Shun Sato

Publication Activity (10 Years)

Years Active: 2015-2024
Publications (10 Years): 19

Top Topics

Differential Equations

Convergence Rate

Mathematical Analysis

Top Venues

J. Comput. Appl. Math.

Numer. Algorithms

Publications

Ryota Nozawa, Shun Sato, Takayasu Matsuo
A novel interpretation of Nesterov's acceleration via variable step-size linear multistep methods. CoRR (2024)
Shun Sato
Correction to: High-order linearly implicit exponential integrators conserving quadratic invariants with application to scalar auxiliary variable approach. Numer. Algorithms 96 (4) (2024)
Kansei Ushiyama, Shun Sato, Takayasu Matsuo
Properties and practicability of convergence-guaranteed optimization methods derived from weak discrete gradients. Numer. Algorithms 96 (3) (2024)
Shuto Kawai, Shun Sato, Takayasu Matsuo
Mathematical analysis and numerical comparison of energy-conservative schemes for the Zakharov equations. CoRR (2024)
Shun Sato
High-order linearly implicit exponential integrators conserving quadratic invariants with application to scalar auxiliary variable approach. Numer. Algorithms 96 (3) (2024)
Kansei Ushiyama, Shun Sato, Takayasu Matsuo
A Unified Discretization Framework for Differential Equation Approach with Lyapunov Arguments for Convex Optimization. NeurIPS (2023)
Kansei Ushiyama, Shun Sato, Takayasu Matsuo
A new unified framework for designing convex optimization methods with prescribed theoretical convergence estimates: A numerical analysis approach. CoRR (2023)
Shuto Kawai, Shun Sato, Takayasu Matsuo
Mathematical analysis of a conservative numerical scheme for the Ostrovsky equation. JSIAM Lett. 14 (2022)
Kansei Ushiyama, Shun Sato, Takayasu Matsuo
Deriving efficient optimization methods based on stable explicit numerical methods. JSIAM Lett. 14 (2022)
Kansei Ushiyama, Shun Sato, Takayasu Matsuo
Essential convergence rate of ordinary differential equations appearing in optimization. CoRR (2022)
Kansei Ushiyama, Shun Sato, Takayasu Matsuo
Essential convergence rate of ordinary differential equations appearing in optimization. JSIAM Lett. 14 (2022)
Sølve Eidnes, Lu Li, Shun Sato
Linearly implicit structure-preserving schemes for Hamiltonian systems. J. Comput. Appl. Math. 387 (2021)
Tatsuya Matsuoka, Shun Sato
Making Bidirected Graphs Strongly Connected. Algorithmica 82 (4) (2020)
Shun Sato, K. Oguma, Takayasu Matsuo, Bao-Feng Feng
A robust numerical integrator for the short pulse equation near criticality. J. Comput. Appl. Math. 361 (2019)
Shun Sato, Takayasu Matsuo
On spatial discretization of evolutionary differential equations on the periodic domain with a mixed derivative. J. Comput. Appl. Math. 358 (2019)
Yuya Sugibuchi, Takayasu Matsuo, Shun Sato
Constructing invariant-preserving numerical schemes based on Poisson and Nambu brackets. JSIAM Lett. 10 (2018)
Shun Sato
Combinatorial Relaxation Algorithm for the Entire Sequence of the Maximum Degree of Minors. Algorithmica 77 (3) (2017)
Tatsuya Matsuoka, Shun Sato
Making Bidirected Graphs Strongly Connected. CoRR (2017)
Daisuke Furihata, Shun Sato, Takayasu Matsuo
A novel discrete variational derivative method using "average-difference methods". JSIAM Lett. 8 (2016)
Shun Sato
Combinatorial relaxation algorithm for the entire sequence of the maximum degree of minors in mixed polynomial matrices. JSIAM Lett. 7 (2015)
Shun Sato, Takayasu Matsuo, Daisuke Furihata
An analysis on the asymptotic behavior of multistep linearly implicit schemes for the Duffing equation. JSIAM Lett. 7 (2015)
Shun Sato, Takayasu Matsuo, Hideyuki Suzuki, Daisuke Furihata
A Lyapunov-Type Theorem for Dissipative Numerical Integrators with Adaptive Time-Stepping. SIAM J. Numer. Anal. 53 (6) (2015)