Dynamic properties of the local linearization method for initial-value problems

Jimenez JC.; Biscay R.; Mora C.; Rodriguez LM.

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Dynamic properties of the local linearization method for initial-value problems

机译：初值问题局部线性化方法的动态性质

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Some dynamic properties of (lie local linearization (LL) scheme for the numerical integration of initial-value problems in ordinary differential equations (ODEs) are investigated. Specifically, the general conditions under which this scheme preserves the stationary points and periodic orbits of the ODEs and the local stability at these steady states are studied. These dynamic properties are also examined by means of numerical experiments and the results are compared with those achieved by other numerical schemes. In addition, a brief review of the computational implementations of tile LL scheme is also presented, (C) 2002 Elsevier Science Inc. All rights reserved. [References: 37]

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《Applied mathematics and computation》 |2002年第1期|共19页
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Jimenez JC.; Biscay R.; Mora C.; Rodriguez LM.;
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正文语种 eng
中图分类应用数学;
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Dynamic properties of the local linearization method for initial-value problems

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