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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)
西田 孝明  京都大学, 理学部, 教授 (70026110)
三好 哲彦  山口大学, 工学部, 教授 (60040101)
菊地 文雄  東京大学, 教養学部, 教授 (40013734)
篠原 能材  徳島大学, 工学部, 教授 (40035803)
牛島 照夫  電気通信大学, 電気通信学部, 教授 (10012410)
Project Period (FY) 1989 – 1990
Project Status Completed (Fiscal Year 1990)
Budget Amount *help
¥7,500,000 (Direct Cost: ¥7,500,000)
Fiscal Year 1990: ¥3,300,000 (Direct Cost: ¥3,300,000)
Fiscal Year 1989: ¥4,200,000 (Direct Cost: ¥4,200,000)
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.

Report

(3 results)
  • 1990 Annual Research Report   Final Research Report Summary
  • 1989 Annual Research Report
  • Research Products

    (131 results)

All Other

All Publications (131 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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [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
    • Related Report
      1990 Final Research Report Summary
  • [Publications] H.IMAI,H.KAWARADA: "A method for finding bifurcattion points" Control and cybernetics(to appear). 19(3). (1990)

    • Related Report
      1990 Annual Research Report
  • [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).

    • Related Report
      1990 Annual Research Report
  • [Publications] H.KAWARADA,H.KOSHIGOE: "The unsteady flow in the porous media with a free surface" J.J.Ind.Appl.Math. 8(1). 41-82 (1991)

    • Related Report
      1990 Annual Research Report
  • [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)

    • Related Report
      1990 Annual Research Report
  • [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)

    • Related Report
      1990 Annual Research Report
  • [Publications] 山口 昌哉,山田 道夫: "ウェ-ブレット解析" 科学(6月). 398-405 (1990)

    • Related Report
      1990 Annual Research Report
  • [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)

    • Related Report
      1990 Annual Research Report
  • [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)

    • Related Report
      1990 Annual Research Report
  • [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)

    • Related Report
      1990 Annual Research Report
  • [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)

    • Related Report
      1990 Annual Research Report
  • [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)

    • Related Report
      1990 Annual Research Report
  • [Publications] S.Fujino,M.Mori,T.Takeuchi: "Performance of hyperplane ordering on vector computers" submitted to J.Comput.Appl.Math.

    • Related Report
      1990 Annual Research Report
  • [Publications] 松木 美保子、牛島 照夫: "水の波偏差分方程式の固有値問題、自由境界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)

    • Related Report
      1990 Annual Research Report
  • [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)

    • Related Report
      1990 Annual Research Report
  • [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 Seminar 1989. (1989)

    • Related Report
      1990 Annual Research Report
  • [Publications] S.ーI.Ei and M.Mimura: "Pattern formation in heterogeneous reactionーdiffusionーadvection systems with an application to population dynamics" Appl.Math.21. 346-361 (1990)

    • Related Report
      1990 Annual Research Report
  • [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.

    • Related Report
      1990 Annual Research Report
  • [Publications] Y.SHINOHARA: "On the quasiperiodic solutions to nonlinear quasiperiodic differential equations" Abstracts of ICMー90. 187. (1990)

    • Related Report
      1990 Annual Research Report
  • [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)

    • Related Report
      1990 Annual Research Report
  • [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.

    • Related Report
      1990 Annual Research Report
  • [Publications] K.Kaminishi,T.Miyoshi,M.Taneda: "A consistent explicit scheme for dynamic plasticity problems" Proceedings of ICES Greece '91.

    • Related Report
      1990 Annual Research Report
  • [Publications] T.Miyoshi: "Semidiscrete systems in plasticity" Proceedings of Atenes Interdisciplinary Olympia '91. (1991)

    • Related Report
      1990 Annual Research Report
  • [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)

    • Related Report
      1990 Annual Research Report
  • [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)

    • Related Report
      1990 Annual Research Report
  • [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)

    • Related Report
      1990 Annual Research Report
  • [Publications] T.Suzuki,K.Nagasaki: "Radial and nonradial solutions for the nonlinear eigenvalue problem Δu+λe^u=Ο on annului in 〓^2" J.Differential Equations. 87. 144-168 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 藤田 宏,黒田 成俊,伊藤 清三: "関数解析" 岩波書店, 526 (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] 藤田 宏,吉田 耕作: "現代解析入門" 岩波書店, 457 (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] 森 正武: "FORTRAN77図形処理プログラミング" 岩波書店, (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] H.Kawarada,T.Sawaguri & H.Imai: "An Approximate Resolution of a Free Boundary Problem Appearing in the Equilibrium Plasma by Means of Conformal Mapping" Japan J.Appl.Math.6(3). 331-340 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] 一松信: "コンピュ-タと数学との関連-大学段階の実例を中心に" 数学セミナ-増刊(数学教育とコンピュ-タ). 144-148 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] Kokichi SUGIHARA and Masao IRI: "Two design principles of geometric algorithms in finiteprescision arithmetic." Applied Mathematics Letters.2. 203-206 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] Kazuo KISHIMOTO and Masao IRI: "A practical approach to the definition and measurement of "length"." Japan Journal Applied Mathematics.6. 179-207 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] Masao IRI: "Aspects of combinatorial approaches to circuits and systems." Proceedings of the 1989 International Conference on Circuits and Systems.1-4 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] 伊理正夫、久保田光一: "数値計算の基礎技術の最近の話題から-ノルム、丸め誤差、偏微分と高速自動微分法を中心として" 電子情報通信学会. 72. 1044-1052 (1989)

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  • [Publications] 伊理正夫: "正実関数と数値計算" 電子情報通信学会 技術研究報告. 89. 77-84 (1990)

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      1989 Annual Research Report
  • [Publications] T.Yamamoto: "Unified convergence analysis for a class of iterative methods for solving nonlinear equations" Topics in Mathematical Anlysis(Edited by T.M.Rassias) A Volume Dedicated to the Memory of A.L.Cauchy(World Sci.). 878-900 (1989)

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  • [Publications] X.Chen T.Yamamoto: "Convergence domains of certain iterative methods for solving nonlinear equations" Numer.Funct.Anal.and Optim. 10. 37-48 (1989)

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      1989 Annual Research Report
  • [Publications] T.Yamamoto X.Chen: "An existence and nonexistence theorem for solutions of nonlinear systens and its application to algebraic equations" J.of Comp.and Appl.Math.(1990)

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  • [Publications] T.Yamamoto X.Chen: "Ball-convergence theorems and error estimates for certain iterative methods for nonlinear equations" Japan J.Appl.Math.7. 131-143 (1990)

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  • [Publications] 山本哲朗,陳小君: "有限次元非線形方程式に対する保証付き数種計算" 情報処理. (1990)

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      1989 Annual Research Report
  • [Publications] Y.Yamamoto S.Takigawa: "Transient and large time behaviors of solutions of a size-space distribution model including chemotactic aggregation" Japan J.Appl.Math.6. 223-244 (1989)

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      1989 Annual Research Report
  • [Publications] M.Mori,M.Natori and Zhang Guo Feng: "A finite element analysis of a free surface drainage problem of two immiscible fluids" International Journal for Numerical Methods in Fluids. 9. 569-582 (1989)

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  • [Publications] M.Mori: "Visualization of the residual polynomials of the CG and the ICCG methods" Proceedings of the international Symposium on Numerical Analysis. 257-271 (1989)

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  • [Publications] H.Kanayama,T.Ushijima: "On the viscous shallow-water equations III,-a finite elemet scheme" Bulletin of the University of Electro-Communications. 2巻1号. 47-62 (1989)

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      1989 Annual Research Report
  • [Publications] 牛島照夫、松木美保子、青木篤: "水の波の線形問題について" 数理解析研究所講究録. 691. 97-125 (1989)

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      1989 Annual Research Report
  • [Publications] 牛島照夫、若松宏明: "水の波の線形固有値問題の境界要素計算" 数理解析研究所講究録. 703. 46-63 (1989)

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  • [Publications] 松木美保子、牛島照夫、: "水の波偏差分方程式の固有問題" 数理解析研究所講究録「自由境界問題とその周辺」. 1. (1990)

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  • [Publications] 大森克史、牛島照夫: "ラックス・ヴェンドルフ型有限要素スキ-ムの数学解析" 第3回計算力学シンポジウム報文集. 105-110 (1989)

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  • [Publications] 名古屋靖一郎、牛島照夫: "空間一次元移流拡散スキ-ムの安定性解析" 第3回数値流体力学シンポジウム講演論文集. 243-246 (1989)

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  • [Publications] Y.Nishiura,M.Mimura,H.Ikeda & H.Fujii: "Singular limit analysis of stability of traveling wave solutions in bistable reaction-diffusion systems(to appear)" SIAM J.Math Anal.

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  • [Publications] H.Fujii,Y.Nishiura & M.Miura: "Bifurcations of raveling waves"

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      1989 Annual Research Report
  • [Publications] H.Fujii,& M.Mimura: "Hopf bifurcations of traveling waves"

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  • [Publications] Y.Nishiura & H.Fujii: "Instability of plangr fronts in reaction-diffusion systems"

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      1989 Annual Research Report
  • [Publications] H.Fujii: "Instability of traveling fronts in phase field model of solidification"

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  • [Publications] A.KOHDA and Y.SHINOHARA: "On uniform limit of quasiperiodic functions" J.Math.Tokushima Univ.23. 39-40 (1989)

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  • [Publications] Y.SHINOHARA: "On numerically integrable solutions of ordinary differential equations" J.Math.Tokushima Univ.23. 41-44 (1989)

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  • [Publications] Y.Nishiura,M.Mimura: "Layer oscillations in reaction-diffusion systems" SIAM Journal on Applied Mathematics. 49. 481-514 (1989)

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  • [Publications] H.Ikeda,M.Mimura: "Wave blocking phenomena in bistable reaction-diffusion systems" SIAM Journal on applied Mathematics. 49. 515-539 (1989)

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  • [Publications] Y.Hosono,M.Mimura: "Localized cluster solutions of nonlinear degenerate diffusion equations arising in population dynamics" SIAM Jornal on Mathematical Analysis. 20. 845-869 (1989)

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  • [Publications] T.Ohta,M.Mimura & R.Kobayashi: "Higher dimensional localized patterns in excitable media" Physica D. 34. 115-144 (1989)

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  • [Publications] S.Ei,M.Mimura: "Pattern formation in heterogeneous reaction-diffusion advection systems with an application to population dynamics" SIAM Journal on Mathematical Analysis(to appear). (1990)

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  • [Publications] F.Kikuchi: "Weak formulations for finite element analysis of an electromagnetic eigenvalue problem" Scientific Papers of the college of Arts and Sciences,The University of Tokyo. 38. 43-67 (1989)

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  • [Publications] F.Kikuchi: "Mixed formulations for finite element analysis of magnetostatic and electrostatic problems" Japan Journal of Applied Mathematics. 6. 209-221 (1989)

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  • [Publications] F.Kikuchi: "On a discrete compactness property for the Nedelec finite elements" Journal of the Faculty of Science,The University of Tokyo,Sec.IA. 36. 479-490 (1989)

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  • [Publications] T.Yamada,A.Wada,F.Kikuchi: "A 9-node mixed shell element based on the Hu-Washizu principle" Theoretical and Applied Mechanics. 38. 81-91 (1990)

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  • [Publications] 三好哲彦、藤本新平: "亀裂進展の数値計算について" 応用数学合同シンポジウム研究報告集. 46-51 (1989)

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  • [Publications] T.Nishida,A.Matsumura: "Exterior stationary problem for the equations of motion of compressible,viscous and heat-conductive fluids" Differential Equations,Lecture Notes in Pure and Appl.Math.,ed.by Dafermis,Marcel Dekher Inc.118. 473-479 (1989)

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  • [Publications] T.Nishida,A.Matsumura: "Periodic solutions of a viscous gas equation" Recent Topics in Nonlinear PDE IV ed.by Mimura & Nishida,Kinokuniya/North Holland. 160. 49-82 (1989)

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  • [Publications] K.Narukawa,T.Suzuki: "Nonlinear eigenvalue problem associated to capillary surfaces" Boll.U.M.I.

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  • [Publications] K.Nagasaki,T.Suzuki: "Radial and nonradial solutions for the nonlinear eigenvalue problem △u+λe^u=0 on annuli in R^2" J.Differential Equations.

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  • [Publications] K.Nagasaki,T.Suzuki: "Asymptotic analysis for two-dimensional elliptic eigenvalue problems with exponentially-dominated nonlinearities" Asymptotic Analysis.

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  • [Publications] K.Nagasaki,T.Suzuki: "Nonlinear eigenvalue problem△u+λe^u=0 on simply connected domains in R^2" Proc.Japan Acad.Ser.A. 65. 1-3 (1989)

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  • [Publications] K.Nagasaki,T.Suzuki: "Asymptotic behavior of the solution for an elliptic boundary value problem with exponential nonlinearity" Proc.Japan Acad.Ser.A. 65. 74-76 (1989)

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  • [Publications] 河原田秀夫: "自由境界問題" 東大出版会, 131 (1989)

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  • [Publications] 一松信: "√<2>の数学" 海鳴社, 116 (1990)

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  • [Publications] 一松信: "微分積分学入門第一課" 近代科学社, 184 (1989)

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  • [Publications] Masao IRI and Kunio TANABE(編): "Mathematical Programming---Recent Developments and Applications." Kluwer Academic Publishers., Viii+382 (1989)

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  • [Publications] 小野寺嘉孝、森正武他: "Fortran77による数値計算ソフトウエア" 丸善株式会社, 325 (1989)

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  • [Publications] H.Fujita T.Suzuki: "Lectures on Finite Element Method for Evolution problems(to appear)" Elserier(P.G.Ciarlet & J.L.Lions.eds.),

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Published: 1989-04-01   Modified: 2016-04-21  

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