライブラリー;可積分系;計算アルゴリズム;ダルブ変換;グラフィックスプロセッサ;単精度GPU;倍精度GPU;GPU;原点シフト
      • Research on the algebraic structure of theToda type non-autonomous discrete integrable systems and its applications
        Grant-in-Aid for Scientific Research (C)
        Kyoto University
        Satoshi TSUJIMOTO
        Project Closed
        アルゴリズム;応用数学;数理工学;可積分系
      • Application of the discrete integrable systems on the semi-infinite lattice to the system of the bi-orthogonal polynomials
        Grant-in-Aid for Scientific Research (C)
        KYOTO UNIVERSITY
        Satoshi TSUJIMOTO
        Project Closed
        ソリトン;離散系;可積分系;直交多項式;行列式の恒等式;双直交多項式;Lotka-Volterra方程式;半無限行列式解;行列式;半無限格子解, soliton;discrete system;integrable system;orthogonal polynomial;identity of determinant;bi-orthogonal polynomial;Lotka-Volterra equation;molecule solution
      • Development of innovative numerical integrators which preserving all of the conserved quantities
        Grant-in-Aid for Scientific Research (B)
        Kyoto University
        Yoshimasa NAKAMURA
        Project Closed
        重力3体運動;全保存型差分法;ケプラー運動;ラグランジュの平衡解;数値積分スキーム;エネルギー保存差分法;シンプレクティック法;数値積分法;ステッケル系;重力2中心問題;Kepler運動;保存量;差分スキーム, gravitational 3・body motion;totally conservative integrator;Kepler motion;Langrage's equilateral triangle;energy preserving difference solution;numerical integrator;symplectic integrator method
      • Research on algebraic structures of ultradiscrete soliton equations and applications to engineering
        Grant-in-Aid for Scientific Research (C)
        Osaka University
        Atsushi NAGAI
        Project Closed
        箱玉系;可積分系;離散、超離散;非整数階微分;ミッタークレフラー関数;グリーン関数;逆超離散化;RI格子;q差分;非整数階微分、差分;可解格子模型;離散;超離散;ソリトン;クリスタル;ソリトンセルオートマトン;保存量;4階微分方程式;パフィアン, box and ball systems;integrable system;discrete, ultradiscrete;fractional derivative;MIttag-Leffler function;Green function;inverse ultradiscretization;RI chain
      • Studies on the orthogonal polynomials, the continued fractions and the discrete integrable systems
        Grant-in-Aid for Scientific Research (C)
        Kyoto University;Osaka University
        Satoshi TSUJIMOTO
        Project Closed
        離散可積分系;直交多項式;連分数展開;戸田方程式;ロトカ・ポルテラ方程式;アルゴリズム;固有値計算;行列式の恒等式;ロトカ・ボルテラ方程式;ソリトン;離散化;行列式;可積分系;有理多項式;Volterra方程式, discrete integrable system;orthogonal polynomial;Toda equation;Lotka-Volterra equation;algorithm;eigen-value problem;identity of determinants;continued fractions
      • Research of Algorithms in terms of Information Geometry Structure and Discrete Time Integrable Systems
        Grant-in-Aid for Scientific Research (B)
        KYOTO UNIVERSITY;Osaka University
        Yoshimasa NAKAMURA
        Project Closed
        離散時間可積分系;数値計算アルゴリズム;並列計算;情報幾何;算術調和アルゴリズム;並立計算;可積分系;差分スキーム;離散ケプラー運動;情報幾何構造;算術調和平均のアルゴリズム;アルゴリズム;ソリトン;カオス系, discrete-time integrable systems;numerical algorithms;parallel computing;information geometry;arithmetic harmonic mean algorithm
      • Affine Lie algebra characters and Bethe Ansatz
        Grant-in-Aid for Scientific Research (C)
        Osaka University
        Masato OKADO
        Project Closed
        アフィンリー環;量子群;可積分系, Affine Lie algebra;quantum group;integrable system
      • Studies on the Discrete Calculus and Its Application to Engineerings
        Grant-in-Aid for Scientific Research (C)
        Waseda University
        Ryogo HIROTA
        Project Closed
        超差分(離散)方程式;可積分系の差分化;非線形差分方程式;差分学;セル・オートマトン;交通流;パターン形成;特異値分解;可積分;差分化;Pfaffian;保存量;コマの運動方程式;超離散方程式;ソーテング;ソリトン;結合型MKdV方程式;交通流モデル;KdV方程式;バーガーズ方程式;ミウラ変換;Max-Plus代数, difference equation;ultradiscrete equation;integrable systems;difference calculus;cellular automaton;Traffic flow;pattern formation;singular values
      • 非線形可積分系の離散化とその応用
        Grant-in-Aid for Encouragement of Young Scientists (A)
        Osaka University;Waseda University
        辻本 諭;辻本 論
        Project Closed
        非線形可積分系;KdV方程式;ソリトン;離散方程式;超離散方程式;双線形化法;保存量;代数的恒等式
      • スクリャーニン・ホイン演算子とホイン・バンルベ対応に関する研究
        Grant-in-Aid for JSPS Fellows
        Basic Section 12020:Mathematical analysis-related
        Kyoto University
        From 22 Apr. 2022, To 31 Mar. 2024, Adopted
      list
        Last Updated :2022/06/24

        Education

        Teaching subject(s)

        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar in Mathematical Analysis
          3451, Year-long, Graduate School of Informatics, 2
        • From 01 Apr. 2022, To 31 Mar. 2023
          Applied Algebra
          9031, Fall, Faculty of Engineering, 2
        • From 01 Apr. 2022, To 31 Mar. 2023
          Linear Algebra A
          N120, Spring, Institute for Liberal Arts and Sciences, 2
        • From 01 Apr. 2022, To 31 Mar. 2023
          Linear Algebra B
          N121, Fall, Institute for Liberal Arts and Sciences, 2
        • From 01 Apr. 2022, To 31 Mar. 2023
          Mathematical Analysis, Advanced
          3410, Fall, Graduate School of Informatics, 2
        • From Apr. 2011, To Mar. 2012
          数理解析特論
          Fall, 情報学研究科
        • From Apr. 2011, To Mar. 2012
          応用代数学
          Fall, 工学部
        • From Apr. 2011, To Mar. 2012
          数理工学特別研究1
          Year-long, 情報学研究科
        • From Apr. 2011, To Mar. 2012
          数理工学特別研究2
          Year-long, 情報学研究科
        • From Apr. 2011, To Mar. 2012
          応用数学特別セミナー
          Fall, 情報学研究科
        • From Apr. 2011, To Mar. 2012
          工業数学A3
          Spring, 工学部
        • From Apr. 2012, To Mar. 2013
          Appleid Mathematics A3
          Spring, 工学部
        • From Apr. 2012, To Mar. 2013
          Applied Algebra
          Fall, 工学部
        • From Apr. 2012, To Mar. 2013
          Seminar on Applied Mathematics, Advanced
          Fall, 情報学研究科
        • From Apr. 2012, To Mar. 2013
          Advanced Study in Applied Mathematics and Physics II
          Year-long, 情報学研究科
        • From Apr. 2012, To Mar. 2013
          Advanced Study in Applied Mathematics and Physics I
          Year-long, 情報学研究科
        • From Apr. 2012, To Mar. 2013
          Mathematical Analysis, Advanced
          Fall, 情報学研究科
        • From Apr. 2013, To Mar. 2014
          Appleid Mathematics A3
          Spring, 工学部
        • From Apr. 2013, To Mar. 2014
          Applied Algebra
          Fall, 工学部
        • From Apr. 2013, To Mar. 2014
          Mathematical Analysis, Advanced
          Fall, 情報学研究科
        • From Apr. 2013, To Mar. 2014
          Advanced Study in Applied Mathematics and Physics I
          Year-long, 情報学研究科
        • From Apr. 2013, To Mar. 2014
          Advanced Study in Applied Mathematics and Physics II
          Year-long, 情報学研究科
        • From Apr. 2013, To Mar. 2014
          Seminar on Applied Mathematics, Advanced
          Fall, 情報学研究科
        • From Apr. 2013, To Mar. 2014
          Perspective in Informatics 2
          Spring, 情報学研究科
        • From Apr. 2014, To Mar. 2015
          Appleid Mathematics A3
          Spring, 工学部
        • From Apr. 2014, To Mar. 2015
          Applied Algebra
          Fall, 工学部
        • From Apr. 2014, To Mar. 2015
          Mathematical Analysis, Advanced
          Fall, 情報学研究科
        • From Apr. 2014, To Mar. 2015
          Advanced Study in Applied Mathematics and Physics I
          Year-long, 情報学研究科
        • From Apr. 2014, To Mar. 2015
          Advanced Study in Applied Mathematics and Physics II
          Year-long, 情報学研究科
        • From Apr. 2014, To Mar. 2015
          Seminar on Applied Mathematics, Advanced
          Fall, 情報学研究科
        • From Apr. 2014, To Mar. 2015
          Prejudice,Discrimination, and Human Rights
          Fall, 全学共通科目
        • From Apr. 2015, To Mar. 2016
          Applied Mathematics A2
          Spring, 工学部
        • From Apr. 2015, To Mar. 2016
          Applied Algebra
          Fall, 工学部
        • From Apr. 2015, To Mar. 2016
          Seminar on Applied Mathematics, Advanced
          Fall, 情報学研究科
        • From Apr. 2015, To Mar. 2016
          Introduction to Applied Mathematics and Physics
          Spring, 工学部
        • From Apr. 2015, To Mar. 2016
          Advanced Study in Applied Mathematics and Physics II
          Year-long, 情報学研究科
        • From Apr. 2015, To Mar. 2016
          Advanced Study in Applied Mathematics and Physics I
          Year-long, 情報学研究科
        • From Apr. 2015, To Mar. 2016
          Mathematical Analysis, Advanced
          Fall, 情報学研究科
        • From Apr. 2016, To Mar. 2017
          Applied Mathematics A2
          Spring, 工学部
        • From Apr. 2016, To Mar. 2017
          Applied Algebra
          Fall, 工学部
        • From Apr. 2016, To Mar. 2017
          Seminar on Applied Mathematics, Advanced
          Fall, 情報学研究科
        • From Apr. 2016, To Mar. 2017
          Perspective in Informatics 2
          Spring, 情報学研究科
        • From Apr. 2016, To Mar. 2017
          Introduction to Applied Mathematics and Physics
          Spring, 工学部
        • From Apr. 2016, To Mar. 2017
          Advanced Study in Applied Mathematics and Physics II
          Year-long, 情報学研究科
        • From Apr. 2016, To Mar. 2017
          Advanced Study in Applied Mathematics and Physics I
          Year-long, 情報学研究科
        • From Apr. 2016, To Mar. 2017
          Mathematical Analysis, Advanced
          Fall, 情報学研究科
        • From Apr. 2017, To Mar. 2018
          Applied Mathematics A2
          Spring, 工学部
        • From Apr. 2017, To Mar. 2018
          Applied Algebra
          Fall, 工学部
        • From Apr. 2017, To Mar. 2018
          Seminar on Applied Mathematics, Advanced
          Fall, 情報学研究科
        • From Apr. 2017, To Mar. 2018
          Introduction to Applied Mathematics and Physics
          Spring, 工学部
        • From Apr. 2017, To Mar. 2018
          Advanced Study in Applied Mathematics and Physics II
          Year-long, 情報学研究科
        • From Apr. 2017, To Mar. 2018
          Advanced Study in Applied Mathematics and Physics I
          Year-long, 情報学研究科
        • From Apr. 2017, To Mar. 2018
          Mathematical Analysis, Advanced
          Fall, 情報学研究科
        • From Apr. 2018, To Mar. 2019
          Applied Mathematics A2
          Spring, 工学部
        • From Apr. 2018, To Mar. 2019
          Applied Algebra
          Fall, 工学部
        • From Apr. 2018, To Mar. 2019
          Mathematical Analysis, Advanced
          Fall, 工学研究科
        • From Apr. 2018, To Mar. 2019
          Mathematical Analysis, Advanced
          Fall, 情報学研究科
        • From Apr. 2019, To Mar. 2020
          ILAS Seminar
          Spring, 全学共通科目
        • From Apr. 2019, To Mar. 2020
          Applied Mathematics A2
          Spring, 工学部
        • From Apr. 2019, To Mar. 2020
          Applied Algebra
          Fall, 工学部
        • From Apr. 2019, To Mar. 2020
          Mathematical Analysis, Advanced
          Fall, 情報学研究科
        • From Apr. 2020, To Mar. 2021
          Applied Mathematics A2
          Spring, 工学部
        • From Apr. 2020, To Mar. 2021
          Applied Algebra
          Fall, 工学部
        • From Apr. 2020, To Mar. 2021
          Mathematical Analysis, Advanced
          Fall, 情報学研究科
        • From Apr. 2021, To Mar. 2022
          Applied Algebra
          Fall, 工学部
        • From Apr. 2021, To Mar. 2022
          Seminar in Mathematical Analysis
          Year-long, 情報学研究科
        • From Apr. 2021, To Mar. 2022
          Mathematical Analysis, Advanced
          Fall, 情報学研究科
        • From Apr. 2021, To Mar. 2022
          Linear Algebra A
          Spring, 全学共通科目
        • From Apr. 2021, To Mar. 2022
          Linear Algebra B
          Fall, 全学共通科目

        Participation in PhD Defense

        • Studies on Discrete Integrable Systems with Positivity and Their Applications
          KOBAYASHI KATSUKI, Graduate School of Informatics, Chief Examiner
          23 Mar. 2022
        list
          Last Updated :2022/06/24

          Administration

          Faculty management (title, position)

          • From 01 Apr. 2011, To 31 Mar. 2012
            財務委員会委員
          • From 01 Apr. 2011, To 31 Mar. 2012
            8号館耐震改修WG委員
          • From 01 Apr. 2012, To 31 Mar. 2013
            財務委員会委員
          • From 01 Apr. 2012, To 31 Mar. 2013
            8号館耐震改修WG委員
          • From 01 Apr. 2013, To 31 Mar. 2014
            財務委員会委員
          • From 01 Apr. 2014, To 31 Mar. 2015
            教務委員会委員
          • From 01 Apr. 2017, To 31 Mar. 2018
            評価WG委員
          • From 01 Apr. 2018, To 31 Mar. 2019
            財務委員会委員
          • From 01 Apr. 2018, To 31 Mar. 2019
            ハラスメント窓口相談員
          • From 01 Apr. 2019, To 31 Mar. 2021
            基盤整備委員会委員
          • From 01 Apr. 2019, To 31 Mar. 2021
            人を対象とする研究倫理小委員会委員長
          • From 01 Apr. 2020, To 31 Mar. 2021
            ハラスメント窓口相談員
          • From 01 Apr. 2021, To 31 Mar. 2023
            財務委員会委員

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