2 papers
math.OC2026
A boosted second-order convex splitting algorithm based on gradient flows
Xinhua Shen, Zaijiu Shang, Hongpeng Sun
This paper introduces a second-order convex splitting scheme for gradient flows arising in phase-field models, based on the backward differentiation formula (BDF2) for the implicit…
math.OC2025
A preconditioned second-order convex splitting algorithm with extrapolation
Xinhua Shen, Hongpeng Sun
Nonconvex optimization problems are widespread in modern machine learning and data science. We introduce an extrapolation strategy into a class of preconditioned second-order conve…