Yuto Miyatake
Yuto Miyatake
Associate Professor, Osaka University, Japan
Verified email at cas.cmc.osaka-u.ac.jp - Homepage
Title
Cited by
Cited by
Year
An energy-preserving exponentially-fitted continuous stage Runge–Kutta method for Hamiltonian systems
Y Miyatake
BIT Numerical Mathematics 54 (3), 777-799, 2014
392014
Conservative finite difference schemes for the Degasperis–Procesi equation
Y Miyatake, T Matsuo
Journal of Computational and Applied Mathematics 236 (15), 3728-3740, 2012
312012
A characterization of energy-preserving methods and the construction of parallel integrators for Hamiltonian systems
Y Miyatake, JC Butcher
SIAM Journal on Numerical Analysis 54 (3), 1993-2013, 2016
302016
Numerical integration of the Ostrovsky equation based on its geometric structures
Y Miyatake, T Yaguchi, T Matsuo
Journal of Computational Physics 231 (14), 4542-4559, 2012
182012
A general framework for finding energy dissipative/conservative -Galerkin schemes and their underlying -weak forms for nonlinear evolution equations
Y Miyatake, T Matsuo
BIT Numerical Mathematics 54 (4), 1119-1154, 2014
132014
A derivation of energy-preserving exponentially-fitted integrators for Poisson systems
Y Miyatake
Computer Physics Communications 187, 156-161, 2015
112015
微分方程式に対する構造保存数値解法 (サーベイ,< 特集> 科学技術計算と数値解析研究部会)
松尾宇泰, 宮武勇登
日本応用数理学会論文誌 22 (3), 213-251, 2012
92012
Invariants-preserving integration of the modified Camassa–Holm equation
Y Miyatake, T Matsuo, D Furihata
Japan journal of industrial and applied mathematics 28 (3), 351-381, 2011
92011
On the equivalence between SOR-type methods for linear systems and the discrete gradient methods for gradient systems
Y Miyatake, T Sogabe, SL Zhang
Journal of Computational and Applied Mathematics 342, 58-69, 2018
82018
Energy-preserving H1-Galerkin schemes for shallow water wave equations with peakon solutions
Y Miyatake, T Matsuo
Physics Letters A 376 (40-41), 2633-2639, 2012
82012
Solution of the k-th eigenvalue problem in large-scale electronic structure calculations
D Lee, T Hoshi, T Sogabe, Y Miyatake, SL Zhang
Journal of Computational Physics 371, 618-632, 2018
72018
A local discontinuous Galerkin method based on variational structure
Y Aimoto, T Matsuo, Y Miyatake
Discrete & Continuous Dynamical Systems-S 8 (5), 817, 2015
72015
A note on the adaptive conservative/dissipative discretization for evolutionary partial differential equations
Y Miyatake, T Matsuo
Journal of Computational and Applied Mathematics 274, 79-87, 2015
62015
Estimation of ordinary differential equation models with discretization error quantification
T Matsuda, Y Miyatake
arXiv preprint arXiv:1907.10565, 2019
52019
On a relationship between the T-congruence Sylvester equation and the Lyapunov equation
M Oozawa, T Sogabe, Y Miyatake, SL Zhang
Journal of Computational and Applied Mathematics 329, 51-56, 2018
52018
Geometric numerical integrators for Hunter–Saxton-like equations
Y Miyatake, D Cohen, D Furihata, T Matsuo
Japan Journal of Industrial and Applied Mathematics 34 (2), 441-472, 2017
52017
Algorithms for the computation of the matrix logarithm based on the double exponential formula
F Tatsuoka, T Sogabe, Y Miyatake, SL Zhang
Journal of Computational and Applied Mathematics 373, 112396, 2020
42020
Relation between the T-congruence Sylvester equation and the generalized Sylvester equation
Y Satake, M Oozawa, T Sogabe, Y Miyatake, T Kemmochi, SL Zhang
Applied Mathematics Letters 96, 7-13, 2019
42019
Structure-preserving model reduction for dynamical systems with a first integral
Y Miyatake
Japan Journal of Industrial and Applied Mathematics 36 (3), 1021-1037, 2019
42019
A structure-preserving Fourier pseudo-spectral linearly implicit scheme for the space-fractional nonlinear Schr\" odinger equation
Y Miyatake, T Nakagawa, T Sogabe, SL Zhang
arXiv preprint arXiv:1902.07925, 2019
42019
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Articles 1–20