Stepsize Restrictions for Nonlinear Stability Properties of Neutral Delay Differential Equations
Keyword(s):
The present paper is concerned with the relationship between stepsize restriction and nonlinear stability of Runge-Kutta methods for delay differential equations. We obtain a special stepsize condition guaranteeing global and asymptotical stability properties of numerical methods. Some confirmations of the conditions on Runge-Kutta methods are illustrated at last.
2013 ◽
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2008 ◽
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pp. 175-185
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