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Yuto Miyatake

Observed name: Miyatake, Yuto
ORCID: 0000-0002-5742-6251
Observed ORCID: 0000-0002-5742-6251
OpenAlex ID: A5007645171
An energy-preserving exponentially-fitted continuous stage Runge–Kutta method for Hamiltonian systems
2014 · Yuto Miyatake · BIT Numerical Mathematics · 60
A Characterization of Energy-Preserving Methods and the Construction of Parallel Integrators for Hamiltonian Systems
2016 · Yuto Miyatake, John C. Butcher · SIAM Journal on Numerical Analysis · 59
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Conservative finite difference schemes for the Degasperis–Procesi equation
2011 · Yuto Miyatake, Takayasu Matsuo · Journal of Computational and Applied Mathematics · 36
The Symplectic Adjoint Method: Memory-Efficient Backpropagation of Neural-Network-Based Differential Equations
2023 · Takashi Matsubara, Yuto Miyatake, et al. · IEEE Transactions on Neural Networks and Learning Systems · 24
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A derivation of energy-preserving exponentially-fitted integrators for Poisson systems
2014 · Yuto Miyatake · Computer Physics Communications · 24
Structure-preserving model reduction for dynamical systems with a first integral
2019 · Yuto Miyatake · Japan Journal of Industrial and Applied Mathematics · 19
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Algorithms for the computation of the matrix logarithm based on the double exponential formula
2019 · Fuminori Tatsuoka, Tomohiro Sogabe, et al. · Journal of Computational and Applied Mathematics · 17
On the equivalence between SOR-type methods for linear systems and the discrete gradient methods for gradient systems
2018 · Yuto Miyatake, Tomohiro Sogabe, et al. · Journal of Computational and Applied Mathematics · 16
Numerical integration of the Ostrovsky equation based on its geometric structures
2012 · Yuto Miyatake, Takaharu Yaguchi, et al. · Journal of Computational Physics · 16
Estimation of Ordinary Differential Equation Models with Discretization Error Quantification
2021 · Takeru Matsuda, Yuto Miyatake · SIAM/ASA Journal on Uncertainty Quantification · 15
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Geometric numerical integrators for Hunter–Saxton-like equations
2017 · Yuto Miyatake, David Cohen, et al. · Japan Journal of Industrial and Applied Mathematics · 14
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Computing the matrix fractional power with the double exponential formula
2021 · Fuminori Tatsuoka, Tomohiro Sogabe, et al. · ETNA - Electronic Transactions on Numerical Analysis · 13
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Solution of the k-th eigenvalue problem in large-scale electronic structure calculations
2018 · Dongjin Lee, Takeo Hoshi, et al. · Journal of Computational Physics · 13
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A general framework for finding energy dissipative/conservative $$H^1$$ H 1 -Galerkin schemes and their underlying $$H^1$$ H 1 -weak forms for nonlinear evolution equations
2014 · Yuto Miyatake, Takayasu Matsuo · BIT Numerical Mathematics · 12
Energy-preserving -Galerkin schemes for shallow water wave equations with peakon solutions
2012 · Yuto Miyatake, Takayasu Matsuo · Physics Letters A · 11
Lyapunov-Stable Deep Equilibrium Models
2024 · Haoyu Chu, Shikui Wei, et al. · Proceedings of the AAAI Conference on Artificial Intelligence · 9
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High-order linearly implicit schemes conserving quadratic invariants
2023 · Shun Sato, Yuto Miyatake, et al. · Applied Numerical Mathematics · 9
Adjoint-based exact Hessian computation
2021 · Shin-ichi Ito, Takeru Matsuda, et al. · BIT Numerical Mathematics · 9
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Generalization of partitioned Runge–Kutta methods for adjoint systems
2020 · Takeru Matsuda, Yuto Miyatake · Journal of Computational and Applied Mathematics · 9
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A fully discrete curve-shortening polygonal evolution law for moving boundary problems
2020 · Koya Sakakibara, Yuto Miyatake · Journal of Computational Physics · 9
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Adaptive SOR methods based on the Wolfe conditions
2019 · Yuto Miyatake, Tomohiro Sogabe, et al. · Numerical Algorithms · 9
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A note on the adaptive conservative/dissipative discretization for evolutionary partial differential equations
2014 · Yuto Miyatake, Takayasu Matsuo · Journal of Computational and Applied Mathematics · 7
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Structure-preserving numerical methods for constrained gradient flows of planar closed curves with explicit tangential velocities
2024 · Tomoya Kemmochi, Yuto Miyatake, et al. · Japan Journal of Industrial and Applied Mathematics · 6
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On a relationship between the T-congruence Sylvester equation and the Lyapunov equation
2017 · Masaya Oozawa, Tomohiro Sogabe, et al. · Journal of Computational and Applied Mathematics · 6
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Invariants-preserving integration of the modified Camassa–Holm equation
2011 · Yuto Miyatake, Takayasu Matsuo, et al. · Japan Journal of Industrial and Applied Mathematics · 6
Works count: 60
Citation count: 473
H-index: 13
I10-index: 15
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