一太郎 11/10/9/8 文書

Teaching (The Department of Informatics, School of Multidisciplinary Sciences, The Graduate University for Advanced Studies)

(http://www.nii.ac.jp/graduate/index_e.html)

Teaching and research supervision in theory and application of numerical analysis. Emphasis on the mathematical

analysis and development of numerical algorithms.

The main research topic is numerical linear algebra (iterative solvers for large sparse linear systems, least squares problems, etc.), inverse problems.

Lectures

Theory of Numerical Methods (2nd semester, biennial)

Applied Linear Algebra (2^nd semester, part, 15 lectures)

Scientific Presentation (2^nd semester, part, 6 lectures)

Scientific Writing (2^nd semester, part, 2 lectures)

(http://www.nii.ac.jp/graduate/en/about/curriculum/ )

Members of Hayami Laboratory

Project Researcher

Kota Sugihara 2016.10.1-

Visiting Researcher

Ph.D. Student

Department of Informatics, School of Multidisciplinary Sciences, SOKENDAI (The Graduate University for Advanced Studies)

Zeyu LIAO October 2017- 3 year course D3

NII MOU Internship Students

Visiting Student

OB/OG

Ph.D. Students

Department of Informatics, School of Multidisciplinary Sciences , SOKENDAI(The Graduate University for Advanced Studies)

Ning ZHENG March, 2017, Ph.D. (3 year course), Project Researcher, Learning and Inference Group, Department of Statistical Inference and Mathematics, The Institute of Statistical Mathematics, Best Academic Young Pioneer, The 8^th Tongji Academic Young Pioneer Researcher Competition, Tongji University, Shanghai (2014.12)

National Institute of Informatics Excellent Student Award (September, 2016)

National Institute of Informatics Best Presentation Prize (January, 2017)

The 2016 Chinese Government Award for Outstanding Self-financed Students Abroad, China Scholarship Council (January, 2017)

https://en.wikipedia.org/wiki/Chinese_government_award_for_outstanding_self_finance_students_abroad http://www.csc.edu.cn/chuguo/s/826

Kota Sugihara Sept., 2016, Ph.D. (3 year course), Project Researcher, Hayami Lab., NII

Keiichi Morikuni March, 2013, Ph.D. (5 year course), Assistant Professor, Division of Information Engineering, Faculty of Engineering, Information and Systems, Tsukuba University

http://researchmap.jp/KeiichiMorikuni/

　　　　　　　　　　National Institute of Informatics Excellent Student Award (March, 2013)

Nagakura Research Incentive Award, The Graduate University for Advanced Studies (Sokendai) (March, 2013) http://www.soken.ac.jp/en/activities/prize/awards.html

SIAM Student Paper Prize (July, 2013) http://siam.org/prizes/sponsored/student_paper.php

2014 (31^st) Inoue Research Award for Young Scientists from the Inoue Foundation for Science (February, 2015) http://www.inoue-zaidan.or.jp/f-02.html

Xiaoke Cui Sept., 2009, Ph.D. (3 year course), Project Researcher, Graduate School of Frontier Sciences, The University of Tokyo

Masayuki Ishii (The Graduate University for Advanced Studies, 2002-2006)

Project Researcher

Jun-Feng Yin 　 Professor, Mathematics Department,Tongji University, ( http://www.tongji.edu.cn/~yin ) (Project Researcher, National Institute of Informatics, 2006-2008)

The Applied Numerical Algebra Prize 2010 (http://lsec.cc.ac.cn/~NASCNAG/winner.htm )

NII MOU Internship Students

Dongfa MA　2019.10.25-2020.5.29 Master course student, School of Mathematical Sciences, Togji University, Shanghai

Yishu DU 2019.3.7-9.8.30 Ph.D. student, Department of Mathematical Science, Togji University, Shanghai)

Verner PŰVI 2019.3.29-8.29 PhD student, Department of Electrical Engineering & Automation, Aalto University, Finland

Tahitoa ARBELOT 20192.26-7.26 Graduate Engineering School in Informatics, Applied Mathematics and Telecomunications, Grenoble Institute of Technology – Ensimag.

Zhixuan HUANG, 2018.3.9-9.4 Master course student, Department of Mathematics, Tongji University, Shanghai

Xiongfeng SONG 2017.9.14-2018.2.14 Master course student, Department of Mathematics, Tongji University, Shanghai

Joan GIMENO 2017.1.27-7.10 (Master course student ,Universitat Politècnica de Catalunya; Ph.D. Student, University of Barcelona)

Quanyu DOU 2017.2.19-2017.5.19 (Ph.D. student, Department of Mathematics, Tongji University, Shanghai)

Quang Huy TRAN 　 2016.9.4-11.30 (Ph.D. student, Faculty of Electronics and Communications, University of Engineering and Technology, Vietnam National University, Hanoi)

Thanh Nam PHAM 2015.12.8-2016.6.3 (Researcher, Teaching assistant, University of Engineering and Technology, Vietnam National University, Hanoi)

Guangguang WANG 2015.9.2-2016.2.28 (Master course student, Department of Mathematics, Tongji University, Shanghai)

Zeyu LIAO　　　　　　2015.3.2-8.26, 2016.9.4-2017.3.3 (Master Course student, Department of Mathematics, Tongji University, Shanghai)

Yiran CUI 2014.7.30-12.26, 2015.12.14-2016.4.7 (Ph.D. student, Department of Computer Science, Faculty of Engineering Science, University College London)

Lu LIU 2013.8.15-2014.2.14 ((Ph.D. student, Department of Mathematics, Tongji University, Shanghai)

Khin Moh Moh LATT 2013.8.11-11.7(Ph.D. student, Geo-Exploration and Petroleum Geoengineering, Asian Institute of Technology, Thailand)

Ning Zheng 2013.2.26-8.24 (Ph.D. student, Department of Mathematics, Tongji University, Shanghai)

Philippe Gaudreau 2013.1.10-7.9 (Master course student, Department of Mathematical and Statistical Sciences, University of Alberta)

Roy Nawar 2012.3-9 (Ph.D. student, School of Mathematics and Statistics, University of Sydney)

Benoit Goepfert 2011.2-8 (Master course student, Pierre & Marie Curie University)

Yasunori Aoki 2010.3-12, (Ph.D. student, Department of Applied Mathematics, Waterloo University)

Best Poster, AC.CES Conference (July, 2011) ( http://www.acces11.rwth-aachen.de/MainContents/News.php )

2015 Best Author Prize of the Japan Society for Industrial and Applied Mathematics (JSIAM).(with Ken Hayami and Akihiko Konagaya, September, 2015)

http://www.jsiam.org/modules/xfsection/article.php?articleid=79

Saithip Limtrakul 2008 (Chulalongkorn University)

Puthita Sumanon 2008 (Master course student, Chulalongkorn University)

Yong-Hua Gao 2007 (Ph.D. student, The Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences)

Shanshan JIANG 2007 (Ph.D. student, The Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences)

Zeng-Qi Wang 2006.1-4, (Ph.D. student, The Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences)

Jun-Feng Yin 2006.1-3, (Ph.D. student, The Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences)

JSPS Summer Program Fellow

Stefan Guettel 2008 (Ph.D. student, Fakultät für Mathematik und Informatik, Technische Universität Bergakademie Freiberg)

Visiting Student (JST Sakura Science Plan)

Zeyu LIAO 2017.7.25-9.30 Graduate, Master course, Department of Mathematics, Tongji University, Shanghai

Shenglong RAO　2017.7.3-21　Master Course, University of Science and Technology of China (USTC)

Yang HANG 2016.7.25-8.1 Undergarduate student, School of Information Science and Technology, University of Science and Technology of China

Visiting Researcher

Shu-Xin Miao 2017.2.17-3.8 Assistant Professor, College of Mathematics and Statistics, Northwest Normal University, China (JSPS Bilateral Program)

Yasunori AOKI 2016.8.26-2017.3.6 Data Scientist, World Health Organization Collaborating Centre for International Drug Monitoring, Uppsala, Sweden

Ning Zheng 2013.11.10-2014.2.7 Ph.D. student, Department of Mathematics, Tongji University, Shanghai

Saeed Sohrabi Assistant Professor, Department of Mathematics, Faculty of Sciences, Urmia University, Urmia, Iran.

Present Research Interests

Numerical Analysis; Numerical Linear Algebra

(i) Iterative Solution of Large Sparse Linear Systems:

The analysis of the convergence of Krylov subspace methods for singular systems.

(ii) Iterative Solution of Least-Squares Problems.

(iii) Numerical solution of Inverese Problems (e.g. estimation of parameters in a pharmacokinetic model)

etc.

Research in the Past

1. Boundary Element Method (BEM)

(i) Fast Solution Methods

Application of the panel clustering method to elastostatics

Application of the Fast Multipole Method (FMM) to the potential problem, many particle systems

(ii) Quadrature for singular and nearly singular integrals in BEM: development and analysis of algorithms

(iii) Inverse Problems

1) Identification of electric dipoles in the brain.

2) Elastostatic problem (Identification of traction from displacements at interior points)

　　(iv) Analysis of free surface

2. Numerical Linear Algebra

(i) Vector and parallel algorithms for preconditioned Krylov subspace methods

(ii) Large Sparse Eigenvalue Problems: Jacobi-Davidson Method

(iii) Validated Computation for large sparse eigenvalue problems using the Jacobi-Davidson Method

3. Prediction of Routability of LSI

4. Analysis of Plastic Behaviour of Polycrystals.

5. Fluid dynamics

Software

1. Keiichi Morikuni: Solvers for least square problems based on

inner-iteration preconditioned GMRES methods.

https://researchmap.jp/KeiichiMorikuni/Implementations/

https://github.com/morikuni-keiichi

2. Cluster Newton method for solving underdetermined inverse problems, developed by Dr. Yasunori Aoki and Mr. Philippe Gaudreau:

http://konagaya-lab.sakura.ne.jp/jp/?page_id=106 and https://sourceforge.net/p/cluster-newton-method/code/ci/master/tree/

3. Cluster Gauss Newton method for obtaining multiple solutions of nonlinear least squares problems (Application to parameter estimation of Physiologically based Pharmacokinetic (PBPK) models):

https://sourceforge.net/p/cluster-gauss-newton-method/code/

GUI software: http://www.bluetree.me/CGNmethod_for_PBPKmodels　

Matlab code available in Matlab central file exchange:

https://jp.mathworks.com/matlabcentral/fileexchange/68798-cluster-gauss-newton-method

4. Cui, Y., Morikuni, K., Tsuchiya, T., and Hayami, K.,

Implementation of interior-point methods for LP based on Krylov subspace iterative solvers with inner-iteration preconditioning

https://github.com/cuiyiran/NIILP

List of Publications

Google Scholar Citations

http://scholar.google.com/citations?user=yH7c1E8AAAAJ&hl=en&citsig=AMstHGR3OADRy63R9P2y1ndrSOF7MUhhBw　

Book

* Hayami, K.,

A Projection Transformation Method for Nearly Singular Surface Boundary Element Integrals,

Lecture Notes in Engineering, Vol. 73, Springer-Verlag, (456 pages), 1992.

( https://www.springer.com/gp/book/9783540550006 )

Journal Papers

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.,

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).

(http://ci.nii.ac.jp/naid/110002724533/ )

3. 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.

( http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?tp=&arnumber=106389&isnumber=3251 )

4. 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).

*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.

(http://www.sciencedirect.com/science/article/pii/0955799794900175 )

6. Washio, T. and Hayami, K.,

Parallel block preconditioning based on SSOR and MILU,

Numerical Linear Algebra with Applications, Vol. 1(6), pp. 533-553, 1994.

7. Washio, T. and Hayami, K.,

Overlapped multicolor MILU preconditioning,

SIAM Journal on Scientific Computing, Vol. 16, No. 3, pp. 636-650, 1995.

8. Kunihiro, N., Hayami, K., and Sugihara, M.,

Automatic numerical integration for the boundary element method using variable transformation and its error analysis,

Transactions of the Japan Society for Industrial and Applied Mathematics, Vol. 5, No. 1, pp. 101-119, 1995, (in Japanese).

*9. 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).

(http://ci.nii.ac.jp/naid/110001878206/ )

10. 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.

　 (http://www.sciencedirect.com/science/article/pii/S0955799703000419 ))

*11. 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.

( http://www.kurims.kyoto-u.ac.jp/~prims/pdf/41-4/41-4-34.pdf )

*12. 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).

( http://www.ism.ac.jp/editsec/toukei/tokeisuri-53-2e.html )

13. 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).

( http://www.ism.ac.jp/editsec/toukei/pdf/53-2-331.pdf )

14. Ito, T. and Hayami, K.,

Preconditioned GMRES methods for least squares problems,

Japan Journal of Industrial and Applied Mathematics, Vol. 25, No. 2, pp. 185-207, 2008.

(http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.jjiam )

15. Yin, J.-F. and Hayami, K.,

Preconditioned GMRES methods with incomplete Givens orthogonalization method

for large sparse least-squares problems,

Journal of Computational and Applied Mathematics, Vol. 226, 177-186, 2009.

(http://dx.doi.org/10.1016/j.cam.2008.05.052)

16. Cui, X. and Hayami, K.,

Generalized approximate inverse preconditioners for least squares problems,

Japan Journal of Industrial and Applied Mathematics, Vol. 26, No.1, 1-14, 2009.

(http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.jjiam/1244209203)

*17. Hayami, K., Yin, J.-F., and Ito, T.,

GMRES methods for least squares problems,

SIAM Journal on Matrix Analysis and Applications , Vol. 31, No. 5, pp. 2400-2430, 2010.

( http://epubs.siam.org/doi/abs/10.1137/070696313 )

(Dr. Jun-Feng Yin received the Applied Numerical Algebra Prize 2010 (http://lsec.cc.ac.cn/~NASCNAG/winner.htm ))

*18. Hayami, K. and Sugihara, M.,

A geometric view of Krylov subspace methods on singular systems,

Numerical Linear Algebra with Applications, Vol. 18, pp. 449-469, 2011.

( DOI: 10.1002/nla.737, http://onlinelibrary.wiley.com/doi/10.1002/nla.737/abstract )

Hayami, K. and Sugihara, M.,

Corrigendum to: A geometric view of Krylov subspace methods on singular systems,

Numerical Linear Algebra with Applications, Vol. 21, pp. 701-702, 2014.

( DOI: 10.1002/nla.1931, http://onlinelibrary.wiley.com/doi/10.1002/nla.1931/pdf )

Hayami, K., and Sugihara, K.,

Corrigendum 2 to: A geometric view of Krylov subspace methods on singular systems,

Numerical Linear Algebra with Applications, (accepted for publication), 6 pp.

https://arxiv.org/abs/2009.00371

https://www.nii.ac.jp/TechReports/public_html/index-j.html

19. Cui, X., Hayami K., and Yin, J.-F.,

Greville’s method for preconditioning least squares problems,

Advances in Computational Mathematics , Vol. 35, pp. 243-269, 2011.

(DOI: 10.1007/s10444-011-9171-x, http://www.springerlink.com/content/9456635232883247/ )

20. Morikuni, K., and Hayami, K.,

Inner-iteration Krylov subspace methods for least squares problems,

SIAM Journal on Matrix Analysis and Applications, Vol. 34, No. 1, pp. 1-22, 2013.

( http://epubs.siam.org/doi/abs/10.1137/110828472 )

(Dr. Keiichi Morikuni received SIAM Student Paper Prize for this paper. (2013.7) http://siam.org/prizes/sponsored/student_paper.php )

Software available at http://researchmap.jp/KeiichiMorikuni/Implementations/

21. Morikuni, K., Reichel, L., and Hayami, K.,

FGMRES for linear discrete ill-posed problems,

Applied Numerical Mathematics., Vol. 75, pp. 175-187, 2013,

http://dx.doi.org/10.1016/j.apnum.2013.08.004 .

22. Aoki, Y., Hayami, K., De Sterck, H. and Konagaya, A.,

Cluster Newton method for sampling multiple solutions of an underdetermined inverse problem: Parameter identification for pharmacokinetics,

SIAM Journal on Scientific Computing, Vol. 36, No. 1, pp. B14-B44, 2014.

http://epubs.siam.org/doi/abs/10.1137/120885462

Software available at http://konagaya-lab.sakura.ne.jp/jp/?page_id=106 and https://sourceforge.net/p/cluster-newton-method/code/ci/master/tree/　

23. Morikuni, K. and Hayami, K.,

Convergence of inner-iteration GMRES methods for rank-deficient least squares problems,

SIAM Journal on Matrix Analysis and Applications, Vol. 36, No. 1, pp. 225-250, 2015.

http://epubs.siam.org/doi/pdf/10.1137/130946009　

Supplementary Material: http://epubs.siam.org/doi/suppl/10.1137/130946009/suppl_file/suppl1110.pdf.

Software: https://researchmap.jp/KeiichiMorikuni/Implementations/　

24. Gaudreau, P., Hayami, K., Aoki, Y., Safoui, H., and Konagaya, A.,

Improvements to the Cluster Newton method for underdetermined inverse problems,

Journal of Computational and Applied Mathematics, Vol. 283, pp. 122-141, 2015.

http://www.sciencedirect.com/science/article/pii/S0377042715000266 .

25. Xu, W., Zheng, N., and Hayami, K.,

Jacobian-free implicit inner-iterative preconditioner for nonlinear least squares problems,

Journal of Scientific Computing, Vol. 68, pp. 1055-1081, 2016.

http://link.springer.com/article/10.1007/s10915-016-0167-z

26. Sugihara, K., Hayami, K., and Zheng, N.,

Right preconditioned MINRES using Eisenstat SSOR for positive semidefinite systems,

Transactions of the Japan Society for Industrial and Applied Mathematics, Vol. 26, No. 2, pp. 124-166, 2016, (in Japanese)

https://www.jstage.jst.go.jp/article/jsiamt/26/2/26_124/_pdf

27. Zheng, N., Hayami, K., and Yin, J.-F.,

Modulus-type inner outer iteration methods for nonnegative constrained least squares problems,

SIAM Journal on Matrix Analysis and Applications, Vol. 37, No. 3, pp. 1250–1278, 2016.

http://epubs.siam.org/doi/abs/10.1137/141002220

28. Bai, Z.-Z., Buccini, A., Hayami, K., Reichel, L., Yin, J.-F., and Zheng, N.,

Modulus-based iterative method for constrained Tikhonov regularization,

Journal of Computational and Applied Mathematics, Vol. 319, pp.1-13, 2017.

　http://dx.doi.org/10.1016/j.cam.2016.12.023

29. Marin, J., Mas, J., Guerrero, D., and Hayami, K.,

Updating preconditioners for modified least squares problems,

Numerical Algorithms, Vol. 75, pp. 491-508, 2017.

http://link.springer.com/article/10.1007/s11075-017-0315-z

30. Cui, Y., Morikuni, K., Tsuchiya, T., and Hayami, K.,

Implementation of interior-point methods for LP based on

Krylov subspace iterative solvers with inner-iteration preconditioning,

Computational Optimization and Applications,

Vol. 74, No. 1, pp. 143-176, 2019.

https://doi.org/10.1007/s10589-019-00103-y

Software: https://github.com/cuiyiran/NIILP

31. Ishii, M., Nunohiro, E., and Hayami, K.,

The numerical solution of systems of nonlinear equations

by an extension of the Hirano's method and Armijo's rule,

Transactions of the Japan Society for Industrial and Applied Mathematics, Vol. 29, No. 2, pp. 225-249, 2019, (in Japanese).

https://www.jstage.jst.go.jp/article/jsiamt/29/2/29_225/_article/-char/ja

32. Sugihara, K., Hayami, K., and Zheng, N.,

Right Preconditioned MINRES for Singular Systems,

Numerical Linear Algebra with Applications, Vol. 27(3), e2227, 25pp., 2020.https://onlinelibrary.wiley.com/doi/epdf/10.1002/nla.2277

33. Song, X., Xu, W., Hayami, K., and Zheng, N.,

Secant Variable Projection Method for Solving Separable Nonnegative

Least Squares Problems, Numerical Algorithms , Vol. 85, pp. 737-761, 2020.

https://doi.org/10.1007/s11075-019-00835-2

34. Aoki, Y., Hayami, K., Toshimoto, K., and Sugiyama, Y.,

Cluster Gauss-Newton method - An algorithm for finding

multiple approximate minimisers of nonlinear least squares problems

with applications to parameter estimation of pharmacokinetic models,

Optimization and Engineering, (2020), 31pp.

https://doi.org/10.1007/s11081-020-09571-2

https://www.nii.ac.jp/TechReports/public_html/20-002E.html

https://arxiv.org/abs/1808.06714v4

35.  Püvi, V., Millar, R., Saarijärvi, E., Tahitoa, A., Hayami, K.,

and Lehtonen, M.,

Slime Mold Inspired Distribution Network Initial Solution,

Energies 2020, 13 (23), 6278, 17pp.

https://doi.org/10.3390/en13236278

36．Hayami, K., and Sugihara, K.,

Corrigendum 2 to: A geometric view of Krylov subspace methods on singular systems,

Numerical Linear Algebra with Applications, (accepted for publication), 6 pp.

https://arxiv.org/abs/2009.00371

https://www.nii.ac.jp/TechReports/public_html/index-j.html

37. Du, Y., Hayami, K., Zheng, N., Morikuni, K., and Yin, J.-F.,

Kaczmarz-type inner-iteration preconditioned flexible GMRES

methods for consistent linear systems,

SIAM Journal on Scientific Computing,

(accepted for publication), 22 pp.

https://arxiv.org/abs/2006.10818.

https://www.nii.ac.jp/TechReports/public_html/20-003E.html

38. Liao, Z., Hayami, K., Morikuni, K., and Yin, J.-F.,

A stabilized GMRES method for solving underedetermined least squares

problems, (in revision).

https://www.nii.ac.jp/TechReports/public_html/20-001E.html

　　 https://arxiv.org/abs/2007.10853

Proceeding Papers of International Conferences

*1. 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.

*2. 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.

*3. 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.

*4. 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.

5. 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.

6. 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.

*7. 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.

8. 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.

*9. 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 Conf., Southampton,

Computational Mechanics Publications, pp. 201-210, 1994.

10. 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.

11. 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.

12. 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.

13. 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.

14. 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.

*15. 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.

*16. 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.

*17. 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.

18. 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.

*19. 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.

20. 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.

*21. Hayami, K.,

On the behaviour of the conjugate residual method for singular systems, (Invited paper),

in Z.-C. Shi and H. Kawarada eds.,

Proceedings of Fifth China-Japan Seminar on Numerical Mathematics, Shanghai, 2000,

Science Press, Beijing/New York, pp. 117-126, 2002.

*22. 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.

23. 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.

24. Cui, X., Hayami, K., and Yin, J.-F.,

Greville’s method for preconditioning least squares problems,

Proceedings of contributed papers and posters, ALGORITMY 2009, 18th Conference on Scientific Computing,

Vysoke Tatry-Podbanske, Slovakia, March 15-20, 2009, pp. 440-448.

( http://www.iam.fmph.uniba.sk/amuc/_contributed/algo2009/ )

Kokyuroku

1. 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, (in Japanese).

2. 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, (in Japanese).

3. Hamano, K., Murashige, S., and Hayami, K.,

Direct simulation of large amplitude standing waves using the boundary element method,

Kokyuroku 1209, The Mechanism and Mathematics of Nonlinear Wave Phenomena,

Research Institute for Mathematical Sciences, Kyoto University, May, 2001, pp.105-114, (in Japanese).

4. 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).

5. Ishii, M. and Hayami, K.,

The numerical solution of systems of algebraic equations occurring in inverse problems in magnetoencephalography,

Kokyuroku 1362, Numerical Analysis and New Information Technology,

Research Institute for Mathematical Sciences, Kyoto University, April, 2004, pp. 79-87. (in Japanese).

6. 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).

7. Morikuni, K. and Hayami, K.,

Inner-iteration preconditioning for least squares problems,

Kokyuuroku 1791, New Developments in the Theory and Applications of Scientific Engineering Computing,

Research Institute for Mathematical Sciences, Kyoto University, April, 2012, pp. 21-30. (in Japanese).

Refereed Papers of Domestic Conferences

1. 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).

2. 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).

3. 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).

4. 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).

5. 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).

6. 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).

7. 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).

8. 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.

9. 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).

10. 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.

11. 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).

12. 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).

13. 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).

14. 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).

Technical Reports / Preprints

1. 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.

( http://www.keisu.t.u-tokyo.ac.jp/Research/techrep.0.html#1995 )

2. Hayami, K.,

Improvement of a method for identifying a current dipole in the brain using BEM and nonlinear optimization,

Technical Reports, Department of Mathematical Engineering, University of Tokyo,

METR 98-03, pp. 1-10, April, 1998.

3. Nakajima, M., Hayami, K., Terao, J., Watanabe, S., and Ando, S.,

Identification of tractions based on displacement observations at interior points,

Technical Reports, Department of Mathematical Engineering, University of Tokyo,

METR 2000-03, pp. 1-11, April, 2000.

( http://www.keisu.t.u-tokyo.ac.jp/Research/techrep.0.html#2000 )

4. 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 )

5. 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 )

6. Hamano, K., Murashige, S. and Hayami, K.,

Boundary element simulation of large amplitude standing waves in vessels,