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Coordinative research on numerical analysis of complex systems and optimal control

Research Project

Project/Area Number 10440025
Research Category

Grant-in-Aid for Scientific Research (B).

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionChiba University

Principal Investigator

KAWARADA Hideo  Chiba University, Eng. Prof., 工学部, 教授 (90010793)

Co-Investigator(Kenkyū-buntansha) KAKO Takashi  University of Electro-Communications, Comput. Science and Information Mathematics, Prof., 電気通信学部, 教授 (30012488)
MORI Masatake  Kyoto University, Research Institute for Mathematical Sciences, Prof., 数理解析研究所, 教授 (20010936)
FUJITA Hiroshi  Tokai University, Research Institute of Educational Development, Prof., 教育開発研究所, 教授 (80011427)
TSUTSUMI Masayoshi  Waseda University, Applied Physics, Prof., 理工学部, 教授 (70063774)
NAKAO Mitsuhiro  Kyushu University, Graduate School of Mathematics, Prof., 大学院・数理学研究科, 教授 (10136418)
田端 正久  九州大学, 大学院・数理学研究科, 教授 (30093272)
今井 仁司  徳島大学, 工学部, 教授 (80203298)
松葉 育雄  千葉大学, 工学部, 教授 (30251177)
中村 正彰  日本大学, 理工学部, 助教授 (00017419)
池田 勉  龍谷大学, 理工学部, 教授 (50151296)
Project Period (FY) 1998 – 2000
Project Status Completed (Fiscal Year 2000)
Budget Amount *help
¥6,400,000 (Direct Cost: ¥6,400,000)
Fiscal Year 2000: ¥3,000,000 (Direct Cost: ¥3,000,000)
Fiscal Year 1999: ¥3,400,000 (Direct Cost: ¥3,400,000)
KeywordsComplex systems / Numerical analysis / Ecosystem / Multi-phase flow / Free surface problem / Mathem atical modeling / Domain decomposition method / Optimization algorithm / 油濁 / 沿岸生態系 / 大規模連立一次方程式 / 反復解法 / 有限要素法 / Navier-Stokes方程式 / ニューラルネットワーク / 最適化 / 複雑形状 / 数学的モデル / 非線形偏微分方程式
Research Abstract

This project has continued for three years from 1998 to 2000. Fruiful and hopeful research results have been obtained by collaborations of excellent cooperators.
We are sure that these results promise great success in the field of environments, industrial and applied mathematics.
Main topics of research results are the followings.
Developments of modeling for environment problems.
Developments of numerical algorithm and programing for various complex phenomena.
Developments of hybrid algorithm for global optimization problems.
Developments of analysis and numerical simulation in the fluid dynamics.

Report

(4 results)
  • 2000 Annual Research Report   Final Research Report Summary
  • 1999 Annual Research Report
  • 1998 Annual Research Report
  • Research Products

    (77 results)

All Other

All Publications (77 results)

  • [Publications] 河原田秀夫: "流出原油の沿岸生態系に対する影響"数学会年会論文集. (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Kawarada: "Multi-phase Flow with Reaction"Proceedings of FEM3D. (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Kawarada: "Effect of spilled oil on Coastal Ecosystems"ECCOMAS 2000 CD-ROM Proceedings. (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] C.Bernardi: "A Finite Element Problem issued from Fictilious Domain Techniques"To appear in Computational Mechanics. (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Suito: "Shape Optimization for an Acoustic Problem"Proceedings of 12th International Conference on Domain Decomposition Methods. 419-426 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] M.Mori: "The double exponential transformation in numerical analysis"To appear in J.Comput.Appl.Math.. (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] M.Mori: "Optimality of the double exponential transformation in numerical analysis"To appear in Sugaku.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Fujita: "Operator Theory and Numerical Methods, III. Evolution Equations and FEM"Research Reports in Mathematics 2000. No.2. 109-183 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Fujita: "Non-stationary Stokes flows under leak boundary conditions of friction type"Shape Journal of Computing Mathematics. Vol.19 No.1. 1-8 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 木村正人: "平均曲率流に対する符号付距離関数を用いたレベルセット法"日本応用数理学会論文誌. Vol.10. 101-118 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] M.Kimura: "Shape derivative and linearization of moving boundary problems"GAKUTO International Series, Mathematical Sciences and Applications. Vol.13. 167-179 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 加古孝: "定常波動問題にたいする領域分割法とその応用"京都大学 数理解析研究所 講究録. 1129. 54-59 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 加古孝: "Numerical methods for radiation and resonance problems"京都大学 数理解析研究所. 1145. 78-85 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] M.Tsutsumi: "On the existence of the solution of the Time Dependent Ginzburg-Landau equations in R^3"Funckcialaj Ekvacioj. 43. 255-270 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] M.Tsutsumi: "On the Cauchy problem of the Time Dependent Ginzburg-Landau equations in R^3"Gakuto International Series Mathematical Sciences and Applications. 14. 1-10 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] M.Nakao: "Numerical verification method for solutions of the perturbed Gelfand equation"Methods and Applications of Analysis. 7. 251-262 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] M.Nakao: "Numerical enclosure for the optimal threshold probability in discounted Markov decision processes"Bulletin of Informatics and Cybernetics. 32. 81-90 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Kawarada and H.Suito: "Multi-phase Flow with Reaction"Proceedings of FEM3D. (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Kawarada, E.Baba and H.Suito: "Effect of spilled oil on Coastal Ecosystems"ECCOMAS2000. CD-ROM Proceedings. (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] C.Bernardi, V.Girault, F.Hecht, H.Kawarada and O.Pironneau: "A Finite Element Problem issued from Fictitious Domain Techniques"Computational Mechanics. (to appear). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Suito and H.Kawarada: "Shape Optimization for an Acoustic Problem, Domain Decomposition Methods in Science and Engineering"Proceedings of 12th International Conference on Domain Decomposition Methods. 419-426 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Masatake Mori and Masaaki Sugihara: "The double exponential transformation in numerical analysis"J.Comput.Appl.Math.. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Masatake Mori: "Optimality of the double exponential transformation in numerical analysis"Sugaku. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Saburou Saitoh and Masatake Mori: "Representation of analytic function in terms of local values of the Riemann mapping function"Complex Variables. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Fujita, T.Suzuki and N.Saito: "Operator Theory and Numerical Methods, III.Evolution Equations and FEM"Research Reports in Mathematics, Osaka University. No.2. 109-183 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] N.Saito and H.Fujita: "Remarks on traces of H^1-functions defined in a domain with corners"Journal of Mathematical Sciences, The University of Tokyo. Vol.7. 325-345 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Morimoto and H.Fujita: "Stationary Navier-Stokes flow in 2-dimensional Y-shape channel under general outflow condition"Lecture Notes in Pure and Appl.Math., Dekker. New-York (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] M.Kimura: "Time local existence of a moving boundary of the Hele-Shaw flow with suction"Euro.J.Appl.Math.. Vol.10. 581-605 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] M.Kimura: "Shape derivative and linearization of moving boundary problems"GAKUTO International Series, Mathematical Sciences and Applications. Vol.13. 167-179 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] "Numerical methods for radiation and resonance problems"1145. 78-85 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Akiyama, H.Kasai and M.Tsutsumi: "On the existence of the solution of the Time Dependent Ginzburg-Landau equations in R^3"Funckcialaj Ekvacioj. 43. 255-270 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Akiyama H.Kasaiand M.Tsutsumi: "On the Cauchy problem of the Time Dependent Ginzburg-Landau equations in R^3"Gakuto International Series Mathematical Sciences and Applications, Free Boundary Problems : Theory and Applications. Vol.14. 1-10 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Anada and M.Tsutsumi: "Stability fo solutions of nonlinear parabolic equations for harmonic mean curvature flow"Nonlinear Analysis. T.M.A (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Nakao, M.T., Lee, S.H.& Ryoo, C.S.: "Numerical verification of solutions for elasto-plastic torsion problems"Computers and Mathematics with Applications. 39. 195-204 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Minamoto, T., Yamamoto, N.& Nakao, M.T.: "Numerical verification method for solutions of the perturbed Gelfand equation"Methods and Applications of Analysis. 7. 251-262 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Toyonaga, K.& Nakao, M.T.: "Numerical enclosure for the optimal threshold probability in discounted Markov decision processes"Bulletin of Informatics and Cybernetics. 32. 81-90 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 河原田秀夫: "流出原油の沿岸生態系に対する影響"数学会年会論文集. (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] H.Kawarada: "Multi-phase Flow with Reaction"Proceedings of FEM 3D. (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] H.Kawarada : "Effect of spilled oil on Coastal Ecosystems"ECCOMAS 2000 CD-ROM Proceedings. (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] C.Bernardi: "A Finite Element Problem issued from Fictitious Domain Techniques"To appear in Computational Mechanics. (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] H.Suito: "Shape Optimization for an Acoustic Problem"Proceedings of 12th International Conference on Domain Decomposition Methods. 419-426 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] M.Mori: "The double exponential transformation in numerical analysis"To appear in J.Comput.Appl.Math.. (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] M.Mori: "Optimality of the double exponential transformation in numerical analysis"To appear in Sagaku.

    • Related Report
      2000 Annual Research Report
  • [Publications] H.Fujita: "Operator Theory and Numerical Methods, III.Evolution Equations and FEM"Research Reports in Mathematics 2000. No.2. 109-183 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] H.Fujita: "Non-stationary Stokes flows under leak boundary conditions of friction type"Shape Journal of Computing Mathematics. vol.19No.1. 1-8 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 木村正人: "平均曲率流に対する符号付距離関数を用いたレベルセット法"日本応用数理学会論文誌. Vol.10. 101-118 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] M.Kimura: "Shape derivative and linearization of moving boundary problems"GAKUTO International Series, Mathematical Sciences and Applications. Vol.13. 167-179 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 加古孝: "定常波動問題にたいする領域分割法とその応用"京都大学数理解析研究所講究録. 1129. 54-59 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 加古孝: "Numerical methods for radiation and resonance problems"京都大学数理解析研究所. 1145. 78-85 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] M.Tsutsumi: "On the existence of the solution of the Time dependent Ginzburg-Landau equations in R^3"Funckcialaj Ekvacioj. 43. 255-270 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] M.Tsutsumi: "On the Cauchy problem of the Time Dependent Ginzburg-Landau equations in R^3"Gakuto International Series Mathematical Sciences and Applications. 14. 1-10 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] M.Naskao: "Numerical verification method for solutions of the perturbed Gelfand equation"Methods and Applications of Analysis. 7. 251-262 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] M.Nakao: "Numerical enclosure for the optimal threshold probability in discounted Markov decision processes"Bulletin of Informatics and Cybernetics. 32. 81-90 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] H. Kawarada: "Optimal Shape of Pine for Sound Absorption in Water"Proceeding of 11th International Conference on Domain Decomposition Metheds. 270-281 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] H. Kawarada: "Wave Breaking Phenomenon on the Shore and Coastal Ecosystems"GAKUTO International Series, Mathematical Sciences and Applications. Vol.12. 65-74 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] T. Ooura: "A robust double exponential formula for Fourier-type integrals"J. Comput. Appl. Math.. 112巻・1/2号. 229-241 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] K. Itakura: "An error analysis of streaklines as curves"Japan Journal of Industrial and Applied Mathematics. 16. 1-23 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] A. Suzuki: "Numerical solution of an ansteady earth's mantle convection problem by a stabilized finite element method"Theoretical and Applied Mechanics. 48. 371-378 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] M. Tabata: "A finite element analysis of a linearized problem of the Navier-Stokes equations with surface tention"SIAM Journal on Numerical Analysis. (to appear).

    • Related Report
      1999 Annual Research Report
  • [Publications] M. T. Nakao: "Numerical verifications of eigenvalues of second-order elliptic operators"Japan Journal of Industrial and Applied Mathematics. 16. 307-320 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] K. Nagatou: "An approach to the numerical verification of solutions for nonlinear elliptic problems with local uniqueness"Numerical Functional Analysis and Optimization. 20. 543-565 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Y. Watanabe: "A numerical verification method of solutions for the Navier-Stokes equations"Reliable Computing. 5. 347-357 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] T. Kako: "Numerical simulation of wave propagation phenomena in vocal tract and domain decomposition method"Domain decomposition method in science and engineering Proceeding of the 11th International Conference on Domain Decomposition Methods in Greenwich, UK. 267-269 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] F. Chiba: "Stability and error analyses by energy estimate for Newmark's method"Reserch Report NIFS-PRO Series. NIFS-PRO-40. 82-91 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] H. Suyari: "Information theoritical approach to the storage capacity of neural networks with binary weights"Phys. Rev. E,. 6・4. 4576-4579 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] H. Suyari: "Storage capacity of neural networks with binary weights using the minimum distance between input patterns"Proceedings of International Joint Conference on Neural Networks (IJCNN), Washington D.C.. 62-62 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] H. Imai: "Motion of Spirals by Crystalline Curvature"Mathematial Modelling and Numerical Analysis. 33・4. 797-806 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] H. Imai: "On Numerical Simulation of Partial Differential Equations in Infinite Precision"Advances in Mathematical Sciences and Applications. 9・2. 1007-1016 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] H. Imai: "A Crystalline Motion of Spiral-Shaped Curves with Symmety"Journal of Mathematical Analysis and Applications. 240・1. 115-127 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] N. Ishimura: "Nonexistence of monotonic solutions of some third order ODE relative to the Kuramoto-Sivashinsky equation"Tiwanese Journal of mathematics. (to appear). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] T. Hanada: "Numerical analysis of Eguchi-Oki-Matsumura equations"GAKUTO International Series, Mathematical Sciences and Applications, Advances in numerical mathematics in Japan and China. 12. 213-222 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Hideo KAWARADA: "Multi-Start Fuzzy Optimization Method" GAKUTO International Series,Mathematical Sciences and Applications. Vol.11. 338-345 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Hideo KAWARADA: "Vorticity Reduction Problem for the Steady Flow in a Chennel with a Back Step" GAKUTO International Series,Mathematical Sciences and Applications. Vol.11. 360-373 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Hideo KAWARADA: "A Sharp Interface Capturing Technique in the Finite Element Approximation for Two-Fluid Flows" Navier-Stokes Equations : Theory and numerical methods Pitman Reserach Notes in Math.Vol.388. 310-321 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Masahisa TABATA: "A precise computation of drag coefficients of a sphere" The International Journal of Computational Fluid Dynamics. 9. 303-311 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Masahisa TABATA: "Finite element approximation to infinite Pranacl number Boussinesq equations with slip boundary condition" In Papailiou,K・D.et al.,Computational Fluid Dynamics '98,John Wiley & Sons.22-27 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Takashi KAKO: "Higher order racliation boundary condition and finite element method for scattering problem" Adv.Math.Sci.Appli.8-2. 801-819 (1998)

    • Related Report
      1998 Annual Research Report

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Published: 1999-04-01   Modified: 2016-04-21  

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