Follow
Takuma Kimura
Takuma Kimura
Verified email at cc.saga-u.ac.jp
Title
Cited by
Cited by
Year
Constructive a priori error estimates for a full discrete approximation of the heat equation
MT Nakao, T Kimura, T Kinoshita
SIAM Journal on Numerical Analysis 51 (3), 1525-1541, 2013
302013
On a posteriori estimates of inverse operators for linear parabolic initial-boundary value problems
MT Nakao, T Kinoshita, T Kimura
Computing 94, 151-162, 2012
252012
On the a posteriori estimates for inverse operators of linear parabolic equations with applications to the numerical enclosure of solutions for nonlinear problems
T Kinoshita, T Kimura, MT Nakao
Numerische Mathematik 126, 679-701, 2014
232014
A posteriori estimates of inverse operators for initial value problems in linear ordinary differential equations
T Kinoshita, T Kimura, MT Nakao
Journal of Computational and Applied Mathematics 236 (6), 1622-1636, 2011
162011
Some considerations of the invertibility verifications for linear elliptic operators
MT Nakao, Y Watanabe, T Kinoshita, T Kimura, N Yamamoto
Japan Journal of Industrial and Applied Mathematics 32, 19-31, 2015
112015
Kepler’s quartic curve as a model of planetary orbits
T Kimura, H Nakazato
International Mathematical Forum 3 (38), 1871-1877, 2008
82008
Validated solutions of saddle point linear systems
T Kimura, X Chen
SIAM journal on matrix analysis and applications 30 (4), 1697-1708, 2009
72009
Constructive error analysis of a full-discrete finite element method for the heat equation
K Hashimoto, T Kimura, T Minamoto, MT Nakao
Japan Journal of Industrial and Applied Mathematics 36, 777-790, 2019
52019
Constructive error estimates for full discrete approximation of periodic solution for heat equation
T Kimura, T Minamoto, MT Nakao
Journal of Computational and Applied Mathematics 368, 112510, 2020
32020
Kepler’s octic curve as a model of Mars’s orbit
T Kimura, H Nakazato
Far East Journal of Applied Mathematics 34, 21-30, 2009
32009
A method for verifying the accuracy of numerical solutions of symmetric saddle point linear systems
R Kobayashi, T Kimura, S Oishi
Numerical Algorithms 76, 33-51, 2017
12017
Finite element surface fitting for bridge management
X Chen, T Kimura
International Journal of Information Technology & Decision Making 5 (04 …, 2006
12006
微分方程式とその有限要素近似に関連する精度保証付き数値計算法の発展と応用
拓馬木村
https://kaken.nii.ac.jp/ja/grant/KAKENHI-PROJECT-23K03232/, 2023
2023
Improvement of the Constructive A Priori Error Estimates for a Fully Discretized Periodic Solution of Heat Equation
T Kimura, T Minamoto, MT Nakao
Computational Methods in Applied Mathematics 22 (3), 631-647, 2022
2022
偏微分方程式と有限要素近似に関する精度保証付き数値計算法の発展とその自動化の研究
拓馬木村
https://kaken.nii.ac.jp/ja/grant/KAKENHI-PROJECT-20K03752/, 2020
2020
発展方程式の解に対する指数関数行列を用いた精度保証付き数値計算法
拓馬木村
https://kaken.nii.ac.jp/ja/grant/KAKENHI-PROJECT-17K17948/, 2017
2017
Optimal order constructive a priori error estimates for a full discrete approximation of the heat equation
T Kimura, T Minamoto, MT Nakao
Reliable Computing 25, 203, 2017
2017
A method of verified computation for convex programming
R Kobayashi, T Kimura, S Oishi
SCAN 2016, 121, 2016
2016
最適化問題に関連する精度保証付き数値計算法について
木村拓馬
第 28 回 RAMP シンポジウム論文集, 57-66, 2016
2016
非線形最小化問題に関連する精度保証付き数値計算法の研究
拓馬木村
https://kaken.nii.ac.jp/ja/grant/KAKENHI-PROJECT-26870646/, 2014
2014
The system can't perform the operation now. Try again later.
Articles 1–20