Introduction of researcher

Revision    1
As of  2008.4.15      
 
[Name]  Hayami Ken
[Doctoral degrees] 
1991 Ph.D. (Wessex Institute of Technology, CNAA, U.K.)
1993 Ph.D. (Engineering)
(The University of Tokyo)
[Affiliation / Position] 
Professor, Principles of Informatics Research Division
Professor, Department of Informatics, School of Multidiscplinary Sciences, The Graduate University for Advanced Studies (Sokendai)
[Room]  1303
[Telephone]  none
[Facsimile]  +81-3-3556-1916
[E-mail]  hayami AT nii.ac.jp
[Personal home page]  http://research.nii.ac.jp/~hayami/index-e.html
[JST ReaD]  http://read.jst.go.jp/public/cs_ksh_012EventAction.do?action4=event&lang_act4=E&judge_act4=2&code_act4=1000201876
[Research fields] 
Numerical Analysis, Mathematical Engineering


<> Outline of current research
<> Education
<> Career
<> Awards
<> Teaching positions
<> Courses
<> Students
<> Academic societies
<> Public activities
<> Most important publications (Top 10)
<> Most important activities (Top 10)
<> Refereed publications, published books
<> Patents / softwares / other works
<> Other publications
<> Speeches and oral presentations
<> Teaching experience
<> Other activities in the past
<> Competitive research funds


[Outline of current research] 

The design and analysis of numerical algorithms. Current interest in numerical linear algebra (development and analysis of GMRES methods for least-squareｓ problems, analysis of Krylov subspace iterative methods on singular systems of linear equations), solution of systems of algebraic equations arising in inverese problems.
[Education] 

1979 Bachelor of Engineering, Department of Mathematical Engineering and Instrumentation Physics, Faculty of Engineering, The University of Tokyo

1981 Master of Engineering, Department of Mathematical Engineering and Instrumentation Physics, Graduate School of Engineering, The University of Tokyo

1991 Ph.D., Wessex Institute of Technology, Council for National Academic Awards, U.K.

1993 Doctor of Engineering, The University of Tokyo
[Career] 

1981-1993 Research Laboratories, NEC Corporation

1986-1988 Visiting Researcher, Wessex Institute of Technology, U.K.

1991-1993 Research Manager, C&C Information Technology Research Laboratories, NEC Corporation

1993-2000 Associate Professor, Department of Mathematical Engineering and Information Physics, Faculty of Engineering, The University of Tokyo

1995-2000 Associate Professor, Department of Mathematical Engineering and Information Physics, Graduate School of Engineering, The University of Tokyo

1997-1998 Visiting Associate Professor, Department of Mathematics, Kiel University, Germany

2001-2006 Professor, Mathematical Informatics, Foundations of Informatics Research Division, National Institute of Informatics

2002-2004 Professor, Department of Informatics, School of Mathematical and Physical Science, The Graduate University for Advanced Studies

2004- Professor, Department of Informatics, School of Multidisciplinary Sciences, The Graduate University for Advanced Studies

2005-2006 Deputy Head, Department of Informatics, School of Multidisciplinary Sciences, The Graduate University for Advanced Studies

2006-2008 Head, Department of Informatics, School of Multidisciplinary Sciences, The Graduate University for Advanced Studies

2006- Professor, Principles of Informatics Research Division, National Institute of Informatics
[Awards] 

1986 NEC Corporation, Research and Development Group, Award for Distinction, First Class

1989 NEC Corporation, Information Processing Business Group, Award for Distinction, Second Class

1990 NEC Corporation, Research and Development Group, Award for Distinction, First Class (Uenohara Prize)
[Teaching positions] 

1993-2000 Associate Professor, Department of Mathematical Engineering and Information Physics, Faculty of Engineering, The University of Tokyo

1995-2000 Associate Professor, Department of Mathematical Engineering and Information Physics, Graduate School of Engineering, The University of Tokyo

2001-2002 Part-time Lecturer, Department of Mathematical Engineering and Information Physics, Faculty of Engineering, The University of Tokyo

2001-2002 Part-time Lecturer, research supervison, Department of Mathematical Engineering and Information Physics, Graduate School of Engineering, The University of Tokyo

2001- Part-time Lecturer, research supervison, Department of Mathematical Informatics, Graduate School of Information Technology Science, The University of Tokyo

2002-2004 Professor, Department of Informatics, School of Mathematical and Physical Science, The Graduate University for Advanced Studies

2004- Professor, Department of Informatics, School of Multidisciplinary Sciences, The Graduate University for Advanced Studies
[Courses] 

Theory of Numerical Methods (winter term, biennial)

Foundations of Informatics II(winter term, omnibus)

Presentation in English II (winter term, omnibus)　

Presentation in English I (summer term, omnibus)　

[Students] 

Cui Xiaoke (D4/5, main supervisor, advisor)

Keiichi Morikuni (D1/5, 主指導教員, アドバイザー)

[Academic societies] 

Infomation Processing Society of Japan

Japan Society for Simulation Technology

ISBE(International Society for Boundary Elements)(1988-1999)

JASCOME(Japan Society for Computational Methods in Engineering)

COMPUMAG1989(Local Organization Committee)

SIAM(Society for Industrial and Applied Mathematics)(1989-)

JSIAM(Japan Society for Industrial and Applied Mathematics)

Editorial Board of the Bulletin of the JSIAM(1993-1996)

Member of the Steering Committee of JASCOME(1993-2004)

Japan Society for Computational Engineering and Sciences

Member of the Board, International Council for Industrial and Applied Mathematics(ICIAM)(1995-2003)

Interational Conference on Boundary Elements& BETECH(International Scientific Advisory Committee: 1997-2003)

International Symposium on Inverse Problems in Engineering Mechanics (ISIP, Local Organizing Committee 1998, 2000, 2001, 2003)

Editorial Board of the Transactions of the JSIAM(1998-2003, 2008-)

Member of the Board of Directors of the JSIAM(2002-)

Mathematical Society of Japan(2006-)
[Public activities] 

共立出版 工系数学講座 編集委員(1995-)

国家公務員採用I種試験（数学）試験専門委員（1998-2000）

日本学術会議 数学研究連絡委員会(第19期) 委員 (平成15-16年度)
[Most important publications (Top 10)] 

  1. Hayami, K., A Projection Transformation Method for Nearly Singular Surface Boundary Element Integrals, Lecture Notes in Engineering,　Vol. 73,　Springer Verlag, (456 pages),　1992.

  2. Hayami, K., On the convergence of the conjugate residual method for singular systems, Transactions of the Japan Society for Industrial and Applied Mathematics, Vol. 13, No. 1, pp. 1-33, 2003, ( in Japanese ).

  3. Hayami, K. and Ito, T., The solution of least squares problems using GMRES methods, Proceedings of the Institute of Statistical Mathematics, Vol. 53, No. 2, pp. 331-348, 2005, (in Japanese).

  4. Hayami, K. and Harada, N., On the effectiveness of the diagonally scaled conjugate gradient algorithm on vector computers, Transactions of the Information Processing Society of Japan, Vol.30, No.11, pp.1364-1375, 1989 (in Japanese).

  5. Hayami, K. and Matsumoto, H., A numerical quadrature for nearly singular boundary element integrals, Engineering Analysis with Boundary Elements,　Vol. 13,　pp.143-154,　1994.

  6. Hayami, K., Variable transformations for nearly singular integrals in the boundary element method, Publications of Research Institute for Mathematical Sciences, Kyoto University, Vol. 41, pp. 821-842, 2005.

  7. Hayami, K. and Matsumoto, H., Improvement of quadrature for nearly singular integrals in 3D-BEM, in C.A. Brebbia ed.,　Boundary Elements XVI,　Proc. 16th Int. Boundary Element Method Conference,　Southampton,　Computational Mechanics Publications,　pp. 201-210, 1994.

  8. Hayami, K. and Sauter, S.A., Cost estimation of the panel clustering method applied to 3-D elastostatics, in C.A. Brebbia　ed.,　Boundary Element Research in Europe, Proc. 2nd European Boundary Element Method Symp. (EUROBEM II), Southampton, Computational Mechanics Publications, pp. 33-42, 1998.

  9. Hayami, K. and Sauter, S.A., A panel clustering method for 3-D elastostatics using spherical harmonics, in B. Bertram, C. Constanda and A. Struthers eds.,　Integral Methods in Science and Engineering, Proc. Int. Conf. on Integral Methods in Science and Engineering (IMSE98), Research Notes in Mathematics, Vol. 418, Chapman & Hall / CRC,　London,　pp. 179-184, 2000.

  10. Hayami, K., On the behaviour of the conjugate residual method for singular systems, (Invited talk), Proceedings of Fifth China-Japan Seminar on Numerical Mathematics, Shanghai, 2000, Science Press, Beijing/New York, pp. 117-126, 2002.
[Most important activities (Top 10)] 

  1. 1993-2001 Department of Mathematical Engineering and Information Physics, Faculty of Engineering, The University of Tokyo, Supervision of Bachelor 12 theses, Lecture: Geometrical Mathematical Engineering (Vector and Tensor Analysis, Differential Geometry), Analytical Mathematical Engineering ( Functional Analysis, Measure Theory ), Fundamentals of Mathematical Engineering ( Analysis ), Exercises in Mathematical Engineering, etc.

  2. 1993-2002 Department of Mathematical Engineering and Information Physics, Graduate School of Engineering, The University of Tokyo, Supervision of 14 Master Course students, 1 Ph.D. student, Lecture: Topics in Numerical Analysis (Boundary Element Method, Finite Element Method, Iterative Solvers for Systems of Linear Equations), Mathematics of Approximations I, II, etc.

  3. 2002- Department of Informatics, School of Mathematical and Physical Science (2004- School of Multidisciplinary Sciences), The Graduate University for Advanced Studies (Sokendai), Supervision of 2 Ph.D. students, Lectures: Introduction to Foundations and Infrastructure of Informatics (omnibus, 2002: Finite Difference and Finite Element Methods, 2004: Linear Algebra), Mathematical Informatics (2002: Iterative Solvers for Systems of Linear Equations, 2004: Least Squares Problems), Introduction to Foundations of Informatics I (omnibus, 2006: Linear Algebra), Theory of Numerical Methods (2006: Krylov Subspace Methods for the Iterative Solution of Systems of Linear Equations), Presentation in English II (omnibus, 2006).

  4. 1986, 1989-1993年： 日本電気株式会社にてスーパーコンピュータ用数学ライブラリーを開発（連立一次方程式の反復解法, 数値積分法）

  5. 1986, 1989-1993: Development of Mathematical Library for NEC Supercomputer (Iterative solvers for systems of linear equations, numerical integration).

  6. 1981-1984： 日本電気株式会社にてLSIの配線収容性予測の研究開発

  7. 1981-1984： Research and development on the prediction of the routability of LSI at NEC Corporation.

  8. 1991-1993： 日本電気株式会社にて大規模数値シミュレーション技術の研究開発の統括

  9. 1991-1993： Management of research and development of large scale numerical simulation at NEC Corporation.
[Refereed publications, published books] 

  1. Hayami, K. and Oshima, N., An analysis of the plastic behavior of polycrystals, Theoretical and Applied Mechanics, Vol. 30, University of Tokyo Press, pp. 35-44, 1981.

  2. Hayami, K.. and Harada, N., The scaled conjugate gradient method and vector processors, Proc. 1st Int. Conf. on Supercomputing Systems,　St. Petersburg, Florida, IEEE Computer Society,　pp. 213-221,　1985.

  3. Hayami, K. and Brebbia, C.A., A new coordinate transformation method for singular and nearly singular integrals over general　curved boundary elements, in C.A.Brebbia, W.L. Wendland and G. Kuhn eds.,　Boundary Elements IX,　Proc. 9th Int. Conf. on Boundary Elements, Stuttgart,　Computational Mechanics Publication with Springer-Verlag,　Vol. 1,　pp. 375-397,　1987.

  4. Hayami, K. and Brebbia, C.A., Quadrature methods for singular and nearly singular integrals in 3-D boundary element method, (Invited Paper), in C.A. Brebbia ed.,　Boundary Elements X, Proc. 10th Int. Conf. on Boundary Elements,　Southampton,　Computational Mechanics Publication with Springer-Verlag, Vol. 1, pp. 237-264, 1988.

  5. Hayami, K., On quadrature for singular and nearly singular integrals the three-dimensional boundary element method, Kokyuroku 676, Fundamental Theory of Numerical Analysis and Its Vicinity, Research Institute for Mathematical Sciences, Kyoto University, December, 1988, pp. 284-306, 1988, (in Japanese).

  6. Hayami, K. and Harada, N., On the effectiveness of the diagonally scaled conjugate gradient algorithm on vector computers, Transactions of the Information Processing Society of Japan, Vol.30, No.11, pp.1364-1375, 1989 (in Japanese).

  7. Hayami, K.., Improvement and error analysis of the high precision numerical integration method: PART, Proc. 6th Japan National Symp. on Boundary Element Methods, Japan Soc. for Comp. Meth. in Engineering (JASCOME), December, 1989, pp. 37-42, (in Japanese).

  8. Akiba, Y. and Hayami, K.., A grid generation technique using boundary element method, Proc. 6th Japan National Symp. on Boundary Element Methods, JASCOME, December, 1989, pp. 97-100, (in Japanese).

  9. Hayami, K., High precision numerical integration methods for 3-D boundary element analysis, IEEE Transactions on Magnetics,　Vol. 26,　No. 2,　pp. 603-606,　1990.

  10. Saitoh, S. and Hayami, K.., Multiprocessing of a mesoscale model, in G.R. Hoffmann and D.K. Maretis eds., The Dawn of Massively Parallel Processing in Meteorology,　Proc. 3rd Workshop on Use of Parallel Processors in Meteorology, Reading, Springer-Verlag, pp. 124-139, 1990.

  11. Hayami, K.., A robust numerical integration method for three-dimensional boundary element analysis, in M. Tanaka, C.A. Brebbia and T. Honma eds.,　Boundary Elements XII,　Proc. 12th Int. Conf. on Boundary　Elements,　Sapporo,　Computational Mechanics Publications with Springer-Verlag,　Vol. 1,　pp. 33-51,　1990.

  12. Hayami, K., High precision quadrature for the boundary element method and its error analysis, Kokyuroku 744, Numerical Analysis of the Free Boundary Problems and Related Topics 2, Research Institute for Mathematical Sciences, Kyoto University, February, 1991, pp. 188-206, 1991 (in Japanese).

  13. Hayami, K., A Projection Transformation Method for Nearly Singular Surface Boundary Element Integrals, Thesis Submitted for the Degree of Doctor of Philosophy of the Council for National Academic Awards, Computational Mechanics Institute, Wessex Institute of Technology, Southampton, U.K., (Supervisor: Professor Carlos A. Brebbia), April, 1991.

  14. Hayami, K.., High Precision Numerical Integration Method for 3-D BEM and its Error Analysis using Complex Function Theory, in C.A. Brebbia ed.,　Boundary Element Technology VI,　Proc. 6th Int. Conf. on Boundary Element Technology, Southampton, U.K., Computational Mechanics Publications with Springer-Verlag,　pp.335-338, 1991.

  15. Hayami, K., A Projection Transformation Method for Nearly Singular Surface Boundary Element Integrals, Lecture Notes in Engineering,　Vol. 73,　Springer Verlag, (456 pages),　1992.

  16. Hayami, K., A robust numerical integration method for 3-D boundary element analysis and its error analysis　 using complex function theory, in T.O. Espelid and A. Genz eds.,　Numerical Integration, Proc. NATO Advanced Research Workshop on Numerical Integration, Bergen, 1991, Kluwer Academic Publishers, pp. 235-248, 1992.

  17. Abe, H. and Hayami, K., A new numerical method for transient electromagnetic problems - Transient Green Method-, Transactions of the Information Processing Society of Japan, Vol. 33, No. 8, pp. 1006-1012, 1992. (in Japanese).

  18. Hayami, K.,　Matsumoto, H.　and　Moroga, K., Improvement and implementation of PART: Numerical quadrature for nearly singular boundary　 element integrals, in C.A. Brebbia, J. Dominguez and F. Paris eds.,　Boundary Elements XIV, Proc. 14th Int. Conf. on Boundary Element Methods, Seville, Computational Mechanics Publications with Elsevier Science Publishers, Vol. 1, pp. 605-617, 1992.

  19. Hayami, K., Numerical Quadrature for Nearly Singular Integrals in the Three Dimensional Boundary Element Method, Thesis Submitted for the Degree of Doctor of Philosophy of The University of Tokyo, (Supervisor: Professor Masao Iri,) October 1992.

  20. Hayami, K. and Matsumoto, H., Improvement of the high precision numerical integration method for nearly singular integrals, Proc. 10th Japan National Symp. on Boundary Element Methods, JASCOME, December, 1993, pp. 165-169, (in Japanese).

  21. Hayami, K. and Matsumoto, H., A numerical quadrature for nearly singular boundary element integrals, Engineering Analysis with Boundary Elements,　Vol. 13,　pp.143-154,　1994.

  22. Washio, T. and Hayami, K., Parallel block preconditioning based on SSOR and MILU, Numerical Linear Algebra and its Applications,　Vol. 1(6),　pp. 533-553,　1994.

  23. Kunihiro, N., Hayami, K. and Sugihara, M., Automatic numerical integration using variable transformation and its error analysis, Proc. 4th BEM Technology Conf. (BTEC94), JASCOME, June, 1994, pp. 33-38, (in Japanese).

  24. Watanabe, O. and Hayami, K., A fast solver for the boundary element method using multipole expansion, Proc. 4th BEM Technology Conf. (BTEC94), JASCOME, June, 1994, pp. 39-44, 1994, (in Japanese).

  25. Hayami, K. and Matsumoto, H., Improvement of quadrature for nearly singular integrals in 3D-BEM, in C.A. Brebbia ed.,　Boundary Elements XVI,　Proc. 16th Int. Boundary Element Method Conference,　Southampton,　Computational Mechanics Publications,　pp. 201-210, 1994.

  26. Yamada, Y. and Hayami, K., Application of the clustering method to the two dimensional elastostatic problem, Proc. 11th Japan National Symp. on Boundary Element Methods, JASCOME, December, 1994, pp. 31-36, (in Japanese).

  27. Washio, T. and Hayami, K., Overlapped multicolor MILU preconditioning, SIAM J. Sci. Comp.,　Vol. 16,　No. 3,　pp. 636-650,　1995.

  28. Kunihiro, N.,　Hayami, K. and Sugihara, M., Automatic numerical integration of nearly singular boundary element integrals, in T. Ushijima, Z. Shi and T. Kako eds., Advances in Numerical Mathematics, Proc. 2nd Japan-China Seminar on Numerical Mathematics,　Tokyo,　1994,　Lecture Notes in Numerical and Applied Analysis, Vol. 14,　pp. 249-252, 1995.

  29. Kunihiro, N., Hayami, K. and Sugihara, M., Automatic numerical integration for the boundary element method using variable transformation and its error analysis, Trans. Japan Soc. for Industrial and Applied Mathematics, Vol. 5, No. 1, pp. 101-119, 1995, (in Japanese).

  30. Yamada, Y. and Hayami, K., A multipole method for two dimensional elastostatics, Proc. 5th BEM Tech. Conf. (BTEC95), JASCOME, June, 1995, pp. 59-64, (in Japanese).

  31. Kunihiro, N. Hayami, K. and Sugihara, M., Automatic numerical integration of nearly singular integrals in the boundary element method, S.N. Atluri, G. Yagawa and T.A. Cruse eds.,　Computational Mechanics '95, Proc. Int. Conf. on Computational Engineering Science,　Hawaii,　Springer-Verlag, Vol. 2,　pp. 2841-2846, 1995.

  32. Yamada, Y. and Hayami, K., A multipole boundary element method for two-dimensional elastostatics, in W. Hackbusch and G. Wittum eds.,　Boundary Elements: Implementation and Analysis of Advanced Algorithms,　Proc. 12th GAMM-Seminar Kiel, Notes in Numerical Fluid Mechanics, Vol. 54,　Vieweg,　pp. 255-267, 1996.

  33. Hayami, K. and Sauter, S. A., A formulation for the panel clustering method for the three-dimensional elastostatic problem, Proc. 13th Japan National Symp. on Boundary Element Methods, December, 1996, pp. 125-130, 1996.

  34. Kobayashi, N. and Hayami, K., Application of the boundary element method and the method of nonlinear optimization to the problem of estimating the location of a current dipole in the brain, Proc. 13th Japan National Symp. on Boundary Element Methods, JASCOME, December, 1996, pp. 157-162, (in Japanese).

  35. Kobayashi, N. and Hayami, K., Identification of a current dipole in the brain using BEM and nonlinear optimization, in M. Marchetti, C.A. Brebbia and M.H. Aliabadi eds., Boundary Elements XIX,　Proc. 19th Int. Conf. on the Boundary Element Method, Computational Mechanics Publications, pp. 379-388, 1997.

  36. Nishida, N. and Hayami, K., Application of the fast multipole method to the 3-D BEM analysis of electron guns, in M. Marchetti, C.A. Brebbia and M.H. Aliabadi eds., Boundary Elements XIX,　Proc. 19th Int. Conf. on the Boundary Element Method, Computational Mechanics Publications, pp. 613-622, 1997.

  37. Hayami, K. and Sauter, S.A., Application of the panel clustering method to the three-dimensional elastostatic problem, in M. Marchetti, C.A. Brebbia and M.H. Aliabadi eds.,　Boundary Elements XIX, Proc. 19th Int. Conf. on the Boundary Element Method, Computational Mechanics Publications, pp. 625-634, 1997.

  38. Hayami, K., Improvement of a method for identifying a current dipole in the brain using BEM and nonlinear　 optimization, in M. Tanaka and G.S. Dulikravich eds., Inverse Problems in Engineering Mechanics, Proc. Int. Symp. on Inverse Problems in Engineering Mechanics,　Elsevier,　pp. 449-458, 1998.

  39. Hayami, K. and Sauter, S.A., Cost estimation of the panel clustering method applied to 3-D elastostatics, in C.A. Brebbia　ed.,　Boundary Element Research in Europe, Proc. 2nd European Boundary Element Method Symp. (EUROBEM II), Southampton, Computational Mechanics Publications, pp. 33-42, 1998.

  40. Hayami, K. and Sauter, S. A., A panel clustering method for 3-D elastostatics using spherical harmonics, Proc. 8th BEM Technology Conference (BTEC98), July, 1998, pp. 27-32.

  41. Nishida, T. and Hayami, K., Application of the fast multipole method to the 3-D BEM analysis of electron guns, Proc. 8th BEM Technology Conference (BTEC98), July, 1998, pp.33-38, (in Japanese).

  42. Hayami, K. and Sauter, S.A., Panel clustering for 3-D elastostatics using spherical harmonics, in A. Kassab, C.A. Brebbia and M. Chopra eds.,　Boundary Elements XX, Proc. 20th Int. Conf. on the Boundary Element Method,　Orlando, Computational Mechanics Publications, pp. 289-298, 1998.

  43. Nakajima, M., Terao, J., Watanabe, S., Ando, S. and Hayami,K., Identification of traction based on displacement observations at interior points in an elastic body, Proc. 16th Japan National Symp. on Boundary Element Methods, December, 1999, pp. 103-108, 1999, (in Japanese).

  44. Hayami, K. and Sauter, S.A., A panel clustering method for 3-D elastostatics using spherical harmonics, in B. Bertram, C. Constanda and A. Struthers eds.,　Integral Methods in Science and Engineering, Proc. Int. Conf. on Integral Methods in Science and Engineering (IMSE98), Research Notes in Mathematics, Vol. 418, Chapman & Hall / CRC,　London,　pp. 179-184, 2000.

  45. Nakajima, M., Hayami, K., Terao, J., Watanabe, S., and Ando, S., Identification of tractions based on displacement observations at interior points, in M. Tanaka and G.S. Dulikravich eds.,　Inverse Problems in Engineering Mechanics II, Proc. Int. Symp. on Inverse Problems in Engineering Mechanics 2000 (ISIP 2000),　Nagano, Elsevier,　Amsterdam,　pp. 119-128, 2000.

  46. Hamano, K., Murshige, S. and Hayami, K., The analysis of standing waves of free surfaces using the boundary element method, Proc. 10th BEM Technology Conference (BTEC2000), July, 2000, pp.43-48, (in Japanese).

  47. Hamano, K., Murashige, S. and Hayami, K., The direct simulation of large amplitude standing waves using the boundary element method, Proc. 17th Japan National Symp. on Boundary Element Methods, December, 2000, pp. 91-96, (in Japanese).

  48. Hayami, K., On the behaviour of the conjugate residual method for singular systems, (Invited talk), Proceedings of Fifth China-Japan Seminar on Numerical Mathematics, Shanghai, 2000, Science Press, Beijing/New York, pp. 117-126, 2002.

  49. Hayami, K., On the convergence of the GCR(k) method for singular systems (Invited talk), Kokyuroku 1265, Discretization Methods and Numerical Algorithms for Differential Equations, Research Institute for Mathematical Sciences, Kyoto University, May, 2002, pp.129-139, (in Japanese).

  50. Hayami, K., The mathematics of iterative solvers, Special Issue: The Horizon of Mathematical Engineering, Mathematical Science, December, 2002, pp. 36-42, (in Japanese).

  51. Hayami, K., On the convergence of the conjugate residual method for singular systems, Transactions of the Japan Society for Industrial and Applied Mathematics, Vol. 13, No. 1, pp. 1-33, 2003, ( in Japanese ).

  52. Hamano, K., Murashige, S. and Hayami, K., Boundary element simulation of large amplitude standing waves in vessels, Engineering Analysis with Boundary Elements, Vol. 27, Issue 6, pp. 565-574, 2003.

  53. Hayami, K., Variable transformations for nearly singular integrals in the boundary element method, Publications of Research Institute for Mathematical Sciences, Kyoto University, Vol. 41, pp. 821-842, 2005.

  54. Hayami, K. and Ito, T., The solution of least squares problems using GMRES methods, Proceedings of the Institute of Statistical Mathematics, Vol. 53, No. 2, pp. 331-348, 2005, (in Japanese).

  55. Hayami, K. and Ito, T., Solution of least squares problems by preconditioned GMRES methods, Kokyuroku 1441, New Developments of Numerical Analysis in the 21st Century, Research Institute for Mathematical Sciences, Kyoto University, July, 2005, pp.114-128, (in Japanese).

  56. Hayami, K. and Ito, T., Application of the GMRES method to singular systems and least squares problems, (Invited paper), in Z.-C. Shi and H. Okamoto eds., Proceedings of the Seventh China-Japan Seminar on Numerical Mathematics, Zhangjiajie, 2004, Science Press, Beijing, pp. 33-44, 2006.

  57. Hayami, K. and Ito, T., Convergence Analysis of GMRES Methods for Least Squares Problems, (Invited paper), in Y. Kaneda, H. Kawamura and M. Sasai eds., Frontiers of Computational Science, Proceedings of the International Symposium on Frontiers of Computational Science 2005 (FCS2005), Nagoya, Japan, Dec. 12-13, 2005, Springer-Verlag, pp. 181-187, 2007. 　

  58. Ishii, M. and Hayami, K., The numerical solution of systems of algebraic equations arising in a magnetoencephalography inverse problem, Transactions of the Japan Society for Industrial and Applied Mathematics, Vol. 16, No. 3, pp. 135-147, 2006, (in Japanese).

[Patents / softwares / other works] 

  1. Patent：Device for the iterative solution of systems of linear equations, (Application No. 61-241628, Japan), 1986.

  2. Patent：Numerical integration device (Application No. 1-019049, Japan), 1989.

  3. 8 other applications for Japanese patents during 1983-1992.
[Other publications] 

  1. Hayami, K. and Harada, N., The scaled conjugate gradient method and supercomputers, in T.Natori and T.Nodera eds.,　Advances in Numerical　Methods for Large Sparse Sets of Linear Equations,　No.2, pp. 40-49, Keio Univ., Japan, 1986.

  2. Washio, T. and Hayami, K., Parallel block preconditioning, in M. Natori and T. Nodera eds.,　Advances in Numerical Methods for Large Sparse Sets of Linear Equations,　No. 9,　Parallel Processing for Scientific Computing,　Keio University,　pp. 48-55, 1993.

  3. Kunihiro, N., Hayami, K. and Sugihara, M., Automatic numerical integration of nearly singular boundary element integrals, Proc. 2nd Japan-China Joint Seminar on Numerical Mathematics, August, 1994, Tokyo, pp. 42-46, 1994.

  4. Yamada, Y. and Hayami, K., A multipole boundary element method for two-dimensional elastostatics, Technical Reports,　Department of Mathematical Engineering,　University of Tokyo, METR 95-07,　pp. 1-20, August, 1995.

  5. Hayami, K., In search of an optimum variable transformation for nearly singular integrals in BEM, 12th GAMM-Seminar Kiel on Boundary Elements: Implementation and Analysis of Advanced Algorithms, January, 1996, Kiel, Germany, Collection of Abstracts, pp. 10-11, 1996.

  6. Yamada, Y. and Hayami, K., A multipole boundary element method for two-dimensional elastostatics, 12th GAMM-Seminar Kiel on Boundary Elements: Implementation and Analysis of Advanced Algorithms, January, 1996, Kiel, Germany, Collection of Abstracts,　pp. 11-12, 1996.

  7. Hayami, K. and Sauter, S. A., A formulation for the panel clustering method for three-dimensional elastostatics, Proc. Annual Meeting of the Japan Society for Industrial and Applied Mathematics, September, 1996, pp. 218-219.

  8. Nishida, N. and Hayami, K., Application of the fast multipole method to the 3-D BEM analysis of electron guns, IMA Conference on Boundary Integral Methods: Theory and Applications, September, 1997, Salford, U.K., 1 p.

  9. Hayami, K. and Sauter, S.A., Application of the panel clustering method to the three-dimensional elastostatic problem, IMA Conference on Boundary Integral Methods: Theory and Applications, September, 1997, Salford, U.K., 1 p.

  10. Kobayashi, N. and Hayami, K., Identification of a current dipole in the brain using BEM and nonlinear optimization, IMA Conference on Boundary Integral Methods: Theory and Applications, September, 1997, Salford, U.K., 1 p.

  11. Hayami, K., Improvement of a method for identifying acurrent dipole in the brain using BEM and nonlinear optimization, ISIP'98 International Symposium on Inverse Problems in Engineering Mechanics 1998, March, 1998, Nagano, Abstracts,　pp. 261-266, 1998.

  12. Hayami, K. and Sauter, S.A., Cost estimation of the panel clustering method applied to 3-D elastostatics, IABEM International Symposium on Boundary Element Methods, May, 1998, Paris, Symposium Proceedings,　p. 93, 1998.

  13. Hayami, K. and Sauter, S.A., A panel clustering method for 3-D elastostatics using spherical harmonics, 5th Int. Conf. on Integral Methods in Science and Engineering (IMSE'98), August, 1998, Houghton, Michigan, Abstracts,　pp. 37-38, 1998.

  14. Hayami, K. and Sauter, S. A., A multipole expansion method for three-dimensional elastostatics, Proc. Annual Meeting of the Japan Society for Industrial and Applied Mathematics, September, 1998, pp. 126-127.

  15. Hayami, K., Multipole method for 3-D elastostatics, The Fourth International Congress on Industrial and Applied Mathematics (ICIAM 99), July, 1999, Edinburgh, Book of Abstracts, Mini-Symposium MSP-107, Fast Solution Methods for the Boundary Element Method,　p. 106, 1999.

  16. Nakajima, M., Terao, J., Watanabe, S., Ando, S. and Hayami, K., Identification of traction on the boundary based on displacement observations at interior points in an elastic body, Abstracts, ISIP 2000, International Symposium on Inverse Problems in Engineering Mechanics, March, 2000, Nagano, pp. 57-61, 2000.

  17. Hamano, K., Murashige, S. and Hayami, K., The direct simulation of large amplitude standing waves using the boundary element method, Kokyuroku 1209, Mechanism and Mathematical Aspects of Nonlinear Wave Phenomena, Research Institute for Mathematical Sciences, Kyoto University, May, 2001, pp. 105-114, (in Japanese).

  18. Hayami, K., On the behaviour of the conjugate residual method for singular systems, NII Technical Reports, National Institute of Informatics, Tokyo, NII-2001-002E,　pp. 1-14, July, 2001. ( http://research.nii.ac.jp/TechReports/01-002E.html )

  19. Hayami, K., On the convergence of the conjugate residual method for singular systems, NII Technical Reports, National Institute of Informatics, Tokyo, NII-2001-003J, pp. 1-33, August, 2001 (in Japanese). ( http://research.nii.ac.jp/TechReports/01-003J.html )

  20. Kamiyama, M., Hayami, K., Murashige, S. and Oishi, S., Validated numerical solution of large scale eigenvalue problems, Proc. Annual Meeting of the Japan Society for Industrial and Applied Mathematics, September, 2001, pp.22-23.

  21. Hamano, K., Murashige, S. and Hayami, K., Boundary element simulation of large amplitude standing waves in vessels, NII Technical Reports,　National Institute of Informatics, Tokyo, NII-2002-004E, pp. 1-21, September, 2002. ( http://research.nii.ac.jp/TechReports/index-j.html )

  22. Hayami, K., GMRES and GCR(k) on singular systems, Proc. 32nd Numerical Analysis Symposium, pp. 71-74, Hakone, Japan, May, 2003.

  23. Hayami, K., GCR(k) and GMRES on singular systems, Proc. 2003 Annual Meeting of the Japan Society for Industrial and Applied Mathematics, September, 2003, pp. 324-325, 2003.

  24. Ito, T. and Hayami, K., Preconditioned GMRES methods for least squares problems, NII Technical Reports, National Institute of Informatics, Tokyo, NII-2004-006E, pp. 1-29, May, 2004. ( http://research.nii.ac.jp/TechReports/04-006E.html )

  25. Hayami, K. and Ito, T., Application of the GMRES method to singular systems and least squares problems ( Invited talk ), The 7th China-Japan Joint Seminar for Computational Mathematics and Scientific Computing, August 16-20th, 2004, Zhang Jia Jie, China, 2pp.

  26. Hayami, K., Variable transformation for nearly singular integrals in the boundary element method ( Invited talk ), Thirty Years of the Double Exponential Transforms, Symposium, September 1-3, 2004, Oraganizer: Hisashi Okamoto, Research Institute for Mathematical sciences, Kyoto University, pp. 10-12.

  27. Hayami, K. and Sugihara, M., On the convergence of the GCR(k) method for singular systems, NII Technical Reports, National Institute of Informatics, Tokyo, NII-2004-009E, pp. 1-24, December, 2004. (http://research.nii.ac.jp/TechReports/04-009E.html )

  28. Hayami, K. and Ito, T., Krylov subspace methods for singular systems and least squares problems (Invited talk), International Conference on Generalized Inverse and its Applications, Harbin Normal University, Dec. 28-30, 2004, p.3.

  29. Hayami, K., Variable transformations for nearly singular integrals in the boundary element method, NII Technical Reports,　National Institute of Informatics, Tokyo, NII-2005-010E, pp. 1-21, June, 2005. ( http://research.nii.ac.jp/TechReports/05-010E.html )

  30. Hayami, K. and Ito, T., GMRES methods for Least Squares Problems, Workshop on Numerical Linear Algebra, FoCM (Foundations of Computational Mathematics) 2005, Santander, Spain, July 7-9, 2005, Book of Abstracts, p. 165. ( http://www.damtp.cam.ac.uk/user/na/FoCM/FoCM05/ )

  31. Hayami, K. and Ito, T., GMRES methods for least squares problems, Joint Workshop on Computational Chemistry and Numerical Analysis (CCNA2005), Tokyo, December 5-6, 2005, p. 10.

  32. Hayami, K. and Ito, T., GMRES methods for least squares problems (Invited talk), International Symposium on Frontiers of Computational Science 2005 (fcs2005), Nagoya University, December 12-13, 2005, p. 31.

  33. Hayami, K. and Ito, T., GMRES Methods for Least Squares Problems, GAMM-SIAM Conference on Applied Linear Algebra, Duesseldorf, July 25, 2006, p.83.

  34. Hayami, K., Yin, J.-F. and Ito, T., GMRES Methods for Least Squares Problems (Invited talk), The First International Conference on Numerical Algebra and Scientific Computing (NASC06), Beijing, October 23, 2006, p.8-9.

  35. 20 other technical papers in Japanese.
[Speeches and oral presentations] 

  1. Hayami, K., Quadrature methods for singular and nearly singular integrals in 3-D boundary element method, (Invited Talk), 10th International Conference on Boundary Element Methods in Engineering, September, 1988, Southampton, U.K.

  2. Abe, H. and Hayami, K., An accurate and stable explicit method for transient electromagnetic problems, Conference on Electromagnetic Field Computation (IEEE), Claremont, U.S.A., 1992.

  3. Hayami, K. and Sauter, S. A., A formulation for the panel clustering method for the three-dimensional elastostatic problem, Joint Research Meeting, Numerical Analysis and Mathematical Analysis in Elasticity, Research Institute for Mathematical Sciences, Kyoto University, January, 1997, Abstracts, pp.1-2, 1997.

  4. Hayami, K.,Identification of tractions based on displacement observations at interior points, The 6th Applied Mathematics Forum, June, 2000, Songnisan, Korea.

  5. Hayami, K., On the behaviour of the conjugate residual method for singular systems, (Invited Talk), Abstracts of the 5th China-Japan Joint Seminar on Numerical Mathematics, August, 2000, Shanghai, p.7.

  6. Hayami, K., On the convergence of the conjugate residual method for singular systems, The Third Japan/Czech Workshop on Computational Methods in Applied Science, February, 2001, The Institute of Statistical Mathematics, Tokyo.

  7. Hayami, K., On the convergence of conjugate residual and related methods for singular systems, Abstracts of Talks, ICRACM2001, International Conference on Recent Advances in Computational Mathematics, October, 2001, Matsuyama,　pp. 24-25, 2001.

  8. Hayami, K., On the convergence of the GCR(k) method for singular, (Invited Talk), Research Meeting on Discretization Methods and Numerical Algorithms for Differential Equations, November, 2001, Research Institute for Mathematical Sciences, Kyoto University, Abstracts, pp. 31-33, (Invited Talk in Japanese).

  9. Hayami, K., On the convergence of the GCR(k) method for singular systems, Latsis Symposium 2002: Iterative Solvers for Large Linear Systems(celebrating 50 years of the conjugate gradient method), February, 2002, ETH Zuerich, Abstracts, pp. 22-23.

  10. Hayami, K., On the convergence of Krylov subspace methods for singular systems, MYLOVY 2002, Computational Linear Algebra with Applications August, 2002, Milovy, Czech Republic, Book of Abstracts, pp. 36-37.

  11. Hayami, K., GCR(k) and GMRES on singular systems, 5th International Congress on Industrial and Applied Mathematics (ICIAM2007), July, 2003, Sydney, Minisymposium: Krylov Subspace Methods on Singular and Nearly Singular Systems, Book of Abstracts, p.81, 2003.

  12. Hayami, K., Krylov subspace methods on singular systems, (Invited talk), Dagstuhl Seminar 03421: Theoretical and Computational Aspects of Matrix Algorithms, October 12-17th, 2003, Dakstuhl, Germany.

  13. Hayami, K., Krylov subspace methods on singular systems, (Invited talk), Seminar at the Institute for Computer Science III, Technical University Hamburg-Harburg, October 20th, 2003.

  14. Hayami, K., GMRES methods for least squares problems (Invited talk), School of Mathematical Sciences, Peking University, April 28th, 2005.

  15. Hayami, K., Krylov subspace methods for singular systems (Invited talk), Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, Peking, April 29th, 2005.

  16. Hayami, K. and Ito, T., GMRES Methods for Least Squares Problems, Seminar at Institut fuer Mathematik und Optimierung, Technische Universitaet Bergakademie Freiberg, July 19th, 2006.

  17. Hayami, K. and Ito, T., GMRES Methods for Least Squares Problems (Poster Presentation), First China-Japan-Korea Joint Conference on Numerical Mathematics, Sapporo, August 4, 2006.

  18. Hayami, K., Yin, J.-F. and Ito, T., GMRES Methods for Least Squares Problems (Invited talk), Mathematics Department, Fudan University, Shanghai, October 28, 2006.

[Teaching experience] 

  1. 1993-2002 Department of Mathematical Engineering and Information Physics, Graduate School of Engineering, The University of Tokyo, Supervision of 14 Master Course students, 1 Ph.D. student, Lecture: Topics in Numerical Analysis (Boundary Element Method, Finite Element Method, Iterative Solvers for Systems of Linear Equations), Mathematics of Approximations I, II, etc.

  2. 1993-2001 Department of Mathematical Engineering and Information Physics, Faculty of Engineering, The University of Tokyo, Supervision of Bachelor 12 theses, Lecture: Geometrical Mathematical Engineering (Vector and Tensor Analysis, Differential Geometry), Analytical Mathematical Engineering ( Functional Analysis, Measure Theory ), Fundamentals of Mathematical Engineering ( Analysis ), Exercises in Mathematical Engineering, etc.

  3. 2002- Department of Informatics, School of Mathematical and Physical Science (2004- School of Multidisciplinary Sciences), The Graduate University for Advanced Studies (Sokendai), Supervision of 2 Ph.D. students, Lectures: Introduction to Foundations and Infrastructure of Informatics (omnibus, 2002: Finite Difference and Finite Element Methods, 2004: Linear Algebra), Mathematical Informatics (2002: Iterative Solvers for Systems of Linear Equations, 2004: Least Squares Problems), Introduction to Foundations of Informatics I (omnibus, 2006: Linear Algebra), Theory of Numerical Methods (2006: Krylov Subspace Methods for the Iterative Solution of Systems of Linear Equations), Presentation in English II (omnibus, 2006).

[Other activities in the past] 

  1. 1986, 1989-1993年： 日本電気株式会社にてスーパーコンピュータ用数学ライブラリーを開発（連立一次方程式の反復解法, 数値積分法）

  2. 1981-1984： 日本電気株式会社にてLSIの配線収容性予測の研究開発

  3. 1991-1993： 日本電気株式会社にて大規模数値シミュレーション技術の研究開発の統括

  4. 1986, 1989-1993: Development of Mathematical Library for NEC Supercomputer (Iterative solvers for systems of linear equations, numerical integration).

  5. 1981-1984： Research and development on the prediction of the routability of LSI at NEC Corporation.

  6. 1991-1993： Management of research and development of large scale numerical simulation at NEC Corporation.

  7. 2006-: Head, Department of Informatics, School of Multidisciplinary Sciences, The Graduate University for Advanced Studies (Sokendai).
[Competitive research funds] 

  (1) Grant in aid for scientific research

  • 平成6年度-8年度 科学研究費補助金 （基盤研究（C）(2))： 「境界要素法の高精度化・高速化の研究」 (06650073)
  • 平成12年度-14年度 科学研究費補助金 （基盤研究（C）(2))： 「境界要素法の高速化と逆問題への応用」 （12650060）
  • 基盤研究(C)：大規模連立一次方程式および最小二乗問題のクリロフ部分空間型反復解法の研究 (平成17年度－)
  (2) Public funding

  • 平成9年度 文部省在外研究員
  • 平成11年度 国際研究集会派遣研究員旅費 （文部科学省）
  • 平成15年度 国際研究集会派遣研究員旅費 （文部科学省）
  (3) Others

  • 平成5-8年度 日本電気株式会社 奨学寄付金
  • 平成8年度 財団法人 大川情報通信基金 研究助成： 「境界要素法の高速化とその応用」(96-06)
  • 平成12年度 株式会社 島津製作所 受託研究