Publications

Papers

  1. Computing the matrix fractional power based on the double exponential formula
    F. Tatsuoka, T. Sogabe, Y. Miyatake, T. Kemmochi, S.-L. Zhang
    submitted. [arXiv]
  2. Estimation of ordinary differential equation models with discretization error quantification
    T. Matsuda, Y. Miyatake
    to appear in SIAM/ASA J. Uncertain. Quantif. [arXiv]
  3. Adjoint-based exact Hessian computation
    S. Ito, T. Matsuda, Y. Miyatake,
    to appear in BIT Numer. Math. [arXiv]
  4. A parallelizable energy-preserving integrator MB4 and its application to quantum-mechanical wavepacket dynamics
    T. Sakai, S. Kudo, H. Imachi, Y. Miyatake, T. Hoshi, Y. Yamamoto
    to appear in Japan J. Indust. Appl. Math. [Journal Website] [arXiv]
  5. Generalization of partitioned Runge--Kutta methods for adjoint systems
    T. Matsuda, Y. Miyatake,
    J. Comput. Appl. Math. 388 (2021) 113308. [Journal Website] [arXiv]
  6. A fully discrete curve-shortening polygonal evolution law for moving boundary problems
    K. Sakakibara, Y. Miyatake,
    J. Comput. Phys. 424 (2021) 109857. [Journal Website] [arXiv]
  7. Adaptive SOR methods based on the Wolfe conditions
    Y. Miyatake, T. Sogabe, S.-L. Zhang
    Numer. Algorithms 84 (2020) 117-132. [Journal Website] [arXiv]
  8. Algorithms for the computation of the matrix logarithm based on the double exponential formula
    F. Tatsuoka, T. Sogabe, Y. Miyatake, S.-L. Zhang
    J. Comput. Appl. Math. 373 (2020) 112396. [Journal Website] [arXiv]
  9. Modified Strang splitting for semilinear parabolic problems
    K. Nakano, T. Kemmochi, Y. Miyatake, T. Sogabe, S.-L. Zhang
    JSIAM Lett. 11 (2019) 77-80. [Journal Website] [arXiv]
  10. A structure-preserving Fourier pseudo-spectral linearly implicit scheme for the space-fractional nonlinear Schrödinger equation
    Y. Miyatake, T. Nakagawa, T. Sogabe, S.-L. Zhang
    J. Comput. Dyn. 6 (2019) 361-383. [Journal Website] [arXiv]
  11. Structure-preserving model reduction for dynamical systems with a first integral
    Y. Miyatake
    Japan J. Indust. Appl. Math. 36 (2019) 1021-1037. [Journal Website] [arXiv]
  12. Relation between the T-congruence Sylvester equation and the generalized Sylvester equation
    Y. Satake, M. Oozawa, T. Sogabe, Y. Miyatake, T. Kemmochi, S.-L. Zhang
    Appl. Math. Lett. 96 (2019) 7-13. [Journal Website] [arXiv]
  13. On Computing the k-th Singular Triplet (in Japanese)
    D. Lee, T. Sogabe, Y. Miyatake, S.-L. Zhang
    Trans. Jpn. Soc. Ind. Appl. Math. 29 (2019) 121-140. [Journal Website]
    指定番目の特異値と特異ベクトルの計算について
    李 東珍,曽我部 知広,宮武 勇登,張 紹良
    日本応用数理学会論文誌 29 (2019) 121-140. [J-STAGE]
  14. A note on computing the matrix fractional power using the double exponential formula (in Japanese)
    F. Tatsuoka, T. Sogabe, Y. Miyatake, S.-L. Zhang
    Trans. Jpn. Soc. Ind. Appl. Math. 28 (2018) 142-161. [Journal Website]
    二重指数型数値積分公式を用いた行列実数乗の計算
    立岡 文理,曽我部 知広,宮武 勇登,張 紹良
    日本応用数理学会論文誌 28 (2018) 142-161. [J-STAGE]
  15. 無段式Runge-Kutta法の構造保存数値解法としての側面
    宮武 勇登
    応用数理, 28 (2018), 15-22. [J-STAGE]
  16. Solution of the k-th eigenvalue problem in large-scale electronic structure calculations
    D. Lee, T. Hoshi, T. Sogabe, Y. Miyatake, S.-L. Zhang
    J. Comput. Phys. 371 (2018), 618-632. [Journal Website][arXiv]
  17. On the equivalence between SOR-type methods for linear systems and discrete gradient methods for gradient systems
    Y. Miyatake, T. Sogabe, S.-L. Zhang
    J. Comput. Appl. Math. 342 (2018) 58-69. [Journal Website][arXiv]
  18. On a relationship between the T-congruence Sylvester equation and the Lyapunov equation
    M. Oozawa, T. Sogabe, Y. Miyatake, S.-L. Zhang
    J. Comput. Appl. Math. 329 (2018) 51-56. [Journal Website][arXiv]
  19. The discrete gradient method for differential equations can be a generator of linear solvers (in Japanese)
    Y. Miyatake, T. Sogabe, S.-L. Zhang
    Trans. Jpn. Soc. Ind. Appl. Math. 27 (2017) 239-249. [Journal Website]
    微分方程式に対する離散勾配法に基づく線形方程式の数値解法の生成
    宮武 勇登,曽我部 知広,張 紹良
    日本応用数理学会論文誌 27 (2017) 239-249. [J-STAGE]
  20. Geometric numerical integrators for Hunter-Saxton like equations
    Y. Miyatake, D. Cohen, D. Furihata, T. Matsuo
    Japan J. Indust. Appl. Math., 34 (2017) 441-472. [Journal Website][arXiv]
  21. Energy-preserving -Galerkin schemes for the Hunter–Saxton equation
    Y. Miyatake, G. Eom, T. Sogabe, S.-L. Zhang
    J. Math. Res. Appl., 37 (2017) 107-118. [Journal Website][arXiv]
  22. A cost-efficient variant of the incremental Newton iteration for the matrix pth root
    F. Tatsuoka, T. Sogabe, Y. Miyatake, S.-L. Zhang
    J. Math. Res. Appl., 37 (2017) 97-106. [Journal Website][arXiv]
  23. A characterization of energy-preserving methods and the construction of parallel integrators for Hamiltonian systems
    Y. Miyatake, J.C. Butcher
    SIAM J. Numer. Anal., 54 (2016) 1993-2013. [Journal Website][arXiv] [PDF]
  24. A local discontinuous Galerkin method based on variational structure
    Y. Aimoto, T. Matsuo, Y. Miyatake
    Discrete Contin. Dyn. Syst. Ser. S, 8 (2015) 817-832. [Journal Website]
  25. A derivation of energy-preserving exponentially-fitted integrators for Poisson systems
    Y. Miyatake
    Comput. Phys. Commun. 187 (2015) 156-161. [Journal Website]
  26. A note on the adaptive conservative/dissipative discretization for evolutionary partial differential equations
    Y. Miyatake, T. Matsuo
    J. Comput. Appl. Math. 274 (2015) 79-87. [Journal Website]
  27. A general framework for finding energy dissipative/conservative -Galerkin schemes and their underlying -weak forms for nonlinear evolution equations
    Y. Miyatake, T. Matsuo
    BIT Numer. Math. 54 (2014) 1119-1154. [Journal Website]
  28. An energy-preserving exponentially-fitted continuous stage Runge-Kutta method for Hamiltonian systems
    Y. Miyatake
    BIT Numer. Math. 54 (2014) 777-799. [Journal Website]
  29. Structure-preserving numerical methods for differential equations (in Japanese)
    T. Matsuo, Y. Miyatake
    Trans. Jpn. Soc. Ind. Appl. Math. 22 (2012) 213-251. [Journal Website]
    微分方程式に対する構造保存数値解法
    松尾 宇泰,宮武 勇登
    日本応用数理学会論文誌 22 (2012) 213-251. [J-STAGE]
  30. Energy-preserving H1-Galerkin schemes for shallow water wave equations with peakon solutions
    Y. Miyatake, T. Matsuo
    Phys. Lett. A 376 (2012) 2633-2639. [Journal Website]
  31. Conservative finite difference schemes for the Degasperis-Procesi equation
    Y. Miyatake, T. Matsuo
    J. Comput. Appl. Math. 236 (2012) 3728-3740. [Journal Website]
  32. Numerical integration of the Ostrovsky equation based on its geometric structures
    Y. Miyatake, T. Yaguchi, T. Matsuo
    J. Comput. Phys. 231 (2012) 4542-4559. [Journal Website]
  33. Invariants preserving integration of the modified Camassa-Holm equation
    Y. Miyatake, T. Matsuo, D. Furihara
    Japan J. Indust. Appl. Math. 28 (2011) 351-381. [Journal Website]
  34. A multi-symplectic integration of the Ostrovsky equation
    Y. Miyatake, T. Yaguchi, T. Matsuo
    JSIAM Letters 3 (2011) 41-44. [Journal Website]
  35. Conservative finite difference schemes for the modified Camassa-Holm equation
    Y. Miyatake, T. Matsuo, D. Furihata
    JSIAM Letters 3 (2011) 37-40. [Journal Website]
  36. Conservative finite difference schemes for the Degasperis-Procesi equation (in Japanese)
    Y. Miyatake, T. Matsuo
    Trans. Jpn. Soc. Ind. Appl. Math. 20 (2010) 219-239. [Journal Website]
    Degasperis-Procesi方程式に対する保存則を保つ差分スキーム
    宮武 勇登,松尾 宇泰
    日本応用数理学会論文誌 20 (2010) 219-239. [J-STAGE]

Papers (not refereed), proceedings, etc.

  1. 長時間積分用のエネルギー保存解法
    宮武 勇登
    数理解析研究所講究録, 1995, 48-56 (2016). [Journal Website]
  2. A fourth-order energy-preserving exponentially-fitted integrator for Poisson systems
    Y. Miyatake
    Proceedings of ICNAAM 2014 in AIP Conference Proceedings, 1648 (2015) 180004(1-4). [Journal Website]
  3. Energy conservative/dissipative -Galerkin semi-discretizations for partial differential equations
    Y. Miyatake, T. Matsuo
    Proceedings of ICNAAM 2012 in AIP Conference Proceedings 1479 (2012) 1268-1271. [Journal Website]

Preprints

  1. Structure-preserving integrators for the Benjamin-type equations
    K. Kinugasa, Y. Miyatake, T. Matsuo, 2015. [arXiv]