Graduating School 【 display / non-display 】

Graduating School 【 display / non-display 】

• Kyoto University of Education   Faculty of Education   Graduated

  2012.4 - 2016.3

Graduate School 【 display / non-display 】

Graduate School 【 display / non-display 】

• Osaka University   Graduate School, Division of Information Science   Doctor's Course   Completed

  2018.4 - 2021.3

• Osaka University   Graduate School, Division of Information Science   Master's Course   Completed

  2016.4 - 2018.3

External Career 【 display / non-display 】

External Career 【 display / non-display 】

• 北海道大学   電子科学研究所

  2021.10 - 2023.3

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  Country：Japan

• 北海道大学   電子科学研究所

  2021.4 - 2021.9

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  Country：Japan

Papers 【 display / non-display 】

Papers 【 display / non-display 】

• Structure-preserving schemes for Cahn–Hilliard equations with dynamic boundary conditions Reviewed

  Makoto Okumura, Takeshi Fukao

  Discrete and Continuous Dynamical Systems - S   17 ( 1 )   362 - 394   2024.1

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  Authorship：Lead author,　Corresponding author   Publisher：American Institute of Mathematical Sciences (AIMS)  

  DOI： 10.3934/dcdss.2023207

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• Zonula occludens‐1 distribution and barrier functions are affected by epithelial proliferation and turnover rates Reviewed

  Keisuke Imafuku, Hiroaki Iwata, Ken Natsuga, Makoto Okumura, Yasuaki Kobayashi, Hiroyuki Kitahata, Akiharu Kubo, Masaharu Nagayama, Hideyuki Ujiie

  Cell Proliferation   56 ( 9 )   e13441   2023.3

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  Publisher：Wiley  

  DOI： 10.1111/cpr.13441

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  Other Link： https://onlinelibrary.wiley.com/doi/full-xml/10.1111/cpr.13441

• A second-order accurate structure-preserving scheme for the Cahn-Hilliard equation with a dynamic boundary condition Reviewed

  Makoto Okumura, Takeshi Fukao, Daisuke Furihata, Shuji Yoshikawa

  Communications on Pure & Applied Analysis   21 ( 2 )   355 - 355   2022.2

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  Authorship：Lead author   Publisher：American Institute of Mathematical Sciences (AIMS)  

  <p lang="fr">&lt;p style='text-indent:20px;'&gt;We propose a structure-preserving finite difference scheme for the Cahn–Hilliard equation with a dynamic boundary condition using the discrete variational derivative method (DVDM) proposed by Furihata and Matsuo [&lt;xref ref-type="bibr" rid="b14"&gt;14&lt;/xref&gt;]. In this approach, it is important and essential how to discretize the energy which characterizes the equation. By modifying the conventional manner and using an appropriate summation-by-parts formula, we can use a standard central difference operator as an approximation of an outward normal derivative on the discrete boundary condition of the scheme. We show that our proposed scheme is second-order accurate in space, although the previous structure-preserving scheme proposed by Fukao–Yoshikawa–Wada [&lt;xref ref-type="bibr" rid="b13"&gt;13&lt;/xref&gt;] is first-order accurate in space. Also, we show the stability, the existence, and the uniqueness of the solution for our proposed scheme. Computation examples demonstrate the effectiveness of our proposed scheme. Especially through computation examples, we confirm that numerical solutions can be stably obtained by our proposed scheme.&lt;/p&gt;</p>

  DOI： 10.3934/cpaa.2021181

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• A new structure-preserving scheme with the staggered space mesh for the Cahn–Hilliard equation under a dynamic boundary condition Reviewed

  Makoto Okumura, Takeshi Fukao

  Advances in Mathematical Sciences and Applications   30 ( 2 )   347 - 376   2021.8

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  Authorship：Lead author   Publisher：Gakkotosho  

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• Numerical results for ordinary and partial differential equations describing motions of elastic materials Reviewed International coauthorship

  Chiharu Kosugi, Toyohiko Aiki, Martijn Anthonissen, Makoto Okumura

  Advances in Mathematical Sciences and Applications   30 ( 2 )   387 - 414   2021.8

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  Publisher：Gakkotosho  

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Review Papers (Misc) 【 display / non-display 】

Review Papers (Misc) 【 display / non-display 】

• 動的境界条件下のCahn–Hilliard方程式に対する多段線形化構造保存スキーム

  奥村 真善美

  甲南大学紀要. 知能情報学編   16 ( 2 )   17 - 34   2024.2

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  Authorship：Lead author,　Last author,　Corresponding author   Publishing type：Rapid communication, short report, research note, etc. (bulletin of university, research institution)  

• A second-order accurate structure-preserving scheme for the Cahn-Hilliard equation with a dynamic boundary condition

  Makoto Okumura, Takeshi Fukao, Daisuke Furihata, Shuji Yoshikawa

  arXiv   2020.7

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  Authorship：Lead author,　Corresponding author   Publishing type：Internal/External technical report, pre-print, etc.  

  DOI： https://doi.org/10.48550/arXiv.2007.08355

• 体積保存型Allen-Cahn方程式に対する離散変分導関数法による非線形及び線形スキーム

  奥村 真善美

  第39回発展方程式若手セミナー報告集   49 - 58   2017.11

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  Authorship：Lead author   Publishing type：Research paper, summary (national, other academic conference)  

Presentations 【 display / non-display 】

Presentations 【 display / non-display 】

• 空間2次元動的境界条件下のCahn–Hilliard方程式に 対する線形構造保存スキームについて

  奥村真善美

  日本数学会2025年度年会  2025.3 

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  Event date： 2025.3

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• 身近な現象と数学をつなぐ数値シミュレーション技術の世界

  奥村真善美

  第6回大学の若手研究者ショートプレゼン&交流会 ~KOBEアカデミックトーク~  2025.2 

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  Event date： 2025.2

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• 空間2次元動的境界条件下のCahn-Hilliard方程式に対する線形多段階構造保存スキームの可解性

  奥村真善美

  第50回発展方程式研究会  2024.12 

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  Event date： 2024.12

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• 平方差分を用いた構造保存スキームの提案

  奥村真善美

  2024年度応用数学合同研究集会  2024.12 

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  Event date： 2024.12

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• Structure-preserving schemes for the Cahn–Hilliard equation with forward-backward dynamic boundary conditions and its applications Invited

  Makoto Okumura

  Italo-Japanese Workshop on Variational Perspectives for PDEs  2024.9 

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  Event date： 2024.9

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Academic Awards Received 【 display / non-display 】

Academic Awards Received 【 display / non-display 】

• 大阪大学情報科学研究科賞

  2018.3   大阪大学  

Grant-in-Aid for Scientific Research 【 display / non-display 】

Grant-in-Aid for Scientific Research 【 display / non-display 】

• 力学的境界条件下の問題に対する、任意多角形格子上の構造保存数値解法の構成

  2023.4 - 2028.3

  JSPS Grants-in-Aid for Scientific Research Grant-in-Aid for Early-Career Scientists

  奥村 真善美

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  Authorship：Principal investigator

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• Design and analysis of a structure-preserving scheme for the Liu-Wu model with conservation laws both in bulk and on the boundary

  2021.8 - 2023.3

  JSPS Grants-in-Aid for Scientific Research Grant-in-Aid for Research Activity start-up

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Committee Memberships 【 display / non-display 】

Committee Memberships 【 display / non-display 】

• 2023.10 - 2025.9   一般社団法人日本応用数理学会  一般社団法人日本応用数理学会 総務委員会 委員

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• 2022   日本応用数理学会  2022年度年会実行委員

Qualification acquired 【 display / non-display 】

Qualification acquired 【 display / non-display 】