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1990 Fiscal Year Final Research Report Summary

Coordinative Research on Numerical Analysis and Applied Analysis

Research Project

Project/Area Number 01302007
Research Category

Grant-in-Aid for Co-operative Research (A)

Allocation TypeSingle-year Grants
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionChiba University, Faculty of Engineering

Principal Investigator

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

Co-Investigator(Kenkyū-buntansha) SUZUKI Takashi  Tokyo Metr. Univ. Sci. Ass. Prof., 理学部, 助教授 (40114516)
MORI Masatake  Tokyo Univ. Eng. Prof., 工学部, 教授 (20010936)
IRI Masao  Tokyo Univ. Eng. Prof., 工学部, 教授 (40010722)
FUJITA Hiroshi  Meiji Univ. Sci. -Eng. Prof., 理工学部, 教授 (80011427)
YAMAGUCHI Masaya  Ryukoku Univ. Sci. -Eng. Prof., 理工学部, 教授 (30025796)
Project Period (FY) 1989 – 1990
KeywordsNumerical analysis / Finite element method / Fast automatic differentiation / Round error / Free boundary / Optimal shape design / Bifurcation phenomena / Viscous fluid
Research Abstract

This project has continued for two years from 1989 to 1990 . Fruitful and hopeful research results have been obtained by collaborations of excellent cooperators. It seems that these results promise great success in the field of mathematical sciences in the near future.
Main topics of research results are the followings.
1. Developments of algorithm and programing for computation.
2. Developments of analysis and simulation in the fluid dynamics, reaction diffusion equation, Maxwell equations and optimal shape design.

  • Research Products

    (51 results)

All Other

All Publications (51 results)

  • [Publications] H.IMAI,H.KAWARADA: "A method for finding bifurcattion points" Control and cyberntlcs. 19(3). (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] A.SASAMOTO,H.IMAI,H.KAWARADA: "A practical method for an illーconditioned optimal shape design of a vessel in which plasma is confined" (submitted).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.KAWARADA,H.KOSHIGOE: "The unsteady flow in the porous media with a free surface" J.J.lnd.Apple.Math. 8(1). 41-82 (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Fujita,T.Suzuki: "Evolution Problems" Handbook of Numerical Analysis vol.11,Finite Element Methods(Part 1),Elsevier Science Publishers B.V. 11. 791-928 (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 山口 昌哉: "新しい応用数学と技術" 計測と制御(5月). 29(5). 449-458 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 山口 昌哉,山田 道夫: "ウェ-ブレット解析" 科学(6月). 398-405 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Iri: "Automatic differentiation and rounding error estimationーOverview and History." SIAM Workshop on “Automatic Differentiation of Algorithmsー Theory,Implementation,and Application",January 6ー8 Breckenridge,Colorado,U.S.A.(1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Kishimoto,M.Iri: "A practical approach to the definition and measurement of “length"." Japan Journal of Applied Mathematics. 6(2). 179-207 (1989)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Yamamoto and X.Chen: "Ballーconvergence theorems and error estimates for certain iterative methods for nonlinear equations" Japan J.Appl.Math.7. 7. 131-143 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Yamamoto and X.Chen: "An existence and nonexistence theorem for solutions of nonlinear systems and its application to algebraic equations" J.Computational and Applied Mathematics.30. 30. 87-97 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Mori: "Developments in the double exponential formulas for numerical integration." to appear in the Proceedings of the International Congress of Mathematicians,Kyoto,SpringerーVerlag.(1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Fujino,M.Mori,T.Takeuchi: "Performance of hyperplane ordering on vector computers" submitted to J.Comput.Appl.Math.

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 松木 美保子,牛島 照夫: "水の波偏差分方程式の享固有値問題、自由境問題の数値解析とその周辺" 数理解析研究所講究録. 724. 154-177 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Nishiura,M.Mimura,H.Ikeda and H.Fujii: "Singular limit analysis of stability of travelling wave solutions in bistable reactionーdiffusion systems" SIAM J.Math.Appl.21(1). 85-122 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Fujii,Y.Nishiura,M Mimura & R.Kobayashi: "Instability of Planar Traveling Fronts in Phase Field Model of Solidifications" to appear in Proc.U.S.ー Japan Seminar1989. (1989)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.ーI.Ei and M.Mimura: "Pattern formation in heterogeneous reactionーdiffusionーadvection sysrems with an application to population dynamics" Appl.Math.21. 346-361 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] D.Hilhorse,Y.Nishiura,M.Mimura: "A free boundary problem arising from some reactionーdiffusion system." to appear in Proc.Royal Soc.Edinburgh.

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.SHINOHARA: "On the quasiperiodic solutions to nonlinear quasiperiodic differential equations" Abstracts of ICHー90. 187. (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Yamada,F.Kikuchi: "A mixed finite element method for large deformation analysis of incompressible hyperelastic materials" Theo.Appl.Mech.39. 61-73 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Yamada,F.Kikuchi,A.Wada: "A 9ーnode mixed shell element based on the HuーWashizu principle" to appear in Comput.Mech.

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Kaminishi,T.Miyoshi,M.Taneda: "A consistent explicit scheme for dynamic plasticity problems" Proceedings of ICES Greece ‘91(to appear).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Miyoshi: "Semidiscrete systems in plasticity" Proceedings of Atenes Interdisciplinary Olympia‘91. (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] A.Matsumura,T.Nishida: "Periodic solutions in the half space for a oneーdimensional model of viscoーelasticity." RIMS Kyoto University. (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Okada and T.Nishida: "On the NeumannーRichtmyer method for the free boundary problem of a oneーdimensional motion of viscous gas." Nonlinear PDE,Japan Symposium,Kinokuniya/NorthーHolland. (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Suzuki: "Introduction to geometric potential theory" FunctionalーAnalytic Methods for Partial Differential Equations,Lecture Notes in Math Springer,Berlin et.al.1450. 88-103 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Suzuki,K.Nagasaki: "Radial and nonradial solutions for the nonlinear eigenvalue problem DELTA u + lambda e^u =OMICRON on annului in R^2" J.Differential Equations. 87. 144-168 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 藤田 宏,黒田 成俊,伊藤 清三: "関数解析" 岩波書店, 526 (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 藤田 宏,吉田 耕作: "現代解析入門" 岩波書店, 457 (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 森 正武: "FORTRAN77 図形処理プログラミング" 岩波書店, (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H. Imai, H. Kawarada: "A method for finding bifurcation points" Controland cybernetics. 19. (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] A. Sasamoto, H. Imai, H. Kawarada: "A practical method for an illconditioned optimal shape design of a vessel in which plasma is confined."

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H. Kawarada, H. Koshigoe: "The unsteady flow in the porous media with a free surface." Japan J. Ind. Appl. Math.8. 41-82 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H. Fujita, T. Suzuki: "Evolution Problems." Handbook of Numerical Analysis, Vol. II, Elsevier Science Pub.11. 791-928 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M. Iri: "Automatic differentiation and rounding error estimation--Overview and History." SIAM Workshop on "Automatic Differentiation of Algorithms, Theory, Implementation and Application, January 6-8 Breckenridge, Colorada, U. S. A. (1991)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K. Kishimoto, M. Iri: "A practical approach to the definition and measurement of "length"" Japan J. Appl. Matn.6. 179-207 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T. Yamamoto, X. Chen: "Ball-convergence theorems and error estimates for certain iterative methods for nonlinear equations." Japan J. Appl. Math. 7. 131-142 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T. Yamamoto, X. Chen: "An existence and nonexistence theorem for solutions of nonlinear systems and its application to algebraic equations." J. Comput. Appl. Matn.30. 87-97 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M. Mori: "Developments in the double exponential formulas for numerical integration." Proc. Intern. Cong. Matn., Kyoto, Springer-Verlag.

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S. Fujino, M. Mori, T. Takeuchi: "Performance of hyperplane ordering on vector computers." J. Comput. Appl. Math.

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y. Nishiura, M. Mimura, H. Ikeda, H. Fujii: "Singular limit analysis of stability of traveling wave solutions in bistable reaction--diffusion systems." SIAM J. Math. Appl.21. 85-122 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H. Fujii, Y. Nishiura, M. Mimura, R. Kobayashi: "Instability of planar traveling fronts in phase field model of solidifications." Proc. U. S. -Japan Seminar 1989.

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S. -I, Ei, M. Mimura: "Pattern formation in heterogeneous reaction-diffusion-advection systems with an application to population dynamics." Appl. Math. 21. 346-361 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y. Shinohara: "On the quasiperiodic solutions to nonlinear quasiperiodic differential equations." Abstracts of ICM-90. 187. (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T. Yamada, F. Kikuchi: "A mixed finite element method for large deformation analysis of incompressible hyperelastic materials." Theo. Appl. Mech.39. 61-73 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T. Yamada, F. Kikuchi, A. Wada: "A 9-node mixed shell element based on the Hu-Washizu principle." Comput. Mech.

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K. Kaminishi, T. Miyoshi, M. Taneda: "A consistent explicit scheme for dynamic plasticity problems." Proc. ICES Greece 1991.

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T. Miyoshi: "Semidiscrete systems in plasticity." Proc. Atenes Interdiscriplinary Olympia 1991.

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] A. Matsumura, T. Nishida: "Periodic solutions in the half space for a one-dimensional model of visco-elasticity." RIMS Kyoto University. (1991)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M. Okada, T. Nishida: "On the Neumann-Richtmyer method for the free boundary problem of a one-dimensional motion of viscous gas." Nonlinear PDE, Japan Symposium, Kinokuniya/North-Holland. (1991)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T. Suzuki: "Introduction to geometric potential theory." Functional-Analytic Methods for Partial Differential Equations, Lecture Notes in Math., Springer, Berlin et. al. 1450. 88-103 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T. Suzuki, K. Nagasaki: "Radial and nonradial solutions for the nonlinear eigenvalue problem DELTAu + lambdae^u = 0 on annului in R^2" J. Diff. Eq.87. 144-168 (1990)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1993-08-12  

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