刚性微分方程组解法综述

Proceedings of the 9th International Scientific and Practical Conference of Students, Post-graduates Modern Techniques and Technologies, 2003. MTT 2003. Pub Date : 2003-04-07 DOI:10.1109/SPCMTT.2003.1438133

S.V. Schadenko, O. Zhdaneev

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引用次数: 0

摘要

在研究铅蒸气激光器物理过程动力学时，必须建立铅蒸气激光器的非定常自洽放电动力学模型。为了建立该模型，采用了刚性微分方程组。为了提高求解效率，建议采用多步法，称为齿轮法。Gear方法允许积分阶跃值在很大范围内变化，同时提供计算稳定性。

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Solution methods review of the stiff differential equations systems

In the study of the kinetics of the physical processes in a lead vapor laser, the unsteady self-consistent discharge kinetics model of the lead vapor laser is necessary. To develop this model, the stiff differential equations system is used. To increase the solution efficiency, a multistep method, called the Gear method, is recommended. The Gear method allows the integration step value to be varied in a wide range while providing calculation stability.

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Proceedings of the 9th International Scientific and Practical Conference of Students, Post-graduates Modern Techniques and Technologies, 2003. MTT 2003.

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