4 citations · 4 across the 4 of their papers we have counts for
4 papers
Isoperimetric Ratios of Toroidal Dupin Cyclides
Alin Bostan, Thomas Yu, Sergey Yurkevich
The combination of recent results due to Yu and Chen [Proc. AMS 150(4), 2020, 1749-1765] and to Bostan and Yurkevich [Proc. AMS 150(5), 2022, 2131-2136] shows that the 3-D Euclidea…
The Essential Best and Average Rate of Convergence of the Exact Line Search Gradient Descent Method
Thomas Yu
It is very well known that when the exact line search gradient descent method is applied to a convex quadratic objective, the worst-case rate of convergence (ROC), among all seed v…
On the Uniqueness of Clifford Torus with Prescribed Isoperimetric Ratio
Thomas Yu, Jingmin Chen
The Marques-Neves theorem asserts that among all the torodial (i.e. genus 1) closed surfaces, the Clifford torus has the minimal Willmore energy . % It is a natural…
Numerical Methods for Biomembranes: conforming subdivision methods versus non-conforming PL methods
Jingmin Chen, Thomas Yu, Patrick Brogan +3
The Canham-Helfrich-Evans models of biomembranes consist of a family of geometric constrained variational problems. In this article, we compare two classes of numerical methods for…