Miyaji, Tomoyuki(Graduate School of Science, Division of Mathematics and Mathematical Sciences) | Activity Database on Education and Research, Kyoto University

Miyaji, Tomoyuki

Graduate School of Science, Division of Mathematics and Mathematical Sciences Associate Professor

Last Updated :2026/01/27

Basic Information

Faculty

理学部

Email Address

Email Address
miyaji.tomoyuki.4mkyoto-u.ac.jp

Professional Memberships

From Oct. 2012, To Present
The Japan Society for Industrial and Applied Mathematics

From Oct. 2009, To Present
The Mathematical Society of Japan

From Oct. 2005, To Present
Society of Industrial and Applied Mathematics (SIAM)

Academic Degree

Master of Science(Hiroshima University)

Ph. D in Science(Hiroshima University)

Academic Resume (Graduate Schools)

Hiroshima University, Graduate School of Science, Department of Mathematical and Life Sciences, 修了

Hiroshima University, Graduate School of Science, Department of Mathematical and Life Sciences, 修了

Academic Resume (Undergraduate School/Majors)

Hiroshima University, Faculty of Science, 卒業

Research History

From Apr. 2019, To Present
Kyoto University, Graduate School of Science, Associate Professor

From Apr. 2018, To Mar. 2019
Meiji University, Organization for the Strategic Coordination of Research and Intellectual Properties, Associate Professor

From Oct. 2014, To Mar. 2018
Meiji University, Organization for the Strategic Coordination of Research and Intellectual Properties, 特任講師

From Apr. 2012, To Oct. 2014
Japan Society for the Promotion of Science, Research Fellow (PD)

From Apr. 2008, To Mar. 2010
Japan Society for the Promotion of Science, Research Fellow (DC2)

ID,URL

ORCID ID
0000-0002-2599-5409
J-Global ID
201801006213567450
Researcher number
20613342

Website(s) (URL(s))

https://github.com/tmiyaji

researchmap URL

https://researchmap.jp/7000027519

Last Updated :2026/01/27

Research

Research Topics, Overview of the research

Research Topics
The topics I am interested in are as follows: (1) Numerical bifurcation analysis and Conley-Morse graphs, (2) A billiard problem in nonlinear and nonequilibrium systems, (3) Application of computer-assisted proofs via interval arithmetic.
Overview of the research
My research interest is understanding pattern formation phenomena from a viewpoint of bifurcation theory of dynamical systems. I am also interested in computer-assisted proofs based on interval arithmetic.

Research Interests

Dynamical Systems

Applied Dynamical Systems

Bifurcation Theory

Computer-assisted proof

Numerical verification

ダイナミクス全構造計算法

Research Areas

Natural sciences, Applied mathematics and statistics

Papers

Erratum: Stability of stationary solution for the Lugiato-Lefever equation (Tohoku Mathematics Journal (2011) (63) DOI: 10.2748/tmj/1325886285)
Tomoyuki Miyaji; Isamu Ohnishi; Yoshio Tsutsumi
Tohoku Mathematical Journal, 01 Sep. 2020

Nonlinear delay difference equation with bistability as a new traffic flow model
Kazuya Okamoto; Tomoyuki Miyaji; Akiyasu Tomoeda
Physica Scripta, 21 Mar. 2024, Peer-reviewed

Another computer-assisted proof of unimodality of solutions for Proudman–Johnson equation
Yoshitaka Watanabe; Tomoyuki Miyaji
Japan Journal of Industrial and Applied Mathematics, Jan. 2024, Peer-reviewed

Asymptotic reflection of a self-propelled particle from a boundary wall
Tomoyuki Miyaji; Robert Sinclair
Japan Journal of Industrial and Applied Mathematics, 08 Jul. 2023, Peer-reviewed, Corresponding author

Reflection of a self-propelling rigid disk from a boundary
Shin-Ichiro Ei; Masayasu Mimura; Tomoyuki Miyaji
Discrete & Continuous Dynamical Systems - S, Dec. 2019, Peer-reviewed, Invited, Corresponding author

Human photoplethysmogram through the Morse graph: Searching for the saddle point in experimental data
T. Miyaji; N. Sviridova; K. Aihara; T. Zhao; A. Nakano
Chaos, Apr. 2019, Peer-reviewed

Existence proof of unimodal solutions of the Proudman--Johnson equation via interval analysis
Tomoyuki Miyaji; Hisashi Okamoto
Japan J. Indust. Appl. Math., Jan. 2019, Peer-reviewed

Unimodal solutions of the generalized Constantin--Lax--Majda equation with viscosity
Sun-Chul Kim; Tomoyuki Miyaji; Hisashi Okamoto
Japan Journal of Industrial and Applied Mathematics, Aug. 2018, Peer-reviewed

Steady-state mode interactions of radially symmetric modes for the Lugiato-Lefever equation on a disk
Tomoyuki Miyaji; Yoshio Tsutsumi
Communications on Pure and Applied Analysis, 01 Jul. 2018, Peer-reviewed, Invited

Bifurcation structure of a car-following model with nonlinear dependence on the relative velocity
Akiyasu Tomoeda; Tomoyuki Miyaji; Kota Ikeda
Transportmetrica A: Transport Science, 28 May 2018, Peer-reviewed

Rippling rectangular waves for a modified Benney equation
T. Miyaji; T. Ogawa; A. Sekisaka
Japan Journal of Industrial and Applied Mathematics, May 2018, Peer-reviewed

Existence of global solutions and global attractor for the third order Lugiato-Lefever equation on T
Tomoyuki Miyaji; Yoshio Tsutsumi
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, Dec. 2017, Peer-reviewed

Local well-posedness of the NLS equation with third order dispersion in negative Sobolev spaces
T. Miyaji; Y. Tsutsumi
Differential Integral Equations, Oct. 2017, Peer-reviewed

Unimodal patterns appearing in the two-dimensional Navier-Stokes flows under general forcing at large Reynolds numbers
Sun-Chul Kim; Tomoyuki Miyaji; Hisashi Okamoto
EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, Sep. 2017, Peer-reviewed

Arnold tongues in a billiard problem in nonlinear and nonequilibrium systems
Tomoyuki Miyaji
PHYSICA D-NONLINEAR PHENOMENA, Feb. 2017, Peer-reviewed

A study of rigorous ODE integrators for multi-scale set-oriented computations
Tomoyuki Miyaji; Pawel Pilarczyk; Marcio Gameiro; Hiroshi Kokubu; Konstantin Mischaikow
APPLIED NUMERICAL MATHEMATICS, Sep. 2016, Peer-reviewed

Analysis of a method for constructing a cellular automaton from a continuous system
Akane Kawaharada and; Tomoyuki Miyaji; Naoto Nakano
International Journal of Networking and Computing, Jul. 2016, Peer-reviewed

Three-dimensional forced-damped dynamical systems with rich dynamics: Bifurcations, chaos and unbounded solutions
Tomoyuki Miyaji; Hisashi Okamoto; Alex D. D. Craik
PHYSICA D-NONLINEAR PHENOMENA, Sep. 2015, Peer-reviewed

A Four-Leaf Chaotic Attractor of a Three-Dimensional Dynamical System
Tomoyuki Miyaji; Hisashi Okamoto; Alex D. D. Craik
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, Feb. 2015, Peer-reviewed

A computer-assisted proof of existence of a periodic solution
Tomoyuki Miyaji; Hisashi Okamoto
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, Dec. 2014, Peer-reviewed

Craik's 3D dynamical system arising in fluid mechanics
数理解析研究所講究録, Jul. 2014

STABILITY OF A STATIONARY SOLUTION FOR THE LUGIATO-LEFEVER EQUATION
Tomoyuki Miyaji; Isamu Ohnishi; Yoshio Tsutsumi
TOHOKU MATHEMATICAL JOURNAL, Dec. 2011, Peer-reviewed, Invited

Mathematical analysis to coupled oscillators system with a conservation law
Tomoyuki Miyaji; Isamu Ohnishi; Ryo Kobayashi; Atsuko Takamatsu
RIMS Kôkyûroku Bessatsu, Dec. 2010, Peer-reviewed

Bifurcation analysis to the Lugiato-Lefever equation in one space dimension
T. Miyaji; I. Ohnishi; Y. Tsutsumi
PHYSICA D-NONLINEAR PHENOMENA, Nov. 2010, Peer-reviewed

Computational Ability of Cells based on Cell Dynamics and Adaptability
Toshiyuki Nakagaki; Atsushi Tero; Ryo Kobayashi; Isamu Onishi; Tomoyuki Miyaji
NEW GENERATION COMPUTING, Nov. 2008, Peer-reviewed

Failure to the shortest path decision of an adaptive transport network with double edges in Plasmodium system
Tomoyuki Miyaji; Isamu Ohnishi; Atsushi Tero; Toshiyuki Nakagaki
International Journal of Dynamical Systems and Differential Equations, Jul. 2008, Peer-reviewed

A billiard problem in nonlinear and nonequilibrium systems
Masayasu Mimura; Tomoyuki Miyaji; Isamu Ohnishi
HIROSHIMA MATHEMATICAL JOURNAL, Nov. 2007, Peer-reviewed

Mathematical analysis to an adaptive network of the plasmodium system
Tomoyuki Miyaji; Isamu Ohnishi
Hokkaido Mathematical Journal, 2007, Peer-reviewed

Misc.

単一の時系列データにおける渋滞発生の予兆検知について
中村佳祐; 岡本和也; 林邦好; 宮路智行; 友枝明保
第31回交通流と自己駆動粒子系のシンポジウム論文集, Dec. 2025, Peer-reviewed

Computer-Aided Bifurcation Analysis for a Novel Car-Following Model with Relative Velocity Effect
Akiyasu Tomoeda; Tomoyuki Miyaji; Kota Ikeda
Traffic and Granular Flow'15, Dec. 2016, Peer-reviewed

Bifurcation Structure of a Novel Car-following Model with Relative Velocity Effect
友枝明保; 宮路智行; 池田幸太
武蔵野大学数理工学センター紀要, Mar. 2016, Peer-reviewed

Proper choice of spatio-temporal scale and dataset subsampling for empirical CA construction
Akane Kawaharada; Tomoyuki Miyaji; Naoto Nakano
PROCEEDINGS OF 2015 THIRD INTERNATIONAL SYMPOSIUM ON COMPUTING AND NETWORKING (CANDAR), 2015, Peer-reviewed

An analyzable method for constructing a cellular automaton from a continuous system
Akane Kawaharada; Tomoyuki Miyaji; Naoto Nakano
PROCEEDINGS OF 2015 THIRD INTERNATIONAL SYMPOSIUM ON COMPUTING AND NETWORKING (CANDAR), 2015, Peer-reviewed

交通流数理モデルと時間遅れ : 偏差分方程式で記述する新しい交通流モデル
友枝明保; 岡本和也; 宮路智行
京都大学数理解析研究所講究録「時間遅れ系と数理科学-理論と応用の新たな展開に向けて」, Jun. 2024, Invited

矢崎成俊「実験数学読本──真剣に遊ぶ数理実験から大学数学へ」（日本評論社, 2016）
宮路智行
JSIAM Online Magazine, 02 Feb. 2019

The 9th AIMS Conference on Dynamical Systems, Differential Equations and Applications—湖のほとり，魔法の国のとなり—
宮路智行
JSIAM Online Magazine, 27 Jan. 2013

Erratum: Computing Morse decomposition of ODEs via Runge-Kutta method
Yuki Chiba; Tomoyuki Miyaji; Toshiyuki Ogawa
JSIAM Letters, Jan. 2022, Corresponding author

Mathematical results of an adaptive transport network with double edges of Plasmodium(Recent Developments in Dynamical Systems)
Miyaji Tomoyuki; Ohnishi Isamu
RIMS Kokyuroku, May 2007
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Mathematical analysis to coupled oscillators system with a conservation law (Mathematical Aspects for nonlinear problems related to Life-phenomena)
Miyaji Tomoyuki; Ohnishi Isamu; Kobayashi Ryo
RIMS Kokyuroku, Oct. 2008
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On Physarum solver on Riemannian surface (Mathematical Aspects for nonlinear problems related to Life-phenomena)
Miyaji Tomoyuki; Ohnishi Isamu
RIMS Kokyuroku, Oct. 2008
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CAN PHYSARUM SOLVE THE SHORTEST PATH PROBLEM MATHEMATICALLY RIGOROUSLY ?(Theory of Biomathematics and its Applications III)
MIYAJI TOMOYUKI; OHNISHI ISAMU
RIMS Kokyuroku, Apr. 2007
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Mathematical analysis to coupled oscillators system with a conservation law (Theory of Biomathematics and its Applications IV)
Miyaji Tomoyuki; Ohnishi Isamu
RIMS Kokyuroku, May 2008
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Computing Morse decomposition of ODEs via Runge-Kutta method
Yuki Chiba; Tomoyuki Miyaji; Toshiyuki Ogawa
JSIAM Letters, Aug. 2021, Peer-reviewed, Corresponding author

数理モデルができるまで第８回自己駆動粒子のビリヤード問題（２）
三村昌泰; 宮路智行
数学セミナー, Feb. 2021

数理モデルができるまで第７回自己駆動粒子のビリヤード問題（１）
三村昌泰; 宮路智行
数学セミナー, Jan. 2021

Numerical Bifurcation Analysis for Dynamical Systems
Tomoyuki Miyaji
Bulletin of the Japan Society for Industrial and Applied Mathematics, Mar. 2022, Peer-reviewed, Corresponding author

Presentations

Another computer-assisted proof of unimodal solutions of the Proudman–Johnson equation
Tomoyuki Miyaji
18th East Asia Section of Society for Industrial & Applied Mathematics (ESIAM) Conference, 02 Jul. 2025

Numerical bifurcation analysis for a delay difference equation model for traffic flow
Tomoyuki Miyaji
RIMS Symposia (open) Integration of theory and application for a deeper understanding of nonlinear phenomena, 01 Nov. 2024, Invited

Neimark-Sacker bifurcations in a delay difference equation model for traffic flow
Tomoyuki Miyaji; Kazuya Okamoto; Akiyasu Tomoeda
日本応用数理学会2024年度年会, 正会員主催OS応用力学系, 16 Sep. 2024

A billiard problem in nonlinear dissipative systems
Tomoyuki Miyaji
The Equadiff conference 2024 MS8: Dynamics of localized patterns -the interplay between intrinsic and extrinsic instabilities, 14 Jun. 2024

Neimark–Sacker bifurcation with discrete rotational symmetry and trav eling waves
Tomoyuki Miyaji; Kazuya Okamoto; Akiyasu Tomoeda
日本数学会2024年度年会応用数学分科会, 19 Mar. 2024

Traveling waves and the Neimark--Sacker bifurcation with discrete rotational symmetry
Tomoyuki Miyaji
2024 Japan-Taiwan Joint Workshop on Numerical Analysis and Inverse Problems, 09 Mar. 2024, Invited

A method of computing Morse decomposition via approximate ODE solvers and its application
Tomoyuki Miyaji
Applied and Computational Dynamics, 10th International Congress on Industrial and Applied Mathematics, 22 Aug. 2023

A conjecture on the asymptotic reflection rule of a self-propelled particle
Tomoyuki Miyaji; Robert Sinclair
日本数学会2023年度年会応用数学分科会, 18 Mar. 2023

力学系に対する相空間全構造計算の手法と応用
宮路智行
RIMS共同研究（公開型）常微分方程式の定性的理論とその現象解析への応用, 16 Nov. 2022, Invited

樟脳運動の粒子モデルにおける反射規則
宮路智行
非線形現象の数値シミュレーションと解析ミニ研究集会2022, 29 Aug. 2022, Invited

Computing Morse decomposition of ODEs by non-rigorous numerics
Tomoyuki Miyaji
Reliable Computing and Computer-Assisted Proofs (ReCAP2022), 14 Mar. 2022, Invited

力学系に対する位相的計算法とその応用
宮路智行
大阪大学MMDモデリング部門主催ワークショップ工学と数学の接点を求めて, 27 Nov. 2020, Invited

非線形・非平衡系におけるビリヤード問題について
宮路智行
第5回東京大学数理情報学談話会, 24 Nov. 2020, Invited

Runge-Kutta法によるMorse分解の近似計算
宮路智行
日本応用数理学会2020年度年会, 09 Sep. 2020

A billiard problem of a self-propelling particle
Tomoyuki Miyaji
The 6th Symposium on Theoretical and Applied Mechanics, 03 Sep. 2020, Invited

非線形非平衡系におけるビリヤード問題について
宮路智行
語ろう「数理解析」セミナー, 30 Nov. 2019, Invited

A billiard problem arising from nonlinear and nonequilibrium systems
宮路智行
京都力学系セミナー・京都大学応用数学セミナー, 22 Nov. 2019, Invited

Application of A Topological Computation Method to Biomedical Signals
Tomoyuki Miyaji
大阪大学MMDS主催ワークショップ「工学と数学との接点を求めて」, 15 Nov. 2019, Invited

区間演算に基づく計算機援用証明とその応用
宮路智行
京都大学数学教室談話会, 23 Oct. 2019

ダイナミクス全構造計算法の時系列データへの応用
宮路智行
RIMS共同研究（グループ型A）モデル駆動とデータ駆動の協同によるデータ数理科学に向けた基盤研究の新展開, 21 Aug. 2019

Existence of unimodal solutions for the Proudman-Johnson equation: a computer-assisted proof
Tomoyuki Miyaji
Numerical and mathematical issues on vortex motions, International Congress on Industrial and Applied Mathematics, 19 Jul. 2019

Application of a topological computation method to biomedical time-series data
宮路智行
MACS SG4 & 11 Joint Seminar：数学と統計・データ科学, 20 Feb. 2019

Application of A Topological Computation Method to Biomedical Signals
MIYAJI TOMOYUKI
ICMMA 2018 "Data Science, Time Series Modeling and Applications", 12 Feb. 2019

Computer-assisted proof of the existence of unimodal solutions of the Proudman-Johnson equation
MIYAJI TOMOYUKI
Mathematics of Fluid Motion II: Theory and Computation, 26 Dec. 2018, Invited

Mathematical Understanding of Kerr Frequency Combs From a Viewpoint of A Pattern-Formation Phenomenon
MIYAJI TOMOYUKI
KEIO Symposium on Microresonator Frequency Comb, 06 Dec. 2018, Invited

Billiard-like motions of a self-propelling rigid disk
MIYAJI TOMOYUKI
RIMS 共同研究「反応拡散方程式伝播現象と特異性の解析および諸科学への応用」, 24 Oct. 2018, Invited

自発的に運動する樟脳円板のビリヤード的運動について
宮路智行
第79 回岐阜数理科学セミナー, 20 Sep. 2018, Invited

統計的にセル・オートマトンをモデルする：その展開と展望
宮路智行
RIMS 共同研究「統計的モデリングと予測理論のための統合的数理研究の実践」, 27 Aug. 2018

Existence of unimodal solutions of the Proudman--Johnson equation
MIYAJI TOMOYUKI
CJK2018 The Seventh China-Japan-Korea Joint Conference on Numerical Mathematics, 22 Aug. 2018

Billiards in nonequilibrium systems
MIYAJI TOMOYUKI
Czech-Japanese Seminar in Applied Mathematics 2018, 15 Jul. 2018

Computer-assisted proof of the existence of unimodal solutions to the Proudman-Johnson equation
MIYAJI TOMOYUKI
East Asia SIAM, 24 Jun. 2018

Proudman-Johnson方程式のunimodalな定常解に対する計算機援用証明
宮路智行; 岡本久
日本数学会2018年度年会, 20 Mar. 2018

Proudman-Johnson方程式のunimodalな解に対する計算機援用証明
宮路智行; 岡本久
日本応用数理学会2018年研究部会連合発表会, 16 Mar. 2018

非平衡ビリヤード問題
宮路智行
2018年軽井沢グラフと解析研究集会, 16 Mar. 2018

Morseグラフの時系列解析への応用
宮路智行
2017年度冬の力学系研究集会, 07 Jan. 2018

Conley-Morseグラフによる時系列解析の生体信号への応用
宮路智行
第45回京都大学応用数学セミナー, 31 Oct. 2017, Invited

Numerical bifurcation analysis of a car-following model with relative velocity effect,
MIYAJI TOMOYUKI
the 研究業績（宮路智行） 4 15th Annual Meeting of the China Society for Industrial and Applied Mathematics, A3 Workshop on Fluid Dynamics and Materials Science,, 13 Oct. 2017, Invited

統計的にセル・オートマトンをモデルする：その実践と展開
宮路智行
RIMS共同研究「統計的モデリングと予測理論のための統合的数理研究の展開」, 28 Aug. 2017

Torus bifurcations to rippiling rectangular waves
MIYAJI TOMOYUKI
Equadiff 2017, 28 Jul. 2017, Invited

非平衡ビリヤード問題におけるアーノルドの舌
宮路智行
摂南大学第４回数理セミナー, 13 Jul. 2017

相対速度効果を考慮した交通流モデルの分岐解析
宮路智行
RIMS共同研究「力学系－理論と応用の連携探索」, 07 Jun. 2017

さざ波立つ矩形波へのトーラス分岐
宮路智行; 小川知之; 関坂歩幹
日本数学会2017 年度年会, 27 Mar. 2017

A billiard problem in systems far from equilibrium
MIYAJI TOMOYUKI
A billiard problem in systems far from equilibrium MIMS International Conference on "Reaction-diffusion system, theory and applications", 19 Mar. 2017

Computer-assisted analysis of Craik's dynamical system arising in fluid dynamics
MIYAJI TOMOYUKI
The International Workshop on Numerical Verification and its Applications 2017, 15 Mar. 2017, Invited

Torus bifurcations to rippling rectangular waves
MIYAJI TOMOYUKI
The Taiwan-Japan Joint mini-workshop on Applied Mathematics, 09 Mar. 2017

A billiard problem arising in systems far from equilibrium
宮路智行
富山大学理学部数学科2016年度第6回談話会, 22 Feb. 2017, Invited

準周期的不変閉曲線の数値的追跡法のPDE への応用
宮路智行
非線形現象と高精度高品質数値解析, 15 Feb. 2017

Craik's 3D dynamical system arising in fluid mechanics
MIYAJI TOMOYUKI
流体方程式の構造と特異性に迫る数値解析・数値計算II, 31 Jan. 2017, Invited

不変閉曲線の数値的追跡法とPDEへの応用
宮路智行
2016年度冬の力学系研究集会, 07 Jan. 2017

In search of closed orbits in Craik and Okamoto's 3D dynamical system
MIYAJI TOMOYUKI
International workshop on mathematical science for nonlinear phenomena, 30 Sep. 2016, Invited

統計的にセル・オートマトンをモデルする：その目的と実践
宮路智行
RIMS共同研究「統計的モデリングと予測理論のための統合的数理研究」, 10 Aug. 2016

Resonance tongues appearing in a billiard problem under nonlinear and nonequilibrium conditions
MIYAJI TOMOYUKI
International Conference Patten and Waves 2016, 02 Aug. 2016, Invited

Bifurcation analysis for a billiard problem in nonlinear and nonequilibrium systems
MIYAJI TOMOYUKI
The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications, 03 Jul. 2016

Bifurcations in a billiard problem under nonlinear and nonequilibrium conditions in a rectangular domain
宮路智行
NSC Seminar in Sendai, 25 Apr. 2016, Invited

Books and Other Publications

数理モデルとシミュレーション
小川, 知之; 宮路, 智行, Joint work
サイエンス社, Dec. 2020
Find Kyoto University's collection of books :

Awards

09 Sep. 2022
Japan Society for Industrial and Applied Mathematics, 日本応用数理学会論文賞JSIAM Letters部門
Computing Morse decomposition of ODEs via Runge-Kutta method, Japan, Official journal
Yuki Chiba, Tomoyuki Miyaji, Toshiyuki Ogawa

Jun. 2018
Japan Society for Industrial and Applied Mathematics, 日本応用数理学会2018年研究部会連合発表会優秀講演賞

Dec. 2015
The Third International Symposium on Computing and Networking , AFCA Best Paper Award

Jun. 2010
East Asia SIAM, EASIAM Student Paper Competition 3rd Prize

External funds: Kakenhi

力学系に対する相空間全構造解析と分岐解析の統合による新たなアプローチ
Grant-in-Aid for Scientific Research (B)
Basic Section 12040:Applied mathematics and statistics-related
Kyoto University
宮路智行
From 01 Apr. 2023, To 31 Mar. 2028, Granted
力学系;分岐;大域的構造;結合振動子
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23H01089/

精度保証付き数値計算の前進---有限と無限をつなぐもの---
Grant-in-Aid for Scientific Research (B)
Basic Section 12040:Applied mathematics and statistics-related
Kyushu University
渡部善隆
From 01 Apr. 2021, To 31 Mar. 2025, Granted
精度保証付き数値計算;計算機援用証明;非線形偏微分方程式;有限要素法;射影誤差評価;線形作用素の可逆性
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21H01000/

A mathematical study of dimensionality reduction and embedding by theories of delay-coordinate systems and algebraic geometry
Grant-in-Aid for Scientific Research (C)
Basic Section 12040:Applied mathematics and statistics-related
Meiji University;Kyoto University
Naoto Nakano
From 01 Apr. 2020, To 31 Mar. 2024, Project Closed
遅延座標系;代数幾何学;次元縮約;埋め込み理論;データ駆動型解析;ランダムネットワーク
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20K03747/

A billiard problem arising from self-propelling particles
Grant-in-Aid for Scientific Research (C)
Basic Section 12040:Applied mathematics and statistics-related
Kyoto University
Tomoyuki Miyaji
From 01 Apr. 2019, To 31 Mar. 2024, Project Closed
自己駆動粒子;数理モデリング;ビリヤード問題;力学系;微分方程式;数値シミュレーション
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19K03626/

New modeling and mathematical analysis for pattern formations in life sciences
Grant-in-Aid for Scientific Research (B)
Basic Section 12040:Applied mathematics and statistics-related
Ryukoku University
Yoshihisa Morita
From 01 Apr. 2018, To 31 Mar. 2022, Project Closed
パターン形成;反応拡散方程式;保存則;非線形偏微分方程式;生物モデル;非局所効果;細胞極性;安定性;チューリング不安定性;定在波;安定性解析;細胞極性モデル;分岐解析;数値シミュレーション;反応拡散方程式系;フロント波の伝播;細胞接着モデル;ウィルス感染モデル;特異極限;数理モデル;数理シミュレーション;Turing不安定性
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18H01139/

Mathematical model of electrochemical catalysis by chain reaction theory
Grant-in-Aid for Scientific Research (B)
Meiji University
Toshiyuki OGAWA
From 19 Jul. 2016, To 31 Mar. 2020, Project Closed
自己組織的連鎖反応;３種反応拡散系;Tributsch-Pohlmannモデル;進行波解;多電子移動;移流拡散;連鎖反応理論;均質化法;自己組織化;GL理論
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16KT0023/

A billiard problem in nonlinear and nonequilibrium systems: bifurcation with symmetry and degeneracy
Grant-in-Aid for Young Scientists (B)
Meiji University
Tomoyuki Miyaji
From 01 Apr. 2016, To 31 Mar. 2019, Project Closed
力学系の分岐;ビリヤード問題;自己駆動粒子;反応拡散系;進行スポット;非線形・非平衡系;力学系;分岐;数値解析;縮約方程式
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16K17649/

Cross-cutting research of data- and model-driven methods by interlacing deductive and inductive cellular automata constructing method
Grant-in-Aid for Challenging Exploratory Research
Kyoto University;Hokkaido University
Naoto Nakano
From 01 Apr. 2016, To 31 Mar. 2019, Project Closed
セル・オートマトン;応用数学;統計的モデリング;偏微分方程式;数値解析;データ主体解析;データ駆動解析;数理モデル;データ解析
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16K13772/

Concentration Phenomena and Structure of Solution for Nonlinear Evolution Equations
Grant-in-Aid for Scientific Research (S)
Kyoto University
Yoshio Tsutsumi
From 01 Apr. 2011, To 31 Mar. 2016, Project Closed
非線形波動・分散型方程式;非圧縮性Navier-Stokes方程式;解の特異性と凝縮現象;Keller-Segel方程式;解の時間大域挙動;Gibbs測度;Stokesドリフト;大域挙動;グローバル・アトラクター;中心多様体;非線形散乱理論;有限時間爆発;非線形発展方程式;Strichartz評価式;計算機支援証明法;精度保証付き数値計算;爆発解;Orlicz-Morrey空間;初期値問題の適切性;解の正則性・特異性;表面量直重力波方程式(米国);等温Falkモデル;Zakharov方程式;Keller-Segel方程式(ドイツ);不変測度;不安定基底状態;解の大域挙動;ストークス・ドリフト;重力-表面張力水面波;Beal-Kato-Majda型爆発判定条件;減衰項付きKlein-Gordon方程式;Morawetz評価式;エネルギー減衰評価式;Lugiato-Lefever方程式;定常解の分岐;指数安定性;一般化された分数べき積分作用素;Morrey空間
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23224003/

力学系に対する相空間全構造解析と分岐解析の統合による新たなアプローチ
Grant-in-Aid for Scientific Research (B)
Basic Section 12040:Applied mathematics and statistics-related
Kyoto University
宮路智行
From 01 Apr. 2024, To 31 Mar. 2028, Granted
力学系;分岐;数値的追跡;力学系相空間全構造解析;大域的構造;結合振動子;Neimark-Sacker分岐;不変閉曲線;進行波
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23K25786/

A mathematical study of causality between variables in dynamical systems based on theories of algebraic geometry
Grant-in-Aid for Scientific Research (C)
Basic Section 12040:Applied mathematics and statistics-related
Meiji University
中野直人
From 01 Apr. 2024, To 31 Mar. 2028, Granted
時系列埋め込み;消去理論;Reservoir Computing;因果関係;データ駆動型解析;reservoir computing
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24K06874/

計算機援用「超」ホモトピー法---精度保証付き数値計算の新次元---
Grant-in-Aid for Scientific Research (A)
Medium-sized Section 60:Information science, computer engineering, and related fields
Kyushu University
渡部善隆
From 01 Apr. 2024, To 31 Mar. 2029, Granted
精度保証付き数値計算;計算機援用証明;非線形偏微分方程式;有限要素法;射影誤差評価;非線形関数方程式;非線形微分方程式;線形作用素の逆作用素
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24H00694/

Advances in numerical verification method ---bridging the finite and the infinite---
Grant-in-Aid for Scientific Research (B)
Basic Section 12040:Applied mathematics and statistics-related
Kyushu University
Yoshitaka Watanabe
From 01 Apr. 2021, To 31 Mar. 2025, Project Closed
精度保証付き数値計算;計算機援用証明;直交射影の誤差評価;有限要素法;Navier-Stokes方程式;非線形微分方程式;非線形関数方程式;安定性解析;線形作用素の可逆性;射影誤差評価;非線形偏微分方程式
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23K20812/

Last Updated :2026/01/27

Education

Teaching subject(s)

From 01 Apr. 2025, To 31 Mar. 2026
Seminar on Applied Mathematics
N185, Fall, Institute for Liberal Arts and Sciences, 2

From 01 Apr. 2025, To 31 Mar. 2026
Quest for Mathematics II
N173, Spring, Institute for Liberal Arts and Sciences, 2

From 01 Apr. 2025, To 31 Mar. 2026
Advanced Calculus II - Differential Equations
N125, Fall, Institute for Liberal Arts and Sciences, 2

From 01 Apr. 2025, To 31 Mar. 2026
Special Lecture on Mathematics 1
7162, Year-long, Faculty of Science, 1

From 01 Apr. 2025, To 31 Mar. 2026
Nonlinear Analysis
3149, Fall, Faculty of Science, 2

From 01 Apr. 2025, To 31 Mar. 2026
Graduate Lecture in Nonlinear Analysis
0412, Fall, Graduate School of Science, 2

From 01 Apr. 2025, To 31 Mar. 2026
Seminar on Dynamical Systems B
0549, Fall, Graduate School of Science, 3

From 01 Apr. 2025, To 31 Mar. 2026
Seminar on Dynamical Systems A
0548, Spring, Graduate School of Science, 3

From 01 Apr. 2025, To 31 Mar. 2026
Seminar on Dynamical Systems D
0551, Fall, Graduate School of Science, 3

From 01 Apr. 2025, To 31 Mar. 2026
Seminar on Dynamical Systems C
0550, Spring, Graduate School of Science, 3

From 01 Apr. 2024, To 31 Mar. 2025
Quest for Mathematics II
N173, Fall, Institute for Liberal Arts and Sciences, 2

From 01 Apr. 2024, To 31 Mar. 2025
Seminar on Nonlinear Mathematics
N103, Fall, Institute for Liberal Arts and Sciences, 2

From 01 Apr. 2024, To 31 Mar. 2025
Practical Introduction to Mathematical Software
0413, Spring, Graduate School of Science, 1

From 01 Apr. 2024, To 31 Mar. 2025
Special study course (Mathematical Science)
5140, Year-long, Faculty of Science, 12

From 01 Apr. 2024, To 31 Mar. 2025
Forefront of Mathematics and Mathematical Science I
4138, Spring, Faculty of Science, 2

From 01 Apr. 2024, To 31 Mar. 2025
Nonlinear Analysis
3149, Fall, Faculty of Science, 2

From 01 Apr. 2024, To 31 Mar. 2025
Seminar on Dynamical Systems B
0549, Fall, Graduate School of Science, 3

From 01 Apr. 2024, To 31 Mar. 2025
Seminar on Dynamical Systems A
0548, Spring, Graduate School of Science, 3

From 01 Apr. 2024, To 31 Mar. 2025
Seminar on Dynamical Systems D
0551, Fall, Graduate School of Science, 3

From 01 Apr. 2024, To 31 Mar. 2025
Seminar on Dynamical Systems C
0550, Spring, Graduate School of Science, 3

From 01 Apr. 2024, To 31 Mar. 2025
Graduate Lecture in Nonlinear Analysis
0412, Fall, Graduate School of Science, 2

From 01 Apr. 2023, To 31 Mar. 2024
Seminar on Nonlinear Mathematics
N103, Fall, Institute for Liberal Arts and Sciences, 2

From 01 Apr. 2023, To 31 Mar. 2024
Quest for Mathematics II
N173, Fall, Institute for Liberal Arts and Sciences, 2

From 01 Apr. 2023, To 31 Mar. 2024
Advanced Calculus I - Vector Calculus
N124, Spring, Institute for Liberal Arts and Sciences, 2

From 01 Apr. 2023, To 31 Mar. 2024
Practical Introduction to Mathematical Software
0413, Spring, Graduate School of Science, 1

From 01 Apr. 2023, To 31 Mar. 2024
Differential Equations
3146, Spring, Faculty of Science, 2

From 01 Apr. 2023, To 31 Mar. 2024
Forefront of Mathematics and Mathematical Science I
4138, Spring, Faculty of Science, 2

From 01 Apr. 2023, To 31 Mar. 2024
Nonlinear Analysis
3149, Fall, Faculty of Science, 2

From 01 Apr. 2023, To 31 Mar. 2024
Graduate Lecture in Nonlinear Analysis
0412, Fall, Graduate School of Science, 2

From 01 Apr. 2022, To 31 Mar. 2023
Seminar on Applied Mathematics c (for Advanced Mathematics Course)
0460, Spring, Graduate School of Science, 3

From 01 Apr. 2022, To 31 Mar. 2023
Seminar on Applied Mathematics b (for Advanced Mathematics Course)
0459, Fall, Graduate School of Science, 3

From 01 Apr. 2022, To 31 Mar. 2023
Advanced Calculus II - Differential Equations
N125, Spring, Institute for Liberal Arts and Sciences, 2

From 01 Apr. 2022, To 31 Mar. 2023
Seminar on Applied Mathematics d (for Advanced Mathematics Course)
0461, Fall, Graduate School of Science, 3

From 01 Apr. 2022, To 31 Mar. 2023
Forefront of Mathematics and Mathematical Science I
4138, Spring, Faculty of Science, 2

From 01 Apr. 2022, To 31 Mar. 2023
Special study course (Mathematical Science)
5140, Year-long, Faculty of Science, 12

From 01 Apr. 2022, To 31 Mar. 2023
Seminar on Applied Mathematics a (for Advanced Mathematics Course)
0458, Spring, Graduate School of Science, 3

From 01 Apr. 2022, To 31 Mar. 2023
Nonlinear Analysis
3149, Fall, Faculty of Science, 2

From 01 Apr. 2022, To 31 Mar. 2023
Seminar on Dynamical Systems c
0452, Spring, Graduate School of Science, 3

From 01 Apr. 2022, To 31 Mar. 2023
Seminar on Dynamical Systems b
0451, Fall, Graduate School of Science, 3

From 01 Apr. 2022, To 31 Mar. 2023
Graduate Lecture in Nonlinear Analysis
0412, Fall, Graduate School of Science, 2

From 01 Apr. 2022, To 31 Mar. 2023
Seminar on Nonlinear Mathematics
N103, Fall, Institute for Liberal Arts and Sciences, 2

From 01 Apr. 2022, To 31 Mar. 2023
Seminar on Applied Mathematics A
0556, Spring, Graduate School of Science, 3

From 01 Apr. 2022, To 31 Mar. 2023
Seminar on Applied Mathematics B
0557, Fall, Graduate School of Science, 3

From 01 Apr. 2022, To 31 Mar. 2023
Seminar on Dynamical Systems A
0548, Spring, Graduate School of Science, 3

From 01 Apr. 2022, To 31 Mar. 2023
Seminar on Dynamical Systems d
0453, Fall, Graduate School of Science, 3

From 01 Apr. 2022, To 31 Mar. 2023
Seminar on Dynamical Systems a
0450, Spring, Graduate School of Science, 3

From 01 Apr. 2022, To 31 Mar. 2023
Seminar on Dynamical Systems B
0549, Fall, Graduate School of Science, 3

From Apr. 2020, To Mar. 2021
Advanced Calculus II - Differential Equations
Spring, 全学共通科目

From Apr. 2020, To Mar. 2021
Seminar on Applied Mathematics a (for Advanced Mathematics Course)
Spring, 理学研究科

From Apr. 2020, To Mar. 2021
Seminar on Applied Mathematics b (for Advanced Mathematics Course)
Fall, 理学研究科

From Apr. 2020, To Mar. 2021
Seminar on Applied Mathematics c (for Advanced Mathematics Course)
Spring, 理学研究科

From Apr. 2020, To Mar. 2021
Seminar on Applied Mathematics d (for Advanced Mathematics Course)
Fall, 理学研究科

From Apr. 2021, To Mar. 2022
Advanced Calculus II - Differential Equations
Spring, 全学共通科目

From Apr. 2021, To Mar. 2022
Seminar on Applied Mathematics a (for Advanced Mathematics Course)
Spring, 理学研究科

From Apr. 2021, To Mar. 2022
Seminar on Applied Mathematics b (for Advanced Mathematics Course)
Fall, 理学研究科

From Apr. 2021, To Mar. 2022
Seminar on Applied Mathematics c (for Advanced Mathematics Course)
Spring, 理学研究科

From Apr. 2021, To Mar. 2022
Seminar on Applied Mathematics d (for Advanced Mathematics Course)
Fall, 理学研究科

From Apr. 2021, To Mar. 2022
Forefront of Mathematics and Mathematical Science I
Spring, 理学部

From Apr. 2021, To Mar. 2022
Special Lecture on Mathematics 2
Year-long, 理学部

From Apr. 2021, To Mar. 2022
Seminar on Nonlinear Mathematics
Fall, 全学共通科目

From Apr. 2021, To Mar. 2022
Nonlinear Analysis
Fall, 理学部

From Apr. 2021, To Mar. 2022
Graduate Lecture in Nonlinear Analysis
Fall, 理学研究科

Student achievements: Papers

An extension of the Fiedler–Mochizuki theory to time-delay systems
Atsushi Kondo
16 Feb. 2025, JSIAM Letters, 17, 5, 8, Peer-reviewed, English, False
https://doi.org/https://doi.org/10.14495/jsiaml.17.5

Part-time lecturer

From 11 Jan. 2022, To 31 Mar. 2022
数値解析
冬学期／集中講義, 一橋大学, 大学院経済学研究科

From 01 Oct. 2020, To 31 Mar. 2021
数理科学特論14
集中講義, 九州大学, 大学院数理学府

From 14 Jan. 2020, To 13 Mar. 2020
数値解析
冬学期／集中講義, 一橋大学, 大学院経済学研究科

Last Updated :2026/01/27

Administration

Faculty management (title, position)

From 01 Apr. 2025, To 31 Mar. 2026
理学研究科 MACS運営小委員会委員

From 01 Apr. 2025, To 31 Mar. 2026
理学研究科情報セキュリティ委員会委員

From 01 Apr. 2025, To 31 Mar. 2026
理学研究科情報セキュリティ委員会　ネットワーク小委員会委員

From 01 Apr. 2023, To 31 Mar. 2024
理学研究科情報セキュリティ委員会ネットワーク小委員会委員

From 01 Apr. 2022, To 31 Mar. 2023
理学研究科情報セキュリティ委員会　ネットワーク小委員会委員

From 01 Apr. 2019, To 31 Mar. 2020
理学研究科情報セキュリティ委員会　ネットワーク小委員会委員

From 01 Apr. 2020, To 31 Mar. 2021
理学研究科情報セキュリティ委員会　ネットワーク小委員会委員

From 01 Apr. 2021, To 31 Mar. 2022
理学研究科情報セキュリティ委員会　ネットワーク小委員会委員

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Miyaji, Tomoyuki

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External funds: Kakenhi

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Part-time lecturer

Administration

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