3 papers
math.NA2025
When surface evolution meets Fokker-Planck equation: a novel tangential velocity model for uniform parametrization
Jiangong Pan, Guozhi Dong, Hailong Guo +1
A common issue in simulating geometric evolution of surfaces is unexpected clustering of points that may cause numerical instability. We propose a novel artificial tangential veloc…
math.NA2025
Accelerated gradient flows for large bending deformations of nonlinear plates
Guozhi Dong, Hailong Guo, Shuo Yang
In this paper, we propose novel algorithms integrated projection-free techniques with accelerated gradient flows to minimize bending energies for nonlinear plates with non-convex m…
math.NA2025
Derivative estimation by RKHS regularization for learning dynamics from time-series data
Hailong Guo, Haibo Li
Learning the governing equations from time-series data has gained increasing attention due to its potential to extract useful dynamics from real-world data. Despite significant pro…