MURATA Mikio

J-GLOBAL         Last updated: Nov 21, 2018 at 05:49
 
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Name
MURATA Mikio
E-mail
mmuratacc.tuat.ac.jp
URL
http://web.tuat.ac.jp/~mmurata/
Affiliation
Tokyo University of Agriculture and Technology
Section
Institute of Engineering, Division of Mathematical Sciences
Job title
Associate Professor
Degree
Bachelor (Arts and Sciences)(The University of Tokyo), Master (Mathematical Sciences)(The University of Tokyo), Doctor (Mathematical Sciences)(The University of Tokyo)
Other affiliation
Tokyo University of Agriculture and TechnologyTokyo University of Agriculture and Technology

Research Areas

 
 

Academic & Professional Experience

 
Oct 2002
 - 
Mar 2003
Part-time Lecturer, Japanese Language Center for International Students, Tokyo University of Foreign Studies
 
Apr 2004
 - 
Mar 2006
Research Fellow DC2, The Japan Society for the Promotion of Science
 
Apr 2006
 - 
Mar 2007
COE Researcher, Graduate School of Mathematical Sciences, The University of Tokyo
 
Apr 2006
 - 
Mar 2007
Guest Researcher, College of Science and Engineering, Aoyama Gakuin University
 
Apr 2007
 - 
Mar 2008
Assistant, College of Science and Engineering, Aoyama Gakuin University
 

Education

 
Apr 1996
 - 
Mar 2000
Department of Basic Science, College of Arts and Sciences, The University of Tokyo
 
Apr 2000
 - 
Mar 2002
Department of Mathematical Sciences, Graduate School, Division of Mathematical Sciences, The University of Tokyo
 
Apr 2002
 - 
Mar 2006
Department of Mathematical Sciences, Graduate School, Division of Mathematical Sciences, The University of Tokyo
 

Published Papers

 
Mikiko Sasaki, Seiji Nishioka, Fumiya Hongo and Mikio Murata
RIAM Symposium   29AO-S7(1) 81-87   Mar 2018   [Refereed]
2 成分の反応拡散方程式であるFitzHugh - Nagumo 方程式に対して「トロピカル離散化」を適用し,超離散方程式を導出する.FitzHugh - Nagumo 方程式の特徴的現象として周期解や進行波解などがある.導出した超離散方程式を考察し,元の微分方程式と類似した現象が確認できた.
Mikio Murata
Mathematics for Industry   28 21-35   Mar 2018   [Refereed]
A systematic approach to the construction of cellular automata that are analogs for the reaction–diffusion equations is presented. By using this method for the Allen–Cahn equation and the Gray–Scott model, cellular automatons are constructed. The ...
Mikio Murata
RIAM Symposium   28AO-S6(1) 7-12   Mar 2017   [Refereed]
多成分のセル・オートマトンの中で基本的と考えられるセル・オートマトンとして「連立型反応拡散セル・オートマトン」を提案し,エレメンタリー・セル・オートマトンとの関係を述べる.連立型反応拡散セル・オートマトンに現れる進行波について調査結果を報告する.
Mikio Murata
MI Lecture Note   70 17-19   Nov 2016
A systematic approach to the construction of cellular automata that are analogs for the reaction–diffusion equations is presented. By using this method for the Allen–Cahn equation and the Gray–Scott model, cellular automatons are constructed. The ...
Mikio Murata
Journal of Physics A: Mathematical and Theoretical   48(25) 255202   Jun 2015   [Refereed]
Ultradiscretization is a limiting procedure transforming a given difference equation into a cellular automaton. The cellular automaton constructed by this procedure preserves the essential properties of the original equation, such as the structure...

Misc

 
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)   7 059 (15pp)   2011
Can't open convert table.(java.lang.NullPointerException)   44(17) 175201 (10pp)   2011
Can't open convert table.(java.lang.NullPointerException)   240(3) 305-309   2011
Journal of Physics A: Methematical and Theoretical (Institute of Physics Publishing)   43(31) 315203 (15pp)   2010
"Singularity confinement test for ultradiscrete equations with parity variables"
Journal of Physics A: Methematical and Theoretical (Institute of Physics Publishing)   42(31) 315206   2009

Books etc

 
Mikio Murata
University of Tokyo, Graduate School of Mathematical Sciences   Mar 2006   
We give an extension of the two-component KP hierarchy by considering additional time variables. We obtain the linear 2 × 2 system by taking into consideration the hierarchy through a reduction procedure. The Lax pair of the Schlesinger system and...

Conference Activities & Talks

 
Mikiko Sasaki, Humiya Hongo, Seiji Nishioka, Mikio Murata
Study of nonlinear wave   10 Nov 2017   Research Institute for Applied Mechanics, Kyushu University
2成分の反応拡散方程式であるFitzHugh-Nagumo方程式に対して,「トロピカル離散化」を適用し,超離散方程式を導出する。FitzHugh-Nagumo方程式の特徴的現象と類似した現象が,導出した超離散方程式において確認できる。
Mikio Murata
Forum "Math-for-Industry" 2016   21 Nov 2016   Asia Pacific Consortium of Mathematics for Industry
A systematic approach to the construction of cellular automata that are analogs for the reaction–diffusion equations is presented. By using this method for the Allen–Cahn equation and the Gray–Scott model, cellular automatons are constructed. The ...
Mikio Murata
Study of nonlinear wave   3 Nov 2016   Research Institute for Applied Mechanics, Kyushu University
多成分のセル・オートマトンの中で基本的と考えられるセル・オートマトンとして「連立型反応拡散セル・オートマトン」を提唱した.今回は,その連立型反応拡散セル・オートマトンに現れる進行波について報告する.また,反応拡散方程式で現れる進行波との共通点や相違点について考察する.
Mikio Murata
Yamagata Classical Analysis Seminar   22 Apr 2016   山形大学理学部数学科
Mikio Murata
Okayama Analysis and Probability Seminar   27 Nov 2015   岡山大学理学部数学科

Association Memberships

 
 

Research Grants & Projects

 
連立型反応拡散セル・オートマトンの研究
Project Year: 2016 - 2019