1 citations · 1 across the 4 of their papers we have counts for
4 papers
On a class of higher-order length preserving and energy decreasing IMEX schemes for the Landau-Lifshitz equation
Xiaoli Li, Nan Zheng, Jie Shen
We construct new higher-order implicit-explicit (IMEX) schemes using the generalized scalar auxiliary variable (GSAV) approach for the Landau-Lifshitz equation. These schemes are l…
Global error estimates of high-order fully decoupled schemes for the Cahn-Hilliard-Navier-Stokes model of Two-Phase Incompressible Flows
Xiaoli Li, Nan Zheng, Jie Shen +1
In this paper we construct new fully decoupled and high-order implicit-explicit (IMEX) schemes for the two-phase incompressible flows based on the new generalized scalar auxiliary…
An Element-wise RSAV Algorithm for Unconstrained Optimization Problems
Shiheng Zhang, Jiahao Zhang, Jie Shen +1
We present a novel optimization algorithm, element-wise relaxed scalar auxiliary variable (E-RSAV), that satisfies an unconditional energy dissipation law and exhibits improved ali…
Energy-Dissipative Evolutionary Deep Operator Neural Networks
Jiahao Zhang, Shiheng Zhang, Jie Shen +1
Energy-Dissipative Evolutionary Deep Operator Neural Network is an operator learning neural network. It is designed to seed numerical solutions for a class of partial differential…