3 papers
astro-ph.GA2026
The Most Dangerous Seed: Nonlinear Optimal Perturbations in Rayleigh-Taylor Instability
Suoqing Ji, Bin Shi
Long-term instabilities in astrophysical fluids are inherently nonlinear, where even small-amplitude perturbations can trigger dramatic instability. However, owing to the complex i…
math.OC2026
Modern Theory of Gradient-Based Optimization
Bin Shi
In this review, we offer a comprehensive survey of emerging techniques in gradient-based optimization, with a particular emphasis on the interplay between ordinary differential equ…
math.NA2026
Numerical Construction of Elliptic Lower-Dimensional Quasi-Periodic Solutions with a Priori Bound
Mingwei Fu, Bin Shi
A numerical framework for constructing full-dimensional quasi-periodic solutions in nearly integrable systems was recently developed by Fu and Shi[2026]. Based on an alternating sc…