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Development of Verified Methods for Numerical Simulations with Domain Decompsition Methods

Research Project

Project/Area Number 13555021
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section展開研究
Research Field Engineering fundamentals
Research InstitutionNihon University

Principal Investigator

NAKAMURA Masaaki  Nihon University, Collegs of Science and Technology, Professor, 理工学部, 教授 (00017419)

Co-Investigator(Kenkyū-buntansha) TABATA Masahisa  Kyushu University, Faculty of Mathematics, Professor, 数理学研究院, 教授 (30093272)
IKEDA Tsutomu  Ryukoku University, Faculty of Science arid Technology, Professor, 理工学部, 教授 (50151296)
IMAI Hitoshi  The University of Tokushima, Faculty of Engineering, Professor, 工学部, 教授 (80203298)
ZHANG Shao-liang  University of Tokyo, Faculty of Technology, Associate Professor, 大学院・工学系研究科, 助教授 (20252273)
MORI Masatake  Tokyo Denki University, School of Science and Technology, Professor, 理工学部, 教授 (20010936)
Project Period (FY) 2001 – 2003
Project Status Completed (Fiscal Year 2003)
Budget Amount *help
¥13,500,000 (Direct Cost: ¥13,500,000)
Fiscal Year 2003: ¥3,000,000 (Direct Cost: ¥3,000,000)
Fiscal Year 2002: ¥2,900,000 (Direct Cost: ¥2,900,000)
Fiscal Year 2001: ¥7,600,000 (Direct Cost: ¥7,600,000)
Keywordsdomain decomposition / parallel computing / FEM and FDM / precondition / simulation / fluid dynamics / phase separation / nonlinear problems / interative method / precondiion / Navier -Stokes equation / spinodal decomposition / infinnite precision / computation mechanics / fluid dynamics
Research Abstract

In the term of the project (three years) many results are obtained. Important results are shown as follows.
1. Development of methods fot numerical simulation
New method of a fast numerical computation by vectorization.
Simulation by paralel computaions.
Numerical simulation in Infinite precisions.
New pre-condition methods.
Analysis of numerical integrations.
Mesoscopic simulation of concrete materials.
2. Applied and numerical analysis of nonlinear problems.
Analysis of the system of phase separations.
Error estimates for finite element methods.
Code of finite element methods for mandtle convections.
Analysis of reaction-diffusion systems.
Navier-Stokes equations with friction type boundary conditions.
Numerical methods for free boundary problems.
Analysis microwave problems using multi grids methods.
3. Numerical simulations of several fluid dynamics.
Two-phase flows.
Navier-Stokes flows.
Blood flow in brain

Report

(4 results)
  • 2003 Annual Research Report   Final Research Report Summary
  • 2002 Annual Research Report
  • 2001 Annual Research Report
  • Research Products

    (135 results)

All Other

All Publications (135 results)

  • [Publications] T.Hanada, N.Ishimura, M.Nakamura: "Stable finite difference scheme for the Eguchi-Oki-Matsumura equation"Journal of Applied Mathematics and Computations. vol.15,No.1. 95-104 (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] T.Hanada, N.Ishimura, M.Nakamura: "On Eguchi-Oki-Matsumura equation for phase separation in one space dimension"SIAM Journal on Mathematical Analysis. (To appear). (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] T.Hanada, H.Imai, N.Ishimura, M.Nakamura: "Eguchi-Oki-Matsumura equation for phase separation : Numerically guided approach."Recent Development in Theories & Numerics. Proceedings of International conference on inverse problems. (World Scientific). 433-442 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] T.Hanada, N.Ishimura, M.Nakamura: "On a stable finite difference scheme for a model equation of phase separation."Proceedings of the Third International Workshop on Scientific Computing and Applications. (to appear). (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] S.Ihara et al.: "Identification of gene expression profile in tolerizing murine cardiac allograft by costimulatory blockade"Physiological Genomics. (to appear). (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Imai, T.Takeuchi: "Direct simulation of an integral equation of first kind"Recent Development in Theories & Numerics. Proceedings of International conference on inverse problems. (World Scientific). 247-254 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] T.Takeuchi, H.Imai: "Direct numerical simulation of Cauchy problems for the Laplace operator"Advances in Mathematical Sciences and Applications. 13. 433-442 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 今井 仁司: "応用解析における多倍長計算"数学. 55. 316-325 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Y.Fujita, K.Ohmori: "A comparison theorem for Bellman equation of ergodic control"Differential and Integral Equation. 16. 641-651 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] K.Ohmori, S.Fujima, Y.Fujita: "Convergence analysis of the interfacial transport phenomena"Math.J.of Toyama Univ.. 26. 109-129 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Suito, H.Kawarada: "Numerical simulation of spilled oil by fictitious domain method"JJIAM. (to appear). (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] T.Tanaka: "Integration of Chandrasekhar's integral equation"Journal of Quantitative Spectroscopy & Radiative Transfer. 76. 121-144 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Mayinur Muhammad, M.Mori: "Double exponential formulas for numerical indefinite integration"Journal of Computational and Applied Mathematics. 13,4. 431-448 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 森正武, マイヌルメメット: "二重指数関数型変換による累次積分の計算法"日本応用数理学会論文誌. 13,4. 485-493 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 安田 英典: "2相流浅水波方程式と不変的差分スキーム"日本応用数理学会論文誌. 13. 45-57 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 安田 英典: "2相流浅水波方程式の2次元不変的差分スキーム"日本応用数理学会論文誌. 13. 417-438 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Igarashi, K.Ooi, T.Honma: "A magnetostatic reconstruction of permeability distribution in material"Inverse problems in Engineering Mechanics IV Elsevier. 383-388 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] T.Tanaka: "Integration of Chandrasekhar's integral equation"Journal of Quantitative Spectroscopy & Radiative Transfer. 76. 121-144 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] M Tabata: "Finite element approximation to infinite Prandtl number Boussinesq equations with temperature dependent coefficients- thermal convection problems in a spherical shell"Future Generation Computer Systems. (to appear). (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 曾我部知広, 金成海, 阿部邦美, 張紹良: "CGS法の改良について"日本応用数理学会論文誌. (to appear). (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] K.Abe, S.-L.Zhang: "A Strategy of fast solvers for elliptic boundary value problems"Shock Waves/ Vortex Intersections, Proceedings of the 4th international workshop on Shock Wave/Vortex Intersections. 169-177 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 曾我部知広, 藤野清次, 張紹良: "COCG法の積型解法について"京都大学数理解析研講究録. 1320. 201-211 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] S.Fujima, K.Ohmori: "Benchmark problems for numerical schemes to passively transported interfaces"International Journal of computational fluid dynamics. (to appear). (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] K.Watanabe, H.Igarashi, T.Honma: "Convergence of multigrid method applied to driven microwave problems"IEEE Trans.Magn.. 39,3. 1674-1676 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Igarashi, T.Honma: "Convergence of preconditioned conjugate gradient method applied to driven microwave problems"IEEE Trans.Magn.. 39,3. 1705-1708 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 和木, 五十嵐, 本間: "構造物内部の透磁率分布の逆解析"AEM学会誌. 11,2. 82-87 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 渡辺, 五十嵐, 本間: "辺有限要素解析におけるマルチグリッド法のロバスト性について"電気学会論文誌. 123,3. 257-262 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Igarashi, K.Ooi, T.Honma: "A magnetostatic reconstruction of permeability distribution in material"Inverse problems in Engineering Mechanics IV Elsevier. 383-388 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 森正武, マイヌルメメット: "二重指数関数型変換による不定積分の計算法"日本応用数理学会論文誌. 13,3. 361-366 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] E.Baba, H.Kawarada, W.Nishijima, M.Okada, H.Suito: "Waves and Tidal Flat Ecosystems"Springer. 164 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 藤田 宏: "大学での微積分学I"岩波書店. 173 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 藤田 宏: "大学での微積分学II"岩波書店. 298 (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] T, Hanada, N.Ishimura, M.Nakamura: "Stable finite difference scheme for the Eguchi-Oki-Matsuinura equation"Journal of Applied Mathematics and Computations. vol.15,No.1. 95-104 (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] T.Hanada, N.Ishimura, M.Nakamura: "On Eguchi-Oki-Matsumura eqaution for phase separation in one space dimension"SIAM Journal of Mathematical Analysis. (To appear). (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Y.Fujita, K.Ohmori: "A comparison theorem for Bellman equation of ergodic control"Differential and Integral Equation. vol.16. 641-651 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] K.Ohmori, S.fujima, y.Fujita: "Convergence analysis of the interfacial transport phenomena"Math.J.of Toyama Univesity. vol.26. 109-129 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] T.Takeuchi, H.Imai: "Direct numerical simulation of Cauchy problems for the Laplace operator"Advances in Mathematical Sciences and Applications, Gakkotosho. Vol.13. 433-442 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] M.Nagayama, H.Ikeda et al.: "Three-dimensional numerical simulations of hellically propagating combustion"J.of Material Sciences and processing. vol.9,No.3. 153-163 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Imai et al.: "Numerical computation of Lyapunov exponents related to attractors in a free boundary problems"Nonlinear Analysis. vol 47. 3823-3833 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] T.Kawamura et al.: "Numerical study of the flow and dynamics around a Cross-flow turbine"Theoretical and Applied Mechanics. vol.51. 231-240 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] M.Tabata, A.Suzuki: "Mathematical modeling and numerical simulation of Earth's mantle convection"Springer Lecture Note in computational Science and Engineering. vol.19. 161-177 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Rui, M.Tabata: "A second order characteristic finite element scheme for convection-diffusion problems"Numericshe Mathematik. vol.92. 161-177 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Suito, H.Kawarada: "Numerical simulations of spilled oil by fictitious domain method"Japan jpurnal of Industrial and Applied Mathematics. (to appear). (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Z.-Z.Bai, S.-L.Zhang: "A regularized conjugate gradient method for solving symmetric psitive definite system of linear equations"Journal of Computational Mathematics. vol.20,No.4. 437-448 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] S.-L.Zhang: "A class of product-type Krylov-subspace methods for solving non-symnetric linear systems"Journal of Computational and Applied Mathematics. vol.149,No.1. 297-305 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] T.Tanaka: "Solutions of radiative transfer in aniis6tropic plane-parallel atmosphere"J.Quantitaive Specroscopy & Radiattive Transfer. vol.83. 557-577 (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] T.Tanaka: "Integration of Chandrasekhar's integral equations"J.Quantitaive Specroscopy & Radiattive Transfer. vol.76. 121-144 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Igarashi, K.Ooi, H.Honma: "Convergence of multigrid method for edge-based finitie elemnet methosd"IEEE Trans.Magn.. vol.39,No.3. 1674-1676 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Igarashi, K.Ooi, H.Honma: "Convergence of preconditioned conjugate gradient method dapplied to driven microwave problems."IEEE Trans.Magn.. vol.39,No.3. 1705-1708 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Fujita: "A coherent analysis of Stokes flows under boundary conditions of friction type"Journal ComAppl.Math. vol.149. 57-69 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Fujita: "Non-stationary Stokes flows under leak boundary conditions of friction type"Journal of computing Mathematics. vol.19,No.1. 1-8 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] M.Muhammad, M.Mon: "Double exponential formula for numerical indefinite integrations"Journal of Comput.Appl.Math.. vol 161,No.2. 431-448 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] T.Hanada, N.Ishimura, M.Nakamura: "Stable finite difference scheme for the Eguchi-Oki-Matsumura equation"Journal of Applied Mathematics and Computations. vol.15,No.1. 95-104 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] T.Hanada, N.Ishimura, M.Nakamura: "On Eguchi-Oki Matsumura equation for phase separation in one space dimension"SIAM Journal of Mathematical Analysis. (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] T.Hanada, H.Imai N.Ishimura, M.Nakamura: "Eguchi-Oki-Matsumura equations for phase separation : Numerically guided approach"Recent Development in Theories & Numerics. Proceedings of International conference on inverse problems. World Scientific. 433-442 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] T.Hanada, N.Ishimura, M.Nakamura: "On a stable finite difference scheme for a model equation of phase separation"the proceedings of the Third International Workshop on Scientific Computing and Applications. (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] S.Ihara, et al.: "Identification of gene expression profile in tolerizing murine cardiac allograft by costimulatory blockade"Physiologocal Genomics. (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Imai, T.Takeuchi: "Direct simulation of an integral equation of first kind"Recent Development in Theories & Numerics. Proceedings of International conference on inverse problems. World Scientific. 247-254 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] T.Tanaka: "Integration of Chandrasekhar's integral equation"Journal of Quantative Spectroscopy & Radiative Trandfer. 76. 121-144 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] M.Tabata: "Finite element approximation to infinite Prandtl number Boussinesq equations with temperature dependent coefficients- thermal convection problems in a spherical shell"Future Generation Computer Systems. (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] 曾我部知広, 金成海, 阿部邦美, 張紹良: "CGS法の改良について"日本応用数理学会論文誌. (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] K.Abe, S.-L.Zhang: "A Strategy of fast solvers for elliptic boundary value problems"Shock Waves/Vortex Intersections, Proceedings of the 4th international workshop on Shock Wave/Vortex Intersections. 169-177 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 曾我部知広, 藤野清次, 張紹良: "COCG法の積型解法について"京都大学数理解析研講究録. 1320. 201-211 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] S.Fujima, K.Ohmori: "Benchmark problems for numerical schemes to passively transported interfaces"International Journal of computational fluid dynamics. (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] T.Takeuchi, H.Imai: "Direct numerical simulation of Cauchy problems for the Laplace operator"Advances in Mathematical Sciences and Applications. 13. 433-442 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 今井 仁司: "応用解析における多倍長計算"数学. 55. 316-325 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Y.Fujita, K.Ohmori: "A comparison theorem for Bellman equation of ergodic control"Differential and Integral Equation. 16. 641-651 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] K.Ohmori, S.Fujima, Y.Fujita: "Convergence analysis of the interfacial transport phenomena"Math.J.of Toyama Univ.. 26. 109-129 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Suito, H.Kawarada: "Numerical simulation of spilled oil by fictitious domain method"JJIAM. (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] K.Watanabe, H.Igarashi, T.Honma: "Convergence of multigrid method applied to driven microwave problems"IEEE Trans.Magn.. 39,3. 1674-1676 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Igarashi, T.Honma: "Convergence of preconditioned conjugate gradient method applied to driven microwave problems"IEEE Trans.Magn.. 39,3. 1705-1708 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 和木, 五十嵐, 本間: "構造物内部の透磁率分布の逆解析"AEM学会誌. 11,2. 82-87 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 渡辺, 五十嵐, 本間: "辺有限要素解析におけるマルチグリッド法のロバスト性について"電気学会論文誌. 123,3. 257-262 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Igarashi, K.Ooi, T.Honma: "A magnettistatic reconstruction of permeability distribution in material"Inverse Problems in Engineering Mechanics. IV. 383-388 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 森正武, マイヌルメメット: "二重指数関数型変換による不定積分の計算法"日本応用数理学会論文誌. 13,3. 361-366 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Mayinur Muhammad, M.Mori: "Double exponential formula for numerical indefinite integration"Journal of Computational and Applied Mathematics. 13,4. 431-448 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 森正武, マイヌルメメット: "二重指数関数型変換による累次積分の計算法"日本応用数理学会論文誌. 13,4. 485-493 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 安田 英典: "2相流浅水波方程式と不変的差分スキーム"日本応用数理学会論文誌. 13. 45-57 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 安田 英典: "2相流浅水波方程式の2次元不変的差分スキーム"日本応用数理学会論文誌. 13. 417-438 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] E.Baba, H.Kawarada, W.Nishijima, M.Okada, H.Suito: "Waves and Tidal Flat Eccosystems"Springer. 164 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 藤田 宏: "大学での微積分学II"岩波書店. 298 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] 藤田 宏: "大学での微積分学I"岩波書店. 173 (2003)

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  • [Publications] T.Hanada, N.Ishimura, M.Nakamura: "Numerical analysis of Eguchi-Oki-Matsumura equations II"the proceedings of the fifth China-Japan joint-seminar on numerical mathematics. Science Press. 38-46 (2002)

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  • [Publications] 花田孝郎, 石村直之, 中村正彰: "江口・沖・松村方程式の解の構造"京都大学数理解析研究所講究録. 1288. 11-18 (2002)

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  • [Publications] T.Hanada, H.Imai, N.Ishimura, M.Nakamura: "Eguchi-Oki-Matsumura equations for phase separation : Numerically guided approach"the proceedings of international conference on inverse problems. (to appear). (2003)

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  • [Publications] T.TAKEUCHI, H.IMAI: "Domain Decomposition Method and Infinite-Precision Numerical Simulation,"京都大学数理解析研究所講究録. 1288. 102-107 (2002)

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  • [Publications] T.Matsuo, M.Sugihara, D.Furihata, M.Mori: "Spatially accurate dissipative or conservative schemes derived by the discrete varia-tional mathod,"Japan J. Industr. Appi. Math.. 19. 311-330 (2002)

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  • [Publications] H.Rui, M.Tabata.: "A second order characteristic finite element scheme for convection-diffusion problems"Numerische Mathematik. 92. 161-177 (2002)

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  • [Publications] S.Fujima, K.Ohrnoii: "Finite element analysis using a regularized Heaviside function for interfacial transport phenomena"Proceedings of Computational Engineering Conference. 7. 757-758 (2002)

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  • [Publications] S.Fujima, K.Ohmori: "Benchmark problems for numerical schemes to passively transported interface"Computational Fluid Dynamics Journal. (to appear). (2003)

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  • [Publications] S.-L.Zhang, K.Nakata: "Generalized conjugate residual method for solving large and dense linear systems in semidefinite programming"Proceedings of the Fifth China-Japan Seminar on Numerical Mathematics (Science Press). 234-241 (2002)

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  • [Publications] T.Kawamura, Y.Sato, A.Shinohara, M.Kan: "Numerical Study of the Flow and Dynamics around a Cross-Flow Turbine"Theoretical and Applied Mechanics. 51. 231-240 (2002)

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  • [Publications] T.Kawamura, Y.Sato, M.Kan: "Numerical Study of the Flow around the High-Torque Wind Turbine of Vertical Axis Type"Proc.2nd Int. Conf. Comput. Fluid Dynamics (ICCFD2). (to appear). (2003)

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  • [Publications] S.Kaneko, T.Kawamura: "Numerical Study of the Flow around Two Yawed and Parallel Circular Cylinders"Theoretical and Applied Mechanics. 51. 199-205 (2002)

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  • [Publications] S.Kaneko, T.Kawamura: "Numerical Study of the Flow around Two Yawed and Parallel Circular Cylinders"Theoretical and Applied Mechanics. 51. 199-205 (2002)

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  • [Publications] T.Kawamura, K.Ootsuki, T.Hayashi: "Numerical Study of the Flow around the Cross Flow Turbine of Many Blades Type with Accessories for Improvement of its Performance"Proc. World Wind Energy Conf.. (to appear). (2003)

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  • [Publications] S.-L.Zhang, K.Nakata, M.Kojima: "Incomplete orthogonalization preconditioners for solving large and dense linear systems which arise from Semidefinite Programming"Applied Numerical Mathematics. 41. 235-245 (2002)

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  • [Publications] Z.-Z.Bai, S.-L.Zhang: "A regularized conjugate gradient method for symmetric positive definite system of linear equations"Journal of Computational Mathematics. 20-4. 437-448 (2002)

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  • [Publications] S.-L.Zhang: "A class of product-type Krylov-subspace methods for solving nonsymmetric linear systems"Journal of Computational and Applied Mathematics. 149-1. 297-305 (2002)

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  • [Publications] S.Itoh, S.-L.Zhang, Y.Oy-anagi, M.Natori: "Effect on spectral properties by the splitting correction preconditiofling for linear systems that arise from periodic boundary problemsi"Enabling Society with Information Technology (eds. Q. Jin et al.) (Springer). 234-243 (2002)

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  • [Publications] C.-H., Jin, S-L.Zhang, H.Imai: "A CGS-like method for solving nonsymmetric linear systems"Proceedings of the Fifth China-Japan Seminar on Numerical Math-ematics (Science Press). 147-153 (2002)

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  • [Publications] H.Kawarada, H.Suito: Proceedings of the Fifth China-Japan Seminar on Numerical Math-ematics (Science Press). (2002)

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  • [Publications] 水藤寛, 河原田秀夫, et al.: "脳脊髄液流動解析における数値シミュレーション"京都大学数理解析研究所講究録. 1288. 81-85 (2002)

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  • [Publications] 井原茂男: "バイオインフォーマティクスにおける非線形間題"京都大学数理解析研究所講究録. 1288. 20-29 (2002)

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  • [Publications] 渡辺浩田太, 五十嵐一, 本間利久: "電時解析におけるマルチグリッド法の有限要素法への適用について"京都大学数理解析研究所講究録. 1288. 115-121 (2002)

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  • [Publications] 安田英典: "ナノテクノロジーの数理"京都大学数理解析研究所講究録. 1288. 136-144 (2002)

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  • [Publications] 河村哲也, 佐藤祐子: "Numerical simulation of the flow around a cross-flow wind turbine"京都大学数理解析研究所講究録. 1288. 44-51 (2002)

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  • [Publications] Tasuku Tanaka: "Integration of Chandrasekhar' integral equation"Journal of Quantitative Spectroscopy & Radiative Transfer. 76. 121-144 (2003)

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  • [Publications] T.Tanaka, Menghua Wang: "Solution of Radiative Transfer In Anisotropic Plane-Parallel Atmosphere"Journal of Quantitative Spectroscopy & Radiative Transfer. (to appeare). (2003)

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  • [Publications] Takao Hanada, N.Ishimura, Masa Aki Nakamura: "Numerical analysis of Eguchi-Oki-Matsumura equations II"the proceedings of the fifth China-China joint-seminar on numerical mathematics. (to appear). (2002)

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  • [Publications] T.Hanada, H.Imai, N.Ishimura, M.Nakamura: "Eguchi-Oki-Matsumura equations for phase separation: Numerically guided approach"the proceedings of international conference on inverse problems. (to appear). (2002)

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  • [Publications] H.Suito, H.Kawarada: "Shape Optimization for an Acoustic Problem"Proceedings of 12th International Conference on Domain Decomposition Methods in Science and Engineering. 445-453 (2001)

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  • [Publications] H.Kawarada, H.Suito: "Multi-phase flow reaction"Mathematical Modeling and Numerical Simulation in Continuum Mechanics,Lecture Notes in Computational Science and Engineering. 19. 39-56 (2001)

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  • [Publications] M.Mori, M.Sugihara: "The double exponential transformation in numerical analysis"Journal of Comput.Appl.Math.. 127. 287-296 (2001)

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  • [Publications] M.Mori: "Optimality of the double exponential transformation in numerical analysis"Sugaku Exposition. 14,No.1. 103-1* (2001)

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  • [Publications] M.Tabata: "Uniform solvability of finite element solutions in approximate domains"Japan Journal of Industrial and Applied Mathematics. 18. 567-585 (2001)

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  • [Publications] Y.Mizuyama, M.Tabata: "Lagrangian finite element analysis of the free surface of an incompressible dielect liquid under an electric field"Theoretical Applied Mechanics. 50. 403-410 (2001)

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  • [Publications] M.Tabata, S.Fujima: "Numerical analysis of flow problems by finite element methods"Sugaku Expositions. 14. 155-174 (2001)

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  • [Publications] H.Rui, M.Tabata: "A second order characteristic finite element scheme for convection-diffusion problems"Numerische Mathematik. (to appear). (2002)

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  • [Publications] M.Tabata, A.Suzuki: "Mathematical modeling and numerical simulation of Earth's mantle convection"Mathematical Modeling and Numerical Simulation in Continuum Mechanics,Lecture Notes in Computational Science and Engineering. 19. 219-231 (2001)

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  • [Publications] 池田勉, 長山雅晴: "燃焼合成反応におけるヘリカル波"応用数理. 11,No.2. 40-48 (2001)

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  • [Publications] M.Nagayama, T.Ikeda, T.Ishiwata, N.Tamura, M.Ohyanagi: "Three-dimensional numerical simulation of helically propagating combustion waves"J.of Material Synthesis and Processing. 9,No.3. 153-163 (2001)

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  • [Publications] T.Nishida, T.Ikeda, H.Yoshihara: "Pattern formation of heat convection problems"Mathematical Modeling and Numerical Simulation in Continuum Mechanics,Lecture Notes in Computational Science and Engineering. 19. 209-218 (2001)

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  • [Publications] M.Kan, T.Kawamura, K.Kuwahara: "Numerical Study of the Sand Movement around a Cylindrical Body Standing on the Sand"JSME International Journal Series B. 44,No.3. 427-433 (2001)

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  • [Publications] M.Iwata, T.Kawamura, N.I.Wakayama: "Three-Dimensional Numerical Study of the Magnetic Effect on the Air Flow at an Intake"Theoretical and AppliedMechanics. 50. 289-294 (2001)

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  • [Publications] T.Hayashi, S.Yamashita, H.Yamada, T.Kawamura: "Experimental and Numerical Study of the Flow around the Rotating Savonius Rotor"Proceedings of Europian Wind Energy Conference. 398-401 (2001)

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  • [Publications] S.Saitoh, M.Mori: "representation of analytic functions in terms of local values by means of the Riemann mapping function"Complex Variables. 45. 387-393 (2001)

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  • [Publications] K.Ohmori: "Convergence of the interface in the finite element approximation for two-fluid flows"Lecture Notes in Pure and Applied Mathematics,the Navier-Stokes Equations: Theory and Numerical Methods. 223. 279-293 (2001)

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  • [Publications] H.Fujita: "Non-stationary Stokes flows under leak boundary conditions of friction type"Journal of computing Mathematics. 19-1. 1-8 (2001)

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  • [Publications] S.Komurasaki, T.Kawamura, K.Kuwahara: "Simulation of Thermal Convection in a Stratified Fluid Flow"AIAA paper. 2002-0877. 1-10 (2002)

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  • [Publications] B.Yu, G.-C.Feng, S.-L.Zhang: "The aggregate constraint homotopy method for nonconvex nonlinear programming"Nonlinear Anal.. 45-7. 839-847 (2001)

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  • [Publications] 花田孝郎, 石村直之, 中村正彰: "相分離問題におけるEOM方程式の数値解析"第51回理論応用力学講演会講演論文集. 639-640 (2002)

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  • [Publications] 檜山聡, 篠田大輔, 藤間昌一: "高次モルタル型領域分割法とその並列計算"第51回理論応用力学講演会講演論文集. 501-502 (2002)

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  • [Publications] H.Fujita, N.Saito, T.Suzuki: "Operator Theory and Numerical Methods"Elsevier. 309 (2001)

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  • [Publications] 河村哲也, 菅牧子, 桑原邦郎, 小紫誠子: "環境流体シミュレーション"朝倉書店. 199 (2001)

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Published: 2001-04-01   Modified: 2016-04-21  

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