2 citations · 2 across the 8 of their papers we have counts for
Showing 2026Show all
3 papers · 1 filter
math.OC2026
A restart-free accelerated algorithm for nonconvex minimization: continuous- and discrete-time analysis
Kansei Ushiyama, Shun Sato
We propose two deterministic momentum-based first-order methods for minimizing lower-bounded nonconvex functions with Lipschitz-continuous gradients and Hessians. Both methods atta…
math.NA2026
Structural Inconsistency and Stability Classification of Multi-symplectic Diamond Schemes
Kaito Sato, Shun Sato, Takayasu Matsuo
Multi-symplectic diamond schemes proposed by McLachlan and Wilkins (2015) provide a framework for the numerical integration of Hamiltonian partial differential equations, combining…
math.NA2026
A Mathematical Analysis of a Smooth-Convex-Concave Splitting Scheme for the Swift--Hohenberg Equation
Yuki Yonekura, Daiki Iwade, Shun Sato +1
The Swift--Hohenberg equation is a widely studied fourth-order model, originally proposed to describe hydrodynamic fluctuations. It admits an energy-dissipation law and, under suit…