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Dynamic properties of the local linearization method for initial-value problems
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DOI：10.1016/S0096-3003(00)00100-4.png)
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摘要
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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 the LL scheme is also presented, (C) 2002 Elsevier Science Inc. All rights reserved.
Keyword:
local linearization method
Euler exponential method
exponentially fitted Euler method
numerical integration
dynamical systems
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期刊
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3.4
论文数:
2.3W
被引数:
3.3W
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