An Application of Taylor Models to the Nakao Method on ODEs
Nobito Yamamoto and Takashi Komori
Source: Japan J. Indust. Appl. Math. Volume 26, Number 2-3
(2009), 365-392.
Abstract
The authors give short survey on validated computaion of initial value problems for ODEs especially Taylor model methods. Then they propose an application of Taylor models to the Nakao method which has been developed for numerical verification methods on PDEs and apply it to initial value problems for ODEs with some numerical experiments.
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Japan Journal of Industrial and Applied Mathematics
