2 papers
math.OC2026
Existence of Quantum Splines via Fourth-Order Gradient Flows
Chun-Chi Lin, Yang-Kai Lue, Dung The Tran
We establish a rigorous existence theory for the quantum splines introduced by Brody, Holm, and Meier in Physical Review Letters (2012). These curves arise as solutions of a variat…
math.OC2025
Higher-order Riemannian spline interpolation problems: a unified approach by gradient flows
Chun-Chi Lin, Dung The Tran
This paper addresses the problems of spline interpolation on smooth Riemannian manifolds, with or without the inclusion of least-squares fitting. Our unified approach utilizes grad…