Quasi steady state and partial equilibrium approximations: their relation and their validity
Quasi steady state and partial equilibrium approximations: their relation and their validity
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DOI：
10.1080/13647830.2012.680502
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发表时间：
2012-01-01
影响因子：
1.3
通讯作者：
Goussis, Dimitris A.
中科院分区：
文献类型：
--
作者：
Goussis, Dimitris A.
The quasi steady state and partial equilibrium approximations are analysed in the context of a system of nonlinear differential equations exhibiting multiscale behaviour. Considering systems in the most general and dimensional form dy/dt = g(y), it is shown that both approximations are limiting cases of leading-order asymptotics. Algorithmic conditions are established which guarantee that the accuracy and stability delivered by the two approximations are equivalent to those obtained with leading-order asymptotics. It is shown that the quasi steady state approximation is a limiting case of the partial equilibrium approximation. Algorithms are reported for the identification of the variables in quasi steady state and/or of the processes in partial equilibrium.
