Graduate School of Business Administration,Department of Business Administration
KOBAYASHI Kenta
  • Curriculum Vitae
  • Research Results
  • Educational and Social Activities

日本語

Paper

1.Error analysis of Lagrange interpolation on tetrahedrons(jointly worked)
Journal of Approximation Theory Vol.249 2020 Academic journal
doi
2.Error analysis of Crouzeix–Raviart and Raviart–Thomas finite element methods(jointly worked)
Japan Journal of Industrial and Applied Mathematics Vol.35,No.3,pp.1191-1211 2018 Academic journal
doi
3.Estimation of mean squared errors of non-binary A/D-encoders through Fredholm determinants of piecewise-linear transformations(jointly worked)
Nonlinear Theory and Its Applications, IEICE Vol.9,No.2,pp.243-253 2018 Academic journal
doi
4.Approximating surface areas by interpolations on triangulations(jointly worked)
Japan Journal of Industrial and Applied Mathematics Vol.34,No.2,pp.509-530 2017 Academic journal
doi
5.The circumradius condition and its application
AIP Conference Proceedings Vol.1776 2016 International conference proceedings
doi
6.Extending Babuška-Aziz's theorem to higher-order Lagrange interpolation(jointly worked)
Applications of Mathematics Vol.61,No.2,pp.121-133 2016 Academic journal
7.A recursive formula for the circumradius of the n-simplex
Forum Geometricorum Vol.16,pp.179-184 2016 Academic journal
8.A priori error estimates for Lagrange interpolation on triangles(jointly worked)
Applications of Mathematics Vol.60,No.5,pp.485-499 2015 Academic journal
9.Backward error bounds for 2×2 linear systems arising in the diagonal pivoting method(jointly worked)
Nonlinear Theory and Its Applications, IEICE Vol.6,No.3,pp.383-390 2015 Academic journal
10.On the circumradius condition for piecewise linear triangular elements(jointly worked)
Japan Journal of Industrial and Applied Mathematics Vol.32,No.1,pp.65-76 2015 Academic journal
11.A Babuška-Aziz type proof of the circumradius condition(jointly worked)
Japan Journal of Industrial and Applied Mathematics Vol.31,No.1,pp.193-210 2014 Academic journal
12.Computer-Assisted Uniqueness Proof for Stokes' Wave of Extreme Form
Nankai Series in Pure, Applied Mathematics and Theoretical Physics Vol.10,pp.54-67 2013 Academic journal
13.A method for portfolio evaluation based on linear expansion and its application to an empirical portfolio(jointly worked)
Science reports of Kanazawa University Vol.56,pp.15-34 2012 Bulletin of university, institute, etc.
14.On the interpolation constants over triangular elements
Vol.1733,pp.58-77 2011 Bulletin of university, institute, etc.
CiNii
15.On the global uniqueness of Stokes' wave of extreme form
IMA Journal of Applied Mathematics Vol.75,No.5,pp.647-675 2010 Academic journal
16.On the critical case of Okamoto's continuous non-differentiable functions
Proceedings of the Japan Academy, Series A Vol.85,No.8,pp.101-104 2009 Academic journal
CiNii
17.A constructive a priori error estimation for finite element discretizations in a non-convex domain using singular functions
Japan Journal of Industrial and Applied Mathematics Vol.26,No.2-3,pp.493-516 2009 Academic journal
18.Verified numerical computation of solutions for the stationary Navier-Stokes equation in nonconvex polygonal domains(jointly worked)
Hokkaido Mathematical Journal Vol.36,No.4,pp.777-799 2007 Academic journal
19.Numerical verification methods for solutions of the free boundary problem(jointly worked)
Numerical Functional Analysis and Optimization Vol.26,No.4-5,pp.523-542 2005 Academic journal
20.Uniqueness issues on permanent progressive water-waves(jointly worked)
Journal of Nonlinear Mathematical Physics Vol.11,No.4,pp.472-479 2004 Academic journal
21.Numerical verification of the global uniqueness of a positive solution for Nekrasov's equation
Japan Journal of Industrial and Applied Mathematics Vol.21,No.2,pp.181-218 2004 Academic journal
CiNii
22.A remark on the fast Gauss transform
Publications of the Research Institute for Mathematical Sciences Vol.39,No.4,pp.785-796 2003 Academic journal
CiNii
23.Numerical computation of water and solitary waves by the double exponential transform(jointly worked)
Journal of Computational and Applied Mathematics Vol.152,No.1-2,pp.229-241 2003 Academic journal
24.http://ci.nii.ac.jp/naid/110000166381(jointly worked)
Vol.1265,pp.209-219 2002 Bulletin of university, institute, etc.
25.Numerical method of generating minimal surfaces by using J. Douglas' functional
Vol.10,No.1,pp.21-35 2000 Academic journal
CiNii

Oral Presentation

NOName of subject/Conference NameYearSite
1.On the interpolation constants over triangular elements(Conference on Inequalities and Applications '10)
2010.09In Hotel, Hajduszoboszlo, Hungary
2.On the interpolation constants over triangular elements(Czech-Japanese Seminar in Applied Mathematics)
2010.08Czech Technical University, Prague, Czech
3.Numerical verification method and its applications(Kunitachi One-Day Symposium on Mathematical Finance)
2010.07Sano-Shoin, Hitotsubashi University
4.On the interpolation constant over triangular elements(International Workshop on Numerical Verification and its Applications 2010(INVA2010))
2010.03Hotel Lido Azzurro, Hachijo-jima
5.An a priori constant which appear in bi-harmonic problems(Dagstuhl Seminar : Computer-assisted proofs - tools, methods and applications)
2009.11Schloss Dagstuhl, Wadern, Germany
6.A constructive a priori error estimation for finite element discretizations in a non-convex domain using mesh refinement(International Conference on Engineering and Computational Mathematics(ECM2009))
2009.05The Hong Kong Polytechnic University
7.An a priori constant which appears in bi-harmonic problems(International Workshop on Numerical Verification and its Applications 2009(INVA2009))
2009.03Hotel Breeze Bay Marina, Miyako Island
8.A constructive a priori error estimation for finite element discretizations in a non-convex domain using a mesh refinement(1st African Conference on Computational Mechanics(AfriCOMP 2009))
2009.01Sun City Convention Center, Sun City, South Africa
9.A constructive a priori error estimation for finite element discretizations in a non-convex domain using mesh refinement(International Workshop on Numerical Verification and its Applications 2008(INVA2008))
2008.03Tokyo Dai-ichi Hotel OKINAWA GRAND MER RESORT, Naha
10.A constructive a priori error estimation for finite element discretizations in a non-convex domain using mesh refinement(The 3rd East Asia SIAM Conference)
2007.11Xiamen University, Xiamen, China
11.Some numerical results for the explicit L∞ error bounds(COE Conference on the Development of Dynamic Mathematics with High Functionality(DMHF2007))
2007.10Fukuoka Recent Hotel, Fukuoka
12.A constructive a priori error estimation for finite element discretizations in a non-convex domain using mesh refinement(Conference on Inequalities and Applications '07)
2007.09De La Motte Castle, Noszvaj, Hungary
13.A constructive a priori error estimation for finite element discretizations in a non-convex domain using mesh refinement(International Conference on Recent Developments of Numerical Schemes for Flow Problems(INSF2007))
2007.06Kyushu University Nishijin Plaza, Fukuoka
14.On the global uniqueness of Stokes' wave of extreme form(The First China-Japan-Korea Joint Conference on Numerical Mathematics)
2006.08
15.On the global uniqueness of Stokes' wave of extreme form(Kyoto Conference on the Navier-Stokes equations and their Applications)
2006.01Kyoto University
16.On the global uniqueness of Stokes' wave of extreme form(Dagstuhl Seminar : Algebraic and Numerical Algorithms and Computer-assisted Proofs)
2005.09Schloss Dagstuhl, Wadern, Germany
17.On the global uniqueness of Stokes' wave of extreme form(COE Workshop on Numerical Analysis)
2005.05Kyushu University
18.Numerical Verification of the Global Uniqueness of a Positive Solution for Nekrasov's Equation(11th GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics (SCAN 2004))
2004.10Nishitetsu Grand Hotel, Fukuoka
19.A Numerical Verification Method for the Global Uniqueness of a Positive Solution for Nekrasov's Equation(The 5th International Congress on Industrial and Applied Mathematics(ICIAM 2003))
2003.07Sydney Convention and Exhibition Centre, Sydney, Australia

Scientific Research Funds Results

NOResearch subjectResearch itemYear
1.Research on high accuracy computing and numerical verification for Finite Element Method solution in a non-convex domain
Link
Young Scientists (B)2007-2009
2.Researches on the high-accurate computation and numerical verification for the solution of the partial differential equation with singularity
Link
Young Scientists (B)2010-2012
3.
Link
Scientific Research (C)2013-2015
4.
Scientific Research (B)2016-2019
5.
Scientific Research (B)2020-
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