フォロー
Shun Sato
タイトル
引用先
引用先
Linearly implicit structure-preserving schemes for Hamiltonian systems
S Eidnes, L Li, S Sato
Journal of Computational and Applied Mathematics 387, 112489, 2021
222021
A novel discrete variational derivative method using``average-difference methods''
D Furihata, S Sato, T Matsuo
JSIAM Letters 8, 81-84, 2016
142016
A Lyapunov-type theorem for dissipative numerical integrators with adaptive time-stepping
S Sato, T Matsuo, H Suzuki, D Furihata
SIAM Journal on Numerical Analysis 53 (6), 2505-2518, 2015
92015
Stability and convergence of a conservative finite difference scheme for the modified Hunter–Saxton equation
S Sato
BIT Numerical Mathematics 59 (1), 213-241, 2019
82019
Scalar auxiliary variable approach for conservative/dissipative partial differential equations with unbounded energy functionals
T Kemmochi, S Sato
BIT Numerical Mathematics 62 (3), 903-930, 2022
72022
Combinatorial relaxation algorithm for the entire sequence of the maximum degree of minors in mixed polynomial matrices
S Sato
JSIAM Letters 7, 49-52, 2015
52015
A Unified Discretization Framework for Differential Equation Approach with Lyapunov Arguments for Convex Optimization
K Ushiyama, S Sato, T Matsuo
Advances in Neural Information Processing Systems 36, 2024
42024
On spatial discretization of evolutionary differential equations on the periodic domain with a mixed derivative
S Sato, T Matsuo
Journal of Computational and Applied Mathematics 358, 221-240, 2019
42019
High-order linearly implicit schemes conserving quadratic invariants
S Sato, Y Miyatake, JC Butcher
Applied Numerical Mathematics 187, 71-88, 2023
32023
Combinatorial Relaxation Algorithm for the Entire Sequence of the Maximum Degree of Minors
S Sato
Algorithmica 77 (3), 815--835, 2016
32016
An analysis on the asymptotic behavior of multistep linearly implicit schemes for the Duffing equation
S Sato, T Matsuo, D Furihata
JSIAM Letters 7, 45-48, 2015
32015
Deriving efficient optimization methods based on stable explicit numerical methods
K Ushiyama, S Sato, T Matsuo
JSIAM Letters 14, 29-32, 2022
22022
Essential convergence rate of ordinary differential equations appearing in optimization
K Ushiyama, S Sato, T Matsuo
JSIAM Letters 14, 119-122, 2022
22022
A robust numerical integrator for the short pulse equation near criticality
S Sato, K Oguma, T Matsuo, BF Feng
Journal of Computational and Applied Mathematics 361, 343-365, 2019
22019
Linear gradient structures and discrete gradient methods for conservative/dissipative differential-algebraic equations
S Sato
BIT Numerical Mathematics 59 (4), 1063-1091, 2019
22019
Constructing invariant-preserving numerical schemes based on Poisson and Nambu brackets
Y Sugibuchi, T Matsuo, S Sato
JSIAM Letters 10, 53-56, 2018
22018
A self-adaptive moving mesh method for the short pulse equation via its hodograph link to the sine-Gordon equation
S Sato, K Oguma, T Matsuo, BF Feng
arXiv preprint arXiv:1607.05790, 2016
22016
A norm-preserving self-adaptive moving mesh integrator for the short pulse equation
S Sato, T Matsuo, BF Feng
数理解析研究所講究録, 82-91, 2016
22016
Properties and practicability of convergence-guaranteed optimization methods derived from weak discrete gradients
K Ushiyama, S Sato, T Matsuo
Numerical Algorithms, 1-32, 2024
2024
Mathematical analysis and numerical comparison of energy-conservative schemes for the Zakharov equations
S Kawai, S Sato, T Matsuo
arXiv preprint arXiv:2403.07336, 2024
2024
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