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ORCIDTakuya Tsuchiya
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2020 – today
- 2024
[i12]Kenta Kobayashi, Takuya Tsuchiya:
Error estimation for finite element method on meshes that contain thin elements. CoRR abs/2402.18860 (2024)- [i11]Hidetomo Hoshino, Takuya Tsuchiya, Gen Yoneda:
Stability analysis and improvement of the covariant BSSN formulation against the FLRW spacetime background. CoRR abs/2407.14305 (2024) - 2023
- [j12]Takuya Tsuchiya, Makoto Nakamura:
Numerical accuracy and stability of semilinear Klein-Gordon equation in de Sitter spacetime. JSIAM Lett. 15: 45-48 (2023) - 2022
- [j11]Takuya Tsuchiya, Ryosuke Urakawa, Gen Yoneda:
Stable numerical simulation of Einstein equations in gravitational collapse space-time. JSIAM Lett. 14: 84-87 (2022) - [i10]Takuya Tsuchiya, Makoto Nakamura:
Numerical simulations of semi-linear Klein-Gordon equations in the de Sitter spacetime with structure preserving scheme. CoRR abs/2203.09074 (2022) - [i9]Takuya Tsuchiya, Makoto Nakamura:
Numerical accuracy and stability of semilinear Klein-Gordon equation in de Sitter spacetime. CoRR abs/2211.09031 (2022) - 2021
- [j10]Hiroki Ishizaka, Kenta Kobayashi, Ryo Suzuki, Takuya Tsuchiya
:
A new geometric condition equivalent to the maximum angle condition for tetrahedrons. Comput. Math. Appl. 99: 323-328 (2021) - [i8]Hiroki Ishizaka, Kenta Kobayashi, Ryo Suzuki, Takuya Tsuchiya:
A new geometric condition equivalent to the maximum angle condition for tetrahedrons. CoRR abs/2102.04767 (2021) - [i7]Kenta Kobayashi, Takuya Tsuchiya:
Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption, Part 2: Lagrange interpolation on tetrahedrons. CoRR abs/2103.08101 (2021) - [i6]Hiroki Ishizaka, Kenta Kobayashi, Takuya Tsuchiya:
General theory of interpolation error estimates on anisotropic meshes, part II. CoRR abs/2106.03339 (2021) - 2020
- [j9]Aymeric Grodet, Takuya Tsuchiya:
Reorganizing topologies of Steiner trees to accelerate their eliminations. Discret. Math. Algorithms Appl. 12(1): 2050003:1-2050003:21 (2020) - [j8]Kenta Kobayashi, Takuya Tsuchiya:
Error analysis of Lagrange interpolation on tetrahedrons. J. Approx. Theory 249 (2020) - [i5]Hiroki Ishizaka, Kenta Kobayashi, Takuya Tsuchiya:
General theory of interpolation error estimates on anisotropic meshes. CoRR abs/2002.09721 (2020) - [i4]Hiroki Ishizaka, Kenta Kobayashi, Takuya Tsuchiya:
Crouzeix-Raviart and Raviart-Thomas finite-element error analysis on anisotropic meshes violating the maximum-angle condition. CoRR abs/2006.00631 (2020) - [i3]Takahito Kashiwabara, Takuya Tsuchiya:
A robust discontinuous Galerkin scheme on anisotropic meshes. CoRR abs/2010.09312 (2020)
2010 – 2019
- 2019
- [j7]Takuya Tsuchiya, Makoto Nakamura:
On the numerical experiments of the Cauchy problem for semi-linear Klein-Gordon equations in the de Sitter spacetime. J. Comput. Appl. Math. 361: 396-412 (2019) - [j6]Ryosuke Urakawa, Takuya Tsuchiya, Gen Yoneda:
Analyzing time evolution of constraint equations of Einstein's equation. JSIAM Lett. 11: 21-24 (2019) - [i2]Kenta Kobayashi, Takuya Tsuchiya:
Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption and its applications to finite element methods, Part 1: two-dimensional Lagrange interpolation. CoRR abs/1908.03894 (2019) - 2017
- [j5]Takuya Tsuchiya, Gen Yoneda:
Constructing of constraint preserving scheme for Einstein equations. JSIAM Lett. 9: 57-60 (2017) - 2015
- [c1]Takuya Tsuchiya, Toshihiro Osaragi, Takuya Oki:
Influence of Information-Hearsay on Wide-Area Evacuation at a Large Earthquake. ISCRAM 2015 - [i1]Aymeric Grodet, Takuya Tsuchiya:
An adaptive algorithm for the Euclidean Steiner tree problem in d-space. CoRR abs/1511.03407 (2015)
2000 – 2009
- 2005
- [j4]Takashi Suzuki, Takuya Tsuchiya:
Convergence analysis of trial free boundary methods for the two-dimensional filtration problem. Numerische Mathematik 100(3): 537-564 (2005) - 2003
- [j3]Yuki Matsuzawa, Takashi Suzuki, Takuya Tsuchiya:
Finite element approximation of H - surfaces. Math. Comput. 72(242): 607-617 (2003) - [j2]Takuya Tsuchiya:
Precise finite element error analysis by Yamamoto's explicit inversion formula for tridiagonal matrices - an extension of Babuška-Osborn's theorems. Numerische Mathematik 94(3): 541-572 (2003)
1990 – 1999
- 1999
- [j1]Takuya Tsuchiya:
An application of the Kantorovich theoremto nonlinear finite element analysis. Numerische Mathematik 84(1): 121-141 (1999)
Coauthor Index
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