An energy-preserving exponentially-fitted continuous stage Runge–Kutta method for Hamiltonian systems Y Miyatake BIT Numerical Mathematics 54, 777-799, 2014 | 65 | 2014 |
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 | 59 | 2016 |
Conservative finite difference schemes for the Degasperis–Procesi equation Y Miyatake, T Matsuo Journal of Computational and Applied Mathematics 236 (15), 3728-3740, 2012 | 38 | 2012 |
A derivation of energy-preserving exponentially-fitted integrators for Poisson systems Y Miyatake Computer Physics Communications 187, 156-161, 2015 | 23 | 2015 |
Symplectic adjoint method for exact gradient of neural ODE with minimal memory T Matsubara, Y Miyatake, T Yaguchi Advances in Neural Information Processing Systems 34, 20772-20784, 2021 | 22 | 2021 |
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 | 22 | 2019 |
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 | 22 | 2012 |
Estimation of ordinary differential equation models with discretization error quantification T Matsuda, Y Miyatake SIAM/ASA Journal on Uncertainty Quantification 9 (1), 302-331, 2021 | 21 | 2021 |
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 | 19 | 2018 |
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 | 15 | 2014 |
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 | 14 | 2020 |
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 | 14 | 2018 |
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 | 12 | 2012 |
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 | 12 | 2012 |
Adjoint-based exact Hessian computation S Ito, T Matsuda, Y Miyatake BIT Numerical Mathematics 61 (2), 503-522, 2021 | 11* | 2021 |
Generalization of partitioned Runge–Kutta methods for adjoint systems T Matsuda, Y Miyatake Journal of Computational and Applied Mathematics 388, 113308, 2021 | 10 | 2021 |
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 | 9 | 2018 |
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 | 9 | 2015 |
A fully discrete curve-shortening polygonal evolution law for moving boundary problems K Sakakibara, Y Miyatake Journal of Computational Physics 424, 109857, 2021 | 8 | 2021 |
Geometric numerical integrators for Hunter–Saxton-like equations Y Miyatake, D Cohen, D Furihata, T Matsuo Japan Journal of Industrial and Applied Mathematics 34, 441-472, 2017 | 8 | 2017 |