Consistent initial condition calculation for differential-algebraic systems
Consistent initial condition calculation for differential-algebraic systems
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DOI：
10.1137/s1064827595289996
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发表时间：
1998-09-01
影响因子：
3.1
通讯作者：
Petzold, LR
中科院分区：
文献类型：
--
作者：
Brown, PN;Hindmarsh, AC;Petzold, LR
本文给出了一类含半显式指数为1的微分代数方程组相容初始条件的一种新算法。我们考虑两种类型的初始条件问题-一个是指定的微分变量，和一个指定的衍生向量。该算法需要来自用户的最少的附加信息。我们概述了一个通用的求解器DASPK微分代数方程的实施，并提出了一些数值实验，说明其有效性。
In this paper we describe a new algorithm for the calculation of consistent initial conditions for a class of systems of differential-algebraic equations which includes semi-explicit index-one systems. We consider initial condition problems of two types-one where the differential variables are specified, and one where the derivative vector is specified. The algorithm requires a minimum of additional information from the user. We outline the implementation in a general-purpose solver DASPK for differential-algebraic equations, and present some numerical experiments which illustrate its effectiveness.