Conservative finite difference schemes for the modified Camassa-Holm equation. - Yuto Miyatake; Takayasu Matsuo; Daisuke Furihata (JSIAM Lett., 2011)

A multi-symplectic integration of the Ostrovsky equation. - Yuto Miyatake; Takaharu Yaguchi; Takayasu Matsuo (JSIAM Lett., 2011)

Conservative finite difference schemes for the Degasperis-Procesi equation. - Yuto Miyatake; Takayasu Matsuo (J. Comput. Appl. Math., 2012)

Numerical integration of the Ostrovsky equation based on its geometric structures. - Yuto Miyatake; Takaharu Yaguchi; Takayasu Matsuo (J. Comput. Phys., 2012)

A derivation of energy-preserving exponentially-fitted integrators for Poisson systems. - Yuto Miyatake (Comput. Phys. Commun., 2015)

A note on the adaptive conservative/dissipative discretization for evolutionary partial differential equations. - Yuto Miyatake; Takayasu Matsuo (J. Comput. Appl. Math., 2015)

A Characterization of Energy-Preserving Methods and the Construction of Parallel Integrators for Hamiltonian Systems. - Yuto Miyatake; John C. Butcher (SIAM J. Numer. Anal., 2016)

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 (J. Comput. Appl. Math., 2018)

On a relationship between the T-congruence Sylvester equation and the Lyapunov equation. - Masaya Oozawa; Tomohiro Sogabe; Yuto Miyatake; Shao-Liang Zhang (J. Comput. Appl. Math., 2018)

Solution of the k-th eigenvalue problem in large-scale electronic structure calculations. - Dongjin Lee; Takeo Hoshi; Tomohiro Sogabe; Yuto Miyatake; Shao-Liang Zhang (J. Comput. Phys., 2018)

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 (Appl. Math. Lett., 2019)

Adjoint-based exact Hessian-vector multiplication using symplectic Runge-Kutta methods. - Shin-Ichi Ito; Takeru Matsuda; Yuto Miyatake (CoRR, 2019)

Modified Strang splitting for semilinear parabolic problems. - Kosuke Nakano; Tomoya Kemmochi; Yuto Miyatake; Tomohiro Sogabe; Shao-Liang Zhang (JSIAM Lett., 2019)

Mid-infrared Non-volatile Compact Optical Phase Shifter Based on Ge2Sb2 Te5. - Yuto Miyatake; Chong Pei Ho; Prakash Pitchappa; Ranjan Singh; Kotaro Makino; Junji Tominaga; Noriyuki Miyata; Takashi Nakano; Naoki Sekine; Kasidit Toprasertpong; Shinichi Takagi; Mitsuru Takenaka (ECOC, 2020)

A Parallelizable Energy-Preserving Integrator MB4 and Its Application to Quantum-Mechanical Wavepacket Dynamics. - Tsubasa Sakai; Shuhei Kudo; Hiroto Imachi; Yuto Miyatake; Takeo Hoshi; Yusaku Yamamoto (CoRR, 2020)

Computing the matrix fractional power based on the double exponential formula. - Fuminori Tatsuoka; Tomohiro Sogabe; Yuto Miyatake; Tomoya Kemmochi; Shao-Liang Zhang (CoRR, 2020)

Algorithms for the computation of the matrix logarithm based on the double exponential formula. - Fuminori Tatsuoka; Tomohiro Sogabe; Yuto Miyatake; Shao-Liang Zhang (J. Comput. Appl. Math., 2020)

Adaptive SOR methods based on the Wolfe conditions. - Yuto Miyatake; Tomohiro Sogabe; Shao-Liang Zhang (Numer. Algorithms, 2020)

Symplectic Adjoint Method for Exact Gradient of Neural ODE with Minimal Memory. - Takashi Matsubara 001; Yuto Miyatake; Takaharu Yaguchi (NeurIPS, 2021)

Thermo-optic Mach-Zehnder Interferometer Integrated with Si PN Diode Switch for Bipolar Optical Phase Control. - Hanzhi Tang; Shuhei Ohno; Yuto Miyatake; Kasidit Toprasertpong; Shinichi Takagi; Mitsuru Takenaka (OFC, 2021)

Generalized nearly isotonic regression. - Takeru Matsuda; Yuto Miyatake (CoRR, 2021)

Adaptive projected SOR algorithms for nonnegative quadratic programming. - Yuto Miyatake; Tomohiro Sogabe (CoRR, 2021)

Generalization of partitioned Runge-Kutta methods for adjoint systems. - Takeru Matsuda; Yuto Miyatake (J. Comput. Appl. Math., 2021)

A fully discrete curve-shortening polygonal evolution law for moving boundary problems. - Koya Sakakibara; Yuto Miyatake (J. Comput. Phys., 2021)

Estimation of Ordinary Differential Equation Models with Discretization Error Quantification. - Takeru Matsuda; Yuto Miyatake (SIAM/ASA J. Uncertain. Quantification, 2021)

III-V/Si hybrid integration for scalable optical switching and computing. - Mitsuru Takenaka; Hanzhi Tang; Kouhei Watanabe; Takaya Ochiai; Tomohiro Akazawa; Yuto Miyatake; Shuhei Ohno; Kei Sumita; Stéphane Monfray; Frédéric Boeuf; Rui Tang; Kasidit Toprasertpong; et al. (OECC/PSC, 2022)

High-order linearly implicit schemes conserving quadratic invariants. - Shun Sato; Yuto Miyatake; John C. Butcher (CoRR, 2022)

Structure-preserving numerical methods for constrained gradient flows of planar closed curves with explicit tangential velocities. - Tomoya Kemmochi; Yuto Miyatake; Koya Sakakibara (CoRR, 2022)

Composing a surrogate observation operator for sequential data assimilation. - Kosuke Akita; Yuto Miyatake; Daisuke Furihata (JSIAM Lett., 2022)

A modified model for topic detection from a corpus and a new metric evaluating the understandability of topics. - Tomoya Kitano; Yuto Miyatake; Daisuke Furihata (JSIAM Lett., 2023)

Optical constants of Ge2Sb2Te3S2. - Yuto Miyatake; Kotaro Makino; Junji Tominaga; Noriyuki Miyata; Takashi Nakano; Makoto Okano; Kasidit Toprasertpong; Shinichi Takagi; Mitsuru Takenaka (IEEE DataPort, 2023)

Lyapunov-Stable Deep Equilibrium Models. - Haoyu Chu; Shikui Wei; Ting Liu 012; Yao Zhao 001; Yuto Miyatake (AAAI, 2024)

Structure-Preserving Physics-Informed Neural Networks with Energy or Lyapunov Structure. - Haoyu Chu; Yuto Miyatake; Wenjun Cui; Shikui Wei; Daisuke Furihata (IJCAI, 2024)

Error Distribution Estimation for Fixed-point Arithmetic using Program Derivatives. - Soramichi Akiyama; Ryota Shioya; Yuto Miyatake; Tongxin Yang (ISQED, 2024)

On the B-series composition theorem. - John C. Butcher; Taketomo Mitsui; Yuto Miyatake; Shun Sato (CoRR, 2024)

Quantifying uncertainty in the numerical integration of evolution equations based on Bayesian isotonic regression. - Yuto Miyatake; Kaoru Irie; Takeru Matsuda (CoRR, 2024)

Modelling the discretization error of initial value problems using the Wishart distribution. - Naoki Marumo; Takeru Matsuda; Yuto Miyatake (Appl. Math. Lett., 2024)

ANODE 2023 In honour of John Butcher's 90th birthday. - Kevin Burrage; Zdzislaw Jackiewicz; Bernd Krauskopf; Yuto Miyatake; Helmut Podhaisky; Mayya Tokman (Numer. Algorithms, 2024)

A new family of fourth-order energy-preserving integrators. - Yuto Miyatake (Numer. Algorithms, 2024)

The Symplectic Adjoint Method: Memory-Efficient Backpropagation of Neural-Network-Based Differential Equations. - Takashi Matsubara 001; Yuto Miyatake; Takaharu Yaguchi (IEEE Trans. Neural Networks Learn. Syst., 2024)