Coordinative research on numerical analysis of complex systems and optimal control

2000 Fiscal Year Final Research Report Summary

• Project/Area Number: 10440025
• Research Category: Grant-in-Aid for Scientific Research (B).
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: General mathematics (including Probability theory/Statistical mathematics)
• Research Institution: Chiba 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)
• Project Period (FY): 1998 – 2000
• Keywords: Complex systems / Numerical analysis / Ecosystem / Multi-phase flow / Free surface problem / Mathem atical modeling / Domain decomposition method / Optimization algorithm

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.

Research Products

• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [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
• [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