A multistep algorithm for ODEs

Details A multistep algorithm for ODEs A multistep algorithm for ODEs

2011-03-07

arxiv.org/abs/1103.1227v1

Nonlinear Sciences

Chaotic Dynamics

16 pages, 5 figures

Scientific paper

The objective of this paper is to prove the convergence of a linear implicit multi-step numerical method for ordinary differential equations. The algorithm is obtained via Taylor approximations. The convergence is proved following the Dahlquist theory. As an additional topic, the time stability is established too. Comparative tests between some of the most known numerical methods and this method are presented.

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