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October 2009 An Application of Taylor Models to the Nakao Method on ODEs
Nobito Yamamoto, Takashi Komori
Japan J. Indust. Appl. Math. 26(2-3): 365-392 (October 2009).

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.

Citation

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Nobito Yamamoto. Takashi Komori. "An Application of Taylor Models to the Nakao Method on ODEs." Japan J. Indust. Appl. Math. 26 (2-3) 365 - 392, October 2009.

Information

Published: October 2009
First available in Project Euclid: 1 February 2010

zbMATH: 1185.65119
MathSciNet: MR2589481

Rights: Copyright © 2009 The Japan Society for Industrial and Applied Mathematics

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Vol.26 • No. 2-3 • October 2009
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