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math.NA2026
Convergence of high-index saddle dynamics for degenerate saddle points on critical manifolds
Tao Luo, Jianyuan Yin, Lei Zhang +1
The high-index saddle dynamics (HiSD) method provides a powerful framework for finding saddle points and constructing solution landscapes. While originally derived for nondegenerat…
math.NA2026
Optimal Error Estimates of a Linearized Backward Euler Localized Orthogonal Decomposition for the Landau-Lifshitz Equation
Zetao Ma, Rui Du, Lei Zhang
We introduce a novel spatial discretization technique for the reliable and efficient simulation of magnetization dynamics governed by the Landau-Lifshitz (LL) equation. The overall…