Long Chen

activity

20182020

most citedFirst order optimization methods based on Hessian-driven Nesterov accelerated gradient flow

10 citations · 11 across the 2 of their papers we have counts for

collaborators

3 papers

math.OC2020★ 1 cited

Randomized Fast Subspace Descent Methods

Long Chen, Xiaozhe Hu, Huiwen Wu

Randomized Fast Subspace Descent (RFASD) Methods are developed and analyzed for smooth and non-constraint convex optimization problems. The efficiency of the method relies on a spa…

math.OC2019★ 10 cited

First order optimization methods based on Hessian-driven Nesterov accelerated gradient flow

Long Chen, Hao Luo

A novel dynamical inertial Newton system, which is called Hessian-driven Nesterov accelerated gradient (H-NAG) flow is proposed. Convergence of the continuous trajectory are establ…

math.NA2018

Nonconforming Virtual Element Method for $2 m$ -th Order Partial Differential Equations in $R^{n}$

Long Chen, Xuehai Huang

A unified construction of the $H^{m}$ -nonconforming virtual elements of any order $k$ is developed on any shape of polytope in $R^{n}$ with constraints $m \leq n$ and $k \geq m$ .…

Randomized Fast Subspace Descent Methods

First order optimization methods based on Hessian-driven Nesterov accelerated gradient flow

Nonconforming Virtual Element Method for 2m-th Order Partial Differential Equations in Rn

Nonconforming Virtual Element Method for $2 m$ -th Order Partial Differential Equations in $R^{n}$