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Sensitivity Analysis of ODES/DAES Using the Taylor Series Method

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2006 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Scientific Computing, volume 27, pages 1,929-1,947 (issn: 1064-8275, eissn: 1095-7197, Copyright policy )
Authors: Roberto Barrio;

doi: 10.1137/030601892

Sensitivity Analysis of ODES/DAES Using the Taylor Series Method

Abstract

This paper studies the applicability of the Taylor method for the sensibility analysis of ODEs and DAEs. Extended automatic differentiation rules are introduced for the calculus of partial derivatives of Taylor series. The numerical method is implemented using an efficient variable-step variable-order scheme. Finally, some numerical tests are presented showing the benefits of the formulation.

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Powered by OpenAIRE graph
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
54
Top 10%
Top 10%
Top 10%
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