Research Papers

    Kenta Kobayashi and Takuya Tsuchiya, Extending Babuška-Aziz's theorem to higher-order Lagrange interpolation, Applications of Mathematics, Applications of Mathematics, Vol. 61 [2] (2016), pp.121-133.
    Kenta Kobayashi and Takuya Tsuchiya, A priori error estimates for Lagrange interpolation on triangles, Applications of Mathematics, Vol. 60 [5] (2015), pp.485-499.
    Kenta Kobayashi and Takeshi Ogita, Backward error bounds for 2x2 linear systems arising in the diagonal pivoting method, Nonlinear Theory and Its Applications, IEICE, Vol. 6 [3] (2015), pp.383-390.
    Kenta Kobayashi and Takuya Tsuchiya, On the circumradius condition for piecewise linear triangular elements, Japan Journal of Industrial and Applied Mathematics, Vol. 32 [1] (2015), pp.65-76.
    Kenta Kobayashi and Takuya Tsuchiya, A Babuška-Aziz type proof of the circumradius condition, Japan Journal of Industrial and Applied Mathematics, Vol. 31 [1] (2014), pp.193-210.
    Kenta Kobayashi, On the global uniqueness of Stokes' wave of extreme form, IMA Journal of Applied Mathematics, Vol. 75 [5] (2010), pp.647-675.
    Kenta Kobayashi, 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 [2/3] (2009), pp.493-516.
    Kenta Kobayashi, On the critical case of Okamoto's continuous non-differentiable functions, Proceedings of the Japan Academy, Series A, Vol.85 [8] (2009), pp.101-104.
    Mitsuhiro T. Nakao, Koji Hashimoto and Kenta Kobayashi, Verified numerical computation of solutions for the stationary Navier-Stokes equation in nonconvex polygonal domains, Hokkaido Mathematical Journal, Vol.36 [4] (2007), pp.777-799.
    Koji Hashimoto, Kenta Kobayashi and Mitsuhiro T. Nakao, Numerical verification methods for solutions of the free boundary problem, Numerical Functional Analysis and Optimization, Vol.26 [4/5] (2005), pp.523-542.
    Kenta Kobayashi, Numerical verification of the global uniqueness of a positive solution for Nekrasov's equation, Japan Journal of Industrial and Applied Mathematics, Vol.21 [2] (2004), pp.181-218.
    Kenta Kobayashi and Hisashi Okamoto, Uniqueness issues on permanent progressive water-waves, Journal of Nonlinear Mathematical Physics, Vol.11 [4] (2004), pp.472-479.
    Kenta Kobayashi, A remark on the fast Gauss transform, Publications of the Research Institute for Mathematical Sciences, Vol. 39 [4] (2003), pp.785-796.
    Kenta Kobayashi, Hisashi Okamoto and Jinghui Zhu, Numerical computation of water and solitary waves by the double exponential transform, Journal of Computational and Applied Mathematics, Vol.152 (2003), pp.229-241.

Proceedings

    Kenta Kobayashi, Computer-Assisted Uniqueness Proof for Stokes' Wave of Extreme Form, Nankai Series in Pure, Applied Mathematics and Theoretical Physics, Vol.10 (2013), pp.54-67.
    Naila-Al Mahmuda, Seiro Omata and Kenta Kobayashi, A method for portfolio evaluation based on linear expansion and its application to an empirical portfolio, Science reports of Kanazawa University, Vol.56 (2012), pp.15-34.