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Structure-preserving numerical methods for constrained gradient flows of planar closed curves with explicit tangential velocities
Tomoya Kemmochi, Yuto Miyatake, Koya Sakakibara
Japan Journal of Industrial and Applied Mathematics 2024/12/27 Research paper (scientific journal)
Publisher: Springer Science and Business Media LLC
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Structure-Preserving Physics-Informed Neural Networks with Energy or Lyapunov Structure
Haoyu Chu, Yuto Miyatake, Wenjun Cui, Shikui Wei, Daisuke Furihata
Proceedings of the Thirty-ThirdInternational Joint Conference on Artificial Intelligence p. 3872-3880 2024/08 Research paper (international conference proceedings)
Publisher: International Joint Conferences on Artificial Intelligence Organization
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Lyapunov-Stable Deep Equilibrium Models
Haoyu Chu, Shikui Wei, Ting Liu, Yao Zhao, Yuto Miyatake
Proceedings of the AAAI Conference on Artificial Intelligence Vol. 38 No. 10 p. 11615-11623 2024/03/25 Research paper (international conference proceedings)
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Adaptive projected SOR algorithms for nonnegative quadratic programming
Yuto Miyatake, Tomohiro Sogabe
Japan Journal of Industrial and Applied Mathematics 2024 Research paper (scientific journal)
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A new family of fourth-order energy-preserving integrators
Yuto Miyatake
Numerical Algorithms 2024 Research paper (scientific journal)
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Modelling the discretization error of initial value problems using the Wishart distribution
Naoki Marumo, Takeru Matsuda, Yuto Miyatake
Applied Mathematics Letters Vol. 147 2024/01 Research paper (scientific journal)
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A modified model for topic detection from a corpus and a new metric evaluating the understandability of topics
Kitano Tomoya, Miyatake Yuto, Furihata Daisuke
JSIAM Letters Vol. 15 p. 121-124 2023/12
Publisher: The Japan Society for Industrial and Applied Mathematics
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High-order linearly implicit schemes conserving quadratic invariants
Shun Sato, Yuto Miyatake, John C. Butcher
APPLIED NUMERICAL MATHEMATICS Vol. 187 p. 71-88 2023/05 Research paper (scientific journal)
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The Symplectic Adjoint Method: Memory-Efficient Backpropagation of Neural-Network-Based Differential Equations
Takashi Matsubara, Yuto Miyatake, Takaharu Yaguchi
IEEE Transactions on Neural Networks and Learning Systems p. 1-13 2023 Research paper (scientific journal)
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
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Composing a surrogate observation operator for sequential data assimilation
Kosuke Akita, Yuto Miyatake, Daisuke Furihata
JSIAM Letters Vol. 14 p. 123-126 2022 Research paper (scientific journal)
Publisher: The Japan Society for Industrial and Applied Mathematics
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Adjoint-based exact Hessian computation
Shin-ichi Ito, Takeru Matsuda, Yuto Miyatake
BIT Numerical Mathematics Vol. 61 No. 2 p. 503-522 2021/02/17 Research paper (scientific journal)
Publisher: Springer Science and Business Media {LLC}
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Generalization of partitioned Runge–Kutta methods for adjoint systems
Matsuda, T., Miyatake, Y.
Journal of Computational and Applied Mathematics Vol. 388 2021 Research paper (scientific journal)
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A fully discrete curve-shortening polygonal evolution law for moving boundary problems
Koya Sakakibara, Yuto Miyatake
Journal of Computational Physics Vol. 424 p. 109857-109857 2021/01 Research paper (scientific journal)
Publisher: Elsevier {BV}
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Estimation of Ordinary Differential Equation Models with Discretization Error Quantification
Takeru Matsuda, Yuto Miyatake
SIAM/ASA Journal on Uncertainty Quantification 2021/01 Research paper (scientific journal)
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Computing the matrix fractional power with the double exponential formula
Fuminori Tatsuoka, Tomohiro Sogabe, Yuto Miyatake, Tomoya Kemmochi, Shao-Liang Zhang
ETNA - Electronic Transactions on Numerical Analysis Vol. 54 p. 558-580 2020/12/03 Research paper (scientific journal)
Publisher: Osterreichische Akademie der Wissenschaften
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Algorithms for the computation of the matrix logarithm based on the double exponential formula
Fuminori Tatsuoka, Tomohiro Sogabe, Yuto Miyatake, Shao Liang Zhang
Journal of Computational and Applied Mathematics Vol. 373 2020/08/01 Research paper (scientific journal)
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A parallelizable energy-preserving integrator MB4 and its application to quantum-mechanical wavepacket dynamics
Yuto Miyatake
Japan Journal of Industrial and Applied Mathematics 2020/07/22 Research paper (scientific journal)
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Adaptive SOR methods based on the Wolfe conditions
Yuto Miyatake, Tomohiro Sogabe, Shao Liang Zhang
Numerical Algorithms Vol. 84 No. 1 p. 117-132 2020/05/01 Research paper (scientific journal)
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Relation between the T-congruence Sylvester equation and the generalized Sylvester equation
Yuki Satake, Masaya Oozawa, Tomohiro Sogabe, Yuto Miyatake, Tomoya Kemmochi, Shao-Liang Zhang
Applied Mathematics Letters Vol. 96 2019/10 Research paper (scientific journal)
Publisher: Elsevier {BV}
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Modified Strang splitting for semilinear parabolic problems.
Kosuke Nakano, Tomoya Kemmochi, Yuto Miyatake, Tomohiro Sogabe, Shao-Liang Zhang
CoRR Vol. abs/1910.06525 p. 77-80 2019 Research paper (scientific journal)
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A structure-preserving fourier pseudo-spectral linearly implicit scheme for the space-fractional nonlinear schrödinger equation
Yuto Miyatake, Tai Nakagawa, Tomohiro Sogabe, Shao Liang Zhang
Journal of Computational Dynamics Vol. 6 No. 2 p. 361-383 2019 Research paper (scientific journal)
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Structure-preserving model reduction for dynamical systems with a first integral
Yuto Miyatake
Japan Journal of Industrial and Applied Mathematics 2019/01/01
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On Computing the k-th Singular Triplet
Lee Dongjin, 曽我部知広, 宮武勇登, Zhang Shao-Liang
日本応用数理学会論文誌(Web) Vol. 29 No. 1 2019
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On the equivalence between SOR-type methods for linear systems and the discrete gradient methods for gradient systems
Yuto Miyatake, Tomohiro Sogabe, Shao Liang Zhang
Journal of Computational and Applied Mathematics Vol. 342 p. 58-69 2018/11 Research paper (scientific journal)
Publisher: Elsevier {BV}
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Solution of the k-th eigenvalue problem in large-scale electronic structure calculations
Dongjin Lee, Takeo Hoshi, Tomohiro Sogabe, Yuto Miyatake, Shao Liang Zhang
Journal of Computational Physics Vol. 371 p. 618-632 2018/10/15 Research paper (scientific journal)
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Continuous Stage Runge‐Kutta Methods and Their Structure‐Preservation Properties
宮武勇登
応用数理 Vol. 28 No. 3 2018/09/26
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On a relationship between the T-congruence Sylvester equation and the Lyapunov equation
Masaya Oozawa, Tomohiro Sogabe, Yuto Miyatake, Shao-Liang Zhang
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Vol. 329 p. 51-56 2018/02 Research paper (scientific journal)
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A Note on Computing the Matrix Fractional Power Using the Double Exponential Formula
立岡文理, 曽我部知広, 宮武勇登, Zhang Shao-Liang
日本応用数理学会論文誌(Web) Vol. 28 No. 3 2018
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Geometric numerical integrators for Hunter-Saxton-like equations
Yuto Miyatake, David Cohen, Daisuke Furihata, Takayasu Matsuo
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS Vol. 34 No. 2 p. 441-472 2017/08 Research paper (scientific journal)
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The discrete gradient method for differential equations can be a generator of linear solvers
Y. Miyatake, T. Sogabe, S.-L. Zhang
Trans. Jpn. Soc. Ind. Appl. Math. Vol. 27 No. 3 p. 239-249 2017 Research paper (scientific journal)
Publisher: The Japan Society for Industrial and Applied Mathematics
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Energy-preserving $H^1$-Galerkin schemes for the Hunter--Saxton equation
Yuto Miyatake, Geonsik Eom, Tomohiro Sogabe, Shao-Liang Zhang
Journal of Mathematical Research with Applications Vol. 37 p. 107-118 2017 Research paper (scientific journal)
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A cost-efficient variant of the incremental Newton iteration for the matrix $p$th root
Fuminori Tatsuoka, Tomohiro Sogabe, Yuto Miyatake, Shao-Liang Zhang
Journal of Mathematical Research with Applications No. 37 p. 97-106 2016/11 Research paper (scientific journal)
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A CHARACTERIZATION OF ENERGY-PRESERVING METHODS AND THE CONSTRUCTION OF PARALLEL INTEGRATORS FOR HAMILTONIAN SYSTEMS
Yuto Miyatake, John C. Butcher
SIAM JOURNAL ON NUMERICAL ANALYSIS Vol. 54 No. 3 p. 1993-2013 2016 Research paper (scientific journal)
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A LOCAL DISCONTINUOUS GALERKIN METHOD BASED ON VARIATIONAL STRUCTURE
Yoshifumi Aimoto, Takayasu Matsuo, Yuto Miyatake
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S Vol. 8 No. 5 p. 817-832 2015/10 Research paper (scientific journal)
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A derivation of energy-preserving exponentially-fitted integrators for Poisson systems
Yuto Miyatake
COMPUTER PHYSICS COMMUNICATIONS Vol. 187 p. 156-161 2015/02 Research paper (scientific journal)
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A Fourth-order Energy-preserving Exponentially-fitted Integrator for Poisson Systems
Yuto Miyatake
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014) Vol. 1648 2015 Research paper (international conference proceedings)
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A note on the adaptive conservative/dissipative discretization for evolutionary partial differential equations
Yuto Miyatake, Takayasu Matsuo
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Vol. 274 p. 79-87 2015/01 Research paper (scientific journal)
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A general framework for finding energy dissipative/conservative -Galerkin schemes and their underlying -weak forms for nonlinear evolution equations
Yuto Miyatake, Takayasu Matsuo
BIT NUMERICAL MATHEMATICS Vol. 54 No. 4 p. 1119-1154 2014/12 Research paper (scientific journal)
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An energy-preserving exponentially-fitted continuous stage Runge-Kutta method for Hamiltonian systems
Yuto Miyatake
BIT NUMERICAL MATHEMATICS Vol. 54 No. 3 p. 777-799 2014/09 Research paper (scientific journal)
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Structure-Preserving Numerical Methods for Differential Equations(Survey,<Special Topics>Activity Group "Scientific Computation and Numerical Analysis")
Matsuo Takayasu, Miyatake Yuto
Transactions of the Japan Society for Industrial and Applied Mathematics Vol. 22 No. 3 p. 213-251 2012/09
Publisher: 一般社団法人日本応用数理学会
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Conservative finite difference schemes for the Degasperis-Procesi equation
Yuto Miyatake, Takayasu Matsuo
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Vol. 236 No. 15 p. 3728-3740 2012/09 Research paper (scientific journal)
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Energy-preserving H-1-Galerkin schemes for shallow water wave equations with peakon solutions
Yuto Miyatake, Takayasu Matsuo
PHYSICS LETTERS A Vol. 376 No. 40-41 p. 2633-2639 2012/08 Research paper (scientific journal)
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Numerical integration of the Ostrovsky equation based on its geometric structures
Yuto Miyatake, Takaharu Yaguchi, Takayasu Matsuo
JOURNAL OF COMPUTATIONAL PHYSICS Vol. 231 No. 14 p. 4542-4559 2012/05 Research paper (scientific journal)
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Energy Conservative/Dissipative H-1-Galerkin Semi-Discretizations for Partial Differential Equations
Yuto Miyatake, Takayasu Matsuo
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B Vol. 1479 No. 1 p. 1268-1271 2012 Research paper (international conference proceedings)
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Invariants-preserving integration of the modified Camassa-Holm equation
Yuto Miyatake, Takayasu Matsuo, Daisuke Furihata
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS Vol. 28 No. 3 p. 351-381 2011 Research paper (scientific journal)
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Conservative finite difference schemes for the modified Camassa-Holm equation
MIYATAKE Yuto, MATSUO Takayasu, FURIHATA Daisuke
JSIAM Lett (Web) Vol. 3 p. 37-40 (J-STAGE)-40 2011
Publisher: The Japan Society for Industrial and Applied Mathematics
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A multi-symplectic integration of the Ostrovsky equation
MIYATAKE Yuto, YAGUCHI Takaharu, MATSUO Takayasu
JSIAM Lett (Web) Vol. 3 p. 41-44 (J-STAGE)-44 2011
Publisher: The Japan Society for Industrial and Applied Mathematics
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Conservative Finite Difference Schemes for the Degasperis-Procesi Equation(Theory)
Miyatake Yuto, Matsuo Takayasu
Transactions of the Japan Society for Industrial and Applied Mathematics Vol. 20 No. 4 p. 219-239 2010/12
Publisher: 一般社団法人日本応用数理学会