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OA
Stability Analysis of One-Leg θ-Methods for a Class of Stiff Delay-differential-algebraic Equations with Proportional Delay
将单支θ-方法用于求解一类刚性比例延迟微分代数方程,采用拟几何网格克服长时间计算带来的存储问题,获得了方法稳定与渐近稳定的条件,最后的数值试验结果验证了所获理论的正确性.
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.
彭星玥;王格昊;余越昕
湘潭大学数学与计算科学学院,湖南湘潭 411105湘潭大学数学与计算科学学院,湖南湘潭 411105湘潭大学数学与计算科学学院,湖南湘潭 411105
数理科学
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
Delay-differential-algebraic equations with proportional delayQuasi-geometric meshOne-leg θ-methodStabilityAsymptotic stability
《应用数学》 2026 (3)
799-809,11
国家自然科学基金(12271367)
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