Numerical Stability for Differential Equations with Memory
Numerical Analysis
2023-10-30 v2 Numerical Analysis
Abstract
In this work, we systematically investigate linear multi-step methods for differential equations with memory. In particular, we focus on the numerical stability for multi-step methods. According to this investigation, we give some sufficient conditions for the stability and convergence of some common multi-step methods, and accordingly, a notion of A-stability for differential equations with memory. Finally, we carry out the computational performance of our theory through numerical examples.
Cite
@article{arxiv.2305.06571,
title = {Numerical Stability for Differential Equations with Memory},
author = {Guihong Wang and Yuqing Li and Tao Luo and Zheng Ma and Nung Kwan Yip and Guang Lin},
journal= {arXiv preprint arXiv:2305.06571},
year = {2023}
}