Mathematics and applications of the charge simulation method forvarious partial differential equations

• Project/Area Number: 22540116
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: General mathematics (including Probability theory/Statistical mathematics)
• Research Institution: The University of Electro-Communications
• Principal Investigator: OGATA Hidenori 電気通信大学, 大学院・情報理工学研究科, 教授 (50242037)
• Project Period (FY): 2010 – 2012
• Project Status: Completed (Fiscal Year 2012)
• Budget Amount: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000); Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2011: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000); Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
• Keywords: 数値数学 / 代用電荷法 / ポテンシャル問題 / 偏微分方程式 / 不変スキーム / 基本解近似解法 / 波動問題 / ヘルムホルツ方程式 / ラプラス方程式 / 最適性 / 双極子 / 波動現象

Research Abstract

Mathematics and applications of the charge simulation method forvarious partial differential equations

Research Products

• [Journal Article] Numerical conformal mappings onto the linear slit domain (2012)
  • Author(s): K.Amano, D.Okano,M.Sugihara
  • Journal Title: Japan J.Indust. Appl. Math Volume: Vol.29 Pages: 165-186
  • Peer Reviewed
• [Journal Article] 電気双極子代用電荷法と数値等角写像への応用 (2012)
  • Author(s): 緒方秀教
  • Journal Title: 京都大学数理解析研究所講究録 Volume: No.1791 Pages: 97-106
• [Journal Article] Numerical conformal mappings onto the linear slid domain (2012)
  • Author(s): K. Amano
  • Journal Title: Japan J. Indust. Appl. Math. Volume: 29 Issue: 2 Pages: 165-186
  • DOI: 10.1007/s13160-012-0058-0
  • Peer Reviewed
• [Journal Article] Numerical conformal mapping onto the linear slit domain (2012)
  • Author(s): K.Amano, D.Okano, H.Ogata, M.Sugihara
  • Journal Title: Japan Journal of Industrial and Applied Mathematics Volume: (掲載決定)
  • NAID: 10030784401
  • Peer Reviewed
• [Journal Article] A new theoretical error estimate of the method of fundamental solutions applied to reduced wave problems in the exterior region of a disk (2011)
  • Author(s): H.Ogata, F. Chiba and T.Ushijima
  • Journal Title: J. Comput. Appl. Math Volume: Vol.235 Pages: 3395-3412
  • Peer Reviewed
• [Journal Article] Anew theoretical error estimate of the method of fundamental solutionsapplied to reduced wave problems in the exterior region of a disk (2011)
  • Author(s): Hidenori Ogata, Fumihiro Chiba, Teruo Ushijima
  • Journal Title: Journal of Computational and Applied MathematiCS Volume: 235 Pages: 3395-3412
  • Peer Reviewed
• [Journal Article] Fundamental solution method for two-dimensional Stokes flow problems with one-dimensional periodoicity (2010)
  • Author(s): H.Ogata and K. Amano
  • Journal Title: Japan J. Indust. Appl. Math. Volume: Vol.27 Pages: 191-215
  • Peer Reviewed
• [Journal Article] Fundamental solution method for two-dimensional Stokes flow problemswith one-dimensional periodicity (2010)
  • Author(s): Hidenori Ogata, KanameAmano
  • Journal Title: Japan Journal of Industrial and Applied Mathematics Volume: 27 Pages: 191-215
  • Peer Reviewed
• [Journal Article] 波動問題などに対する代用電荷法の数理的性質 (2010)
  • Author(s): 緒方秀教
  • Journal Title: 京都大学数理解析研究所講究録 Volume: 1719 Pages: 168-181
• [Presentation] ポテンシャル問題に対する双極子法の検証 (2012)
  • Author(s): 緒方秀教
  • Organizer: JSIAM(日本応用数理学会)2011研究部会連合発表会
  • Place of Presentation: 九州大学(伊都キャンパス)
  • Year and Date: 2012-03-09
• [Presentation] 一般Jordan領域のポテンシャル問題に対する代用電荷法不変スキームの収束定理 (2012)
  • Author(s): 緒方秀教,桂田祐史
  • Organizer: 応用数学合同研究集会
  • Place of Presentation: 龍谷大学瀬田キャンパス,大津
• [Presentation] Convergence of the invariant scheme of the method of fundamental solutions for two-dimensional potential problems in a Jordan region (2012)
  • Author(s): H.Ogata and M.Katsurada
  • Organizer: New Zealand Mathematical Society Colloquium 2012
  • Place of Presentation: Massey University, Palmerston North, New Zealand
• [Presentation] 2次元ポテンシャル問題に対する双極子法における点配置について (2012)
  • Author(s): 緒方秀教
  • Organizer: 日本応用数理学会2012年度年会
  • Place of Presentation: 稚内全日空ホテル,稚内
• [Presentation] ポテンシャル問題に対する双極子法の検証 (2012)
  • Author(s): 緒方秀教
  • Organizer: JSIAM2012(日本応用数理学会)研究部会連合発表会
  • Place of Presentation: 九州大学,福岡
• [Presentation] 代用電荷法への高速多重極展開の適用とGPUによる高速化 (2012)
  • Author(s): 藤原弘樹,緒方秀教
  • Organizer: JSIAM2012(日本応用数理学会)研究部会連合発表会
  • Place of Presentation: 九州大学,福岡
• [Presentation] 代用電荷法による波動逆問題の解法 (2012)
  • Author(s): 藤井祐輔,緒方秀教
  • Organizer: JSIAM2012(日本応用数理学会)研究部会連合発表会
  • Place of Presentation: 九州大学,福岡
• [Presentation] Theoretical error estimate and near optimality of the method of fundamental solutions for the two-dimensional Helmholtz equation in the exterior region of a disk (2011)
  • Author(s): H.Ogata, M.Sugihara
  • Organizer: International Conference Waves in Science & Engineering 2011
  • Place of Presentation: Instituto Politecnico Nacional, Mexico City
  • Year and Date: 2011-11-10
• [Presentation] 2次元Helmholtz方程式に対する基本解近似解法の理論誤差評価と最適性 (2011)
  • Author(s): 緒方秀教・杉原正顯
  • Organizer: 日本応用数理学会2011年度年会
  • Place of Presentation: 同志社大学今出川キャンパス
  • Year and Date: 2011-09-16
• [Presentation] 電気双極子代用電荷法と数値等角写像への応用 (2011)
  • Author(s): 緒方秀教
  • Organizer: 京都大学数理解析研究所EIMS研究集会「科学技術における理論と応用の新展開」
  • Place of Presentation: 京都大学数理解析研究所(招待講演)
  • Year and Date: 2011-09-16
• [Presentation] Theoretical error estimate and near optimality of the method of fundamental solutions for the two-dimensional Helmholtz equation in the exterior region of a disk (2011)
  • Author(s): H.Ogata and M.Sugihara
  • Organizer: International Conference WI&E (Waves in Science and Engineering)
  • Place of Presentation: Instituto Polit e cnico Nacional,Mexico City, Mexico
• [Presentation] 電気双極子代用電荷法と数値等角写像への応用 (2011)
  • Author(s): 緒方秀教
  • Organizer: RIMS研究集会「科学技術計算における理論と応用の新展開」
  • Place of Presentation: 京都大学数理解析研究所,京都
• [Presentation] 2次元Helmholtz方程式に対する基本解近似解法の理論誤差評価と最適性 (2011)
  • Author(s): 緒方秀教
  • Organizer: 日本応用数理学会2011年度年会
  • Place of Presentation: 同志社大学今出川キャンパス,京都
• [Presentation] Atheoretical study of the fundamental solution method for waveproblems (2010)
  • Author(s): Hidenori Ogata
  • Organizer: The Third China-Japan-Korea International Conference on Numerical Mathematics
  • Place of Presentation: Gangneung-Wonju Natioanl University, Gangneung, Korea
  • Year and Date: 2010-08-22
• [Presentation] 2次元円板外部領域におけるHelmholtz方程式Neumann境界値問題に対する基本解近似解法の理論誤差評価 (2010)
  • Author(s): 緒方秀教
  • Organizer: 日本応用数理学会2010年度年会
  • Place of Presentation: 明治大学,東京
• [Presentation] A theoretical study of the fundamental solution method for wave problems (2010)
  • Author(s): H.Ogata, F.Chiba and T.Ushijima
  • Organizer: The 2010 NIMS Conference & The Third China-Japan-Korea Joint Conference on Numerical Mathematics
  • Place of Presentation: Gangneung Resortel, Gangneung, Korea
• [Presentation] 一般Jordan領域のポテンシャル問題に対する代用電荷法不変スキームの収束定理
  • Author(s): 緒方秀教
  • Organizer: 応用数学合同研究集会
  • Place of Presentation: 龍谷大学瀬田キャンパス
• [Presentation] Convergence of the invariant scheme of the method of fundamental solutions for two-dimensional potential problems in a Jordan region
  • Author(s): H. Ogata
  • Organizer: New Zealand Mathematical Society Colloquium 2012
  • Place of Presentation: Massey University, Palmerston North, New Zealand
• [Presentation] 2次元ポテンシャル問題に対する双極子法における点配置について
  • Author(s): 緒方秀教
  • Organizer: 日本応用数理学会2012年度年会
  • Place of Presentation: 稚内全日空ホテル
• [Book] 変分法 (2011)
  • Author(s): 緒方秀教
  • Total Pages: 197
  • Publisher: コロナ社