UNCONDITIONAL STABILITY OF EXPLICIT EXPONENTIAL RUNGE-KUTTA METHODS FOR SEMI-LINEAR ORDINARY DIFFERENTIAL EQUATIONS
UNCONDITIONAL STABILITY OF EXPLICIT EXPONENTIAL RUNGE-KUTTA METHODS FOR SEMI-LINEAR ORDINARY DIFFERENTIAL EQUATIONS
复制标题
DOI：
10.1090/s0025-5718-08-02171-6
复制
发表时间：
2009-01-01
影响因子：
2
通讯作者：
Zennaro, M.
中科院分区：
文献类型：
--
作者：
Maset, S.;Zennaro, M.
在本文中，我们定义了无条件稳定性的指数Runge-Kutta方法时，他们被应用到半线性系统的常微分方程，其特征在于一个刚性的线性部分和一个非刚性的非线性部分。这些性质与一类系统和一个特定的范数有关。我们给出了显式方法满足这些性质的充分条件。在此基础上，我们分析了一些流行的方法。
In this paper we define unconditional stability properties of exponential Runge-Kutta methods when they are applied to semi-linear systems of ordinary differential equations characterized by a stiff linear part and a non-stiff non-linear part. These properties are related to a class of systems and to a specific norm. We give sufficient conditions in order that an explicit method satisfies such properties. On the basis of such conditions we analyze some of the popular methods.