2 papers
math.NA2025
A new class of one-step A-stable and L-stable schemes of high-order accuracy for parabolic type equations
Xiaoyi Li, Aijie Cheng, Zhengguang Liu
Recently, a new class of BDF schemes proposed in [F. Huang and J. Shen, SIAM J Numer. Anal., 62.4, 1609--1637] for the parabolic type equations are studied in this paper. The basic…
math.NA2024
Improving the accuracy and consistency of the energy quadratization method with an energy-optimized technique
Xiaoqing Meng, Aijie Cheng, Zhengguang Liu
We propose an energy-optimized invariant energy quadratization method to solve the gradient flow models in this paper, which requires only one linear energy-optimized step to corre…