应用数学2026，Vol.39Issue(3)：799-809,11.
一类刚性比例延迟微分代数方程单支θ-方法的稳定性分析
Stability Analysis of One-Leg θ-Methods for a Class of Stiff Delay-differential-algebraic Equations with Proportional Delay
摘要
Abstract
One-leg θ-methods are applied to solve a class of stiff delay-differential-algebraic equa-tions with proportional delay.A quasi-geometric mesh is used to overcome the storage problem caused by long-time numerical computation.The stability and asymptotic stability conditions of the methods are obtained.Finally,numerical experimental results verify the correctness of the obtained theory.关键词
比例延迟微分代数方程/拟几何网格/单支θ-方法/稳定性/渐近稳定性Key words
Delay-differential-algebraic equations with proportional delay/Quasi-geometric mesh/One-leg θ-method/Stability/Asymptotic stability分类
数理科学引用本文复制引用
彭星玥,王格昊,余越昕..一类刚性比例延迟微分代数方程单支θ-方法的稳定性分析[J].应用数学,2026,39(3):799-809,11.基金项目
国家自然科学基金(12271367) （12271367）
