Stability of implicit deferred correction methods based on BDF methods

被引：0
|
作者：
Yao, Lin [1 ,2 ]
Xia, Yinhua [1 ]
Xu, Yan [1 ]
机构：
[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China
[2] Xinjiang Normal Univ, Sch Math Sci, Urumqi 830017, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2024年 / 158卷
关键词：
Multistep methods; Deferred correction approach; BDF methods; Stiff problems; A-stable;
D O I：
10.1016/j.aml.2024.109255
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Dahlquist barrier states that the highest attainable order for an A-stable linear multistep method is limited to 2. In this paper, we adopt the deferred correction approach with the BDF methods to develop A-stable third and fourth-order multistep methods with low stages. The stability of the methods is investigated to show how A-stability can be achieved. Numerical experiments are conducted to validate the accuracy and stability of the proposed methods when applied to stiff problems.
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页数：6
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