most citedImproved high-index saddle dynamics for finding saddle points and solution landscape

1 citations · 1 across the 5 of their papers we have counts for

collaborators

6 papers

math.OC2026

Descent--Ascent Structure of Uniform Nondegeneracy

Hua Su, Lei Zhang, Jin Zhao

Classical models such as smooth strongly convex minimization and strongly convex--strongly concave optimization combine two types of curvature information: curvature remains unifor…

math.OC2026

First-Order Optimization under Uniform Nondegeneracy: Geometry, Computation, and Information

Hua Su, Lei Zhang, Jin Zhao

Strongly convex minimization and its natural indefinite extension to strongly convex--strongly concave minimax problems combine quantitative control of curvature with a prescribed…

math.NA2026

Computing Saddle Points in Stiff Problems via a Preconditioned High-index Saddle Dynamics Method

Bingzhang Huang, Hua Su, Lei Zhang +1

High-index saddle dynamics (HiSD) is an effective approach for computing saddle points of a prescribed Morse index and constructing solution landscapes for complex nonlinear system…

math.NA2026

SaddleScape V1.0: A Python Package for Constructing Solution Landscapes via High-index Saddle Dynamics

Yuyang Liu, Hua Su, Zixiang Xiao +2

We present SaddleScape V1.0, a Python software package designed for the exploration and construction of solution landscapes in complex systems. The package implements the High-inde…

math.NA2025

SPIKE: Stable Physics-Informed Kernel Evolution Method for Solving Hyperbolic Conservation Laws

Hua Su, Lei Zhang, Jin Zhao

We introduce the Stable Physics-Informed Kernel Evolution (SPIKE) method for numerical computation of inviscid hyperbolic conservation laws. SPIKE resolves a fundamental paradox: h…

math.NA2025★ 1 cited

Improved high-index saddle dynamics for finding saddle points and solution landscape

Hua Su, Haoran Wang, Lei Zhang +2

We present an improved high-index saddle dynamics (iHiSD) for finding saddle points and constructing solution landscapes, which is a crossover dynamics from gradient flow to tradit…