Detailed Information

Education

• 2009/03, Doctor Course, Completed

Employment Experience

• 2009/04 - 2010/03 Researcher
• 2010/04 - 2012/12 Researcher
• 2013/01 - 2017/03
• 2013/04 - 2017/03
• 2014/04 - 2015/03
• 2019/04 - 2020/08
• 2020/09 -  *  Associate Professor, Saga University

Awards

• EASIAM Student Paper Competition (First Prize) （2008/10）

Research Topics and Results

• Inclusion method of optimal constant with quadratic convergence for $H_0^1$-projection error estimates and its applications 2023/01

Original Articles

• Efficient Approaches for Verifying the Existence and Bound of Inverse of Linear Operators in Hilbert Spaces;　2023/01
  ANNOUNCEMENT INFO.;　Journal of Scientific Computing, 94
  AUTHOR;　Yoshitaka Watanabe, Takehiko Kinoshita, Mitsuhiro T. Nakao
  
• Inclusion method of optimal constant with quadratic convergence for $H_0^1$-projection error estimates and its applications;　2023/01
  ANNOUNCEMENT INFO.;　Journal of Computational and Applied Mathematics, 417, 114521
  AUTHOR;　Takehiko Kinoshita, Yoshitaka Watanabe, Nobito Yamamoto and Mitsuhiro T. Nakao
  
• On Some Convergence Properties for Finite Element Approximations to the Inverse of Linear Elliptic Operators;　2022/09
  ANNOUNCEMENT INFO.;　Acta Cybernetica
  AUTHOR;　Takehiko Kinoshita, Yoshitaka Watanabe, Mitsuhiro T. Nakao
  
• Numerical verification of solutions for nonlinear parabolic problems;　2020/06
  ANNOUNCEMENT INFO.;　Numerical Functional Analysis and Optimization, 41, 12, 1495--1514
  AUTHOR;　Kouji Hashimoto, Takehiko Kinoshita, Mitsuhiro T. Nakao
  
• Some lower bound estimates for resolvents of a compact operator on an infinite-dimensional Hilbert space;　2020
  ANNOUNCEMENT INFO.;　Journal of Computational and Applied Mathematics, 369, 112561
  AUTHOR;　Kinoshita, T. , Watanabe, Y. and Nakao, M. T.
  
• Some improvements of invertibility verifications for second-order linear elliptic operators;　2020
  ANNOUNCEMENT INFO.;　Applied Numerical Mathematics, 154, 36–46
  AUTHOR;　Watanabe, Y., Kinoshita, T. and Nakao, M. T.
  
• An alternative approach to norm bound computation for inverses of linear operators in Hilbert spaces;　2019
  ANNOUNCEMENT INFO.;　Journal of Differential Equations, 266, 9, 5431–5447
  AUTHOR;　Kinoshita, T. , Watanabe, Y. and Nakao, M. T.
  
• An improved method for verifying the existence and bounds of the inverse of second-order linear elliptic operators mapping to dual space;　2019
  ANNOUNCEMENT INFO.;　Japan Journal of Industrial and Applied Mathematics, 36, 2, 407–420
  AUTHOR;　Watanabe, Y., Kinoshita, T. and Nakao, M. T.
  
• Validated constructive error estimations for biharmonic problems;　2017
  ANNOUNCEMENT INFO.;　Reliable Computing, 25, 168–177
  AUTHOR;　Kinoshita, T. , Watanabe, Y. and Nakao, M. T.
  
• Some Remarks on the Rigorous Estimation of Inverse Linear Elliptic Operators;　2016
  ANNOUNCEMENT INFO.;　Lecture Notes in Computer Science, 9553, 225–235
  AUTHOR;　Kinoshita, T. , Watanabe, Y. and Nakao, M. T.
  
• $H^3$ and $H^4$ Regularities of the Poisson Equation on Polygonal Domains;　2016
  ANNOUNCEMENT INFO.;　Lecture Notes in Computer Science, 9582, 199–201
  AUTHOR;　Kinoshita, T. , Watanabe, Y. and Nakao, M. T.
  
• Some remarks on a priori estimates of highly regular solutions for the Poisson equation in polygonal domains;　2016
  ANNOUNCEMENT INFO.;　Japan Journal of Industrial and Applied Mathematics, 33, 3, 629–636
  AUTHOR;　Kinoshita, T. , Watanabe, Y., Yamamoto, N. and Nakao, M. T.
  
• Some considerations of the invertibility verifications for linear elliptic operators;　2015
  ANNOUNCEMENT INFO.;　Japan Journal of Industrial and Applied Mathematics, 32, 19–31
  AUTHOR;　Nakao, M. T., Watanabe, Y., Kinoshita, T. , Kimura, T. and Yamamoto, N.
  
• Recurrence relations of orthogonal polynomials in $H_0^1$ and $H_0^2$;　2015
  ANNOUNCEMENT INFO.;　Nonlinear Theory and Its Applications, 6, 3, 404–409
  AUTHOR;　Kinoshita, T. , Watanabe, Y. and Nakao, M. T.
  
• An improvement of the theorem of a posteriori estimates for inverse elliptic operators;　2014
  ANNOUNCEMENT INFO.;　Nonlinear Theory and Its Applications, 5, 1, 47–52
  AUTHOR;　Kinoshita, T. , Watanabe, Y. and Nakao, M. T.
  
• On the a posteriori estimates for inverse operators of linear parabolic equations with applications to the numerical enclosure of solutions for nonlinear problems;　2014
  ANNOUNCEMENT INFO.;　Numerische Mathematik, 126, 679–701
  AUTHOR;　Kinoshita, T. , Kimura, T. and Nakao, M. T.
  
• Some remarks on the instability of approximate solutions for ODEs;　2013
  ANNOUNCEMENT INFO.;　Nonlinear Theory and Its Applications, 4, 1, 80–87
  AUTHOR;　Kimura, T., Kinoshita, T. and Nakao, M. T.
  
• Constructive a priori error estimates for a full discrete approximation of the heat equation;　2013
  ANNOUNCEMENT INFO.;　SIAM Journal on Numerical Analysis, 51, 3, 1525–1541
  AUTHOR;　Nakao, M. T., Kimura, T. and Kinoshita, T.
  
• Some remarks on the optimal $L^2$ error estimates for the finite element method on the L-shaped domain;　2013
  ANNOUNCEMENT INFO.;　2013 10th International Conference on Information Technology: New Generations, 173–178
  AUTHOR;　Kinoshita, T. and Nakao, M. T.
  
• A posteriori estimates of inverse operators for boundary value problems in linear elliptic partial differential equations;　2013
  ANNOUNCEMENT INFO.;　Mathematics of Computation, 82, 1543–1557
  AUTHOR;　Watanabe, Y., Kinoshita, T. and Nakao, M. T.
  
• On a posteriori estimates of inverse operators for linear parabolic initial-boundary value problems;　2012
  ANNOUNCEMENT INFO.;　Computing, 94, 151–162
  AUTHOR;　Nakao, M. T., Kinoshita, T. and Kimura, T.
  
• A posteriori estimates of inverse operators for initial value problems in linear ordinary differential equations;　2011
  ANNOUNCEMENT INFO.;　Journal of Computational and Applied Mathematics, 236, 6, 1622–1636
  AUTHOR;　Kinoshita, T. , Kimura, T. and Nakao, M. T.
  
• On very accurate enclosure of the optimal constant in the a priori error estimates for $H_0^2$-projection;　2010
  ANNOUNCEMENT INFO.;　Journal of Computational and Applied Mathematics, 234, 2, 526–537
  AUTHOR;　Kinoshita, T. and Nakao, M. T.
  
• On the $L^2$ a priori error estimates to the finite element solution of elliptic problems with singular adjoint operator;　2009
  ANNOUNCEMENT INFO.;　Numerical Functional Analysis and Optimization, 30, 3-4, 289–305
  AUTHOR;　Kinoshita, T. , Hashimoto, K. and Nakao, M. T.
  
• On Verified Computations of the Optimal Constant in the a Priori Error Estimates for $H_0^2$-Projection;　2009
  ANNOUNCEMENT INFO.;　AIP Conference Proceedings, 1168, 926–929
  AUTHOR;　Nakao, M. T. and Kinoshita, T.
  
• On very accurate verification of solutions for boundary value problems by using spectral methods;　2009
  ANNOUNCEMENT INFO.;　JSIAM Letters, 1, 21–24
  AUTHOR;　Nakao, M. T. and Kinoshita, T.
  
• Some remarks on the behaviour of the finite element solution in nonsmooth domains;　2008
  ANNOUNCEMENT INFO.;　Applied Mathematics Letters, 21, 12, 1310–1314
  AUTHOR;　Nakao, M. T. and Kinoshita, T.