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Erschienen in: Numerical Algorithms 4/2021

14.10.2020 | Original Paper

Second derivative backward differentiation formulae for ODEs based on barycentric rational interpolants

verfasst von: Ali Abdi, Gholamreza Hojjati

Erschienen in: Numerical Algorithms | Ausgabe 4/2021

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Abstract

For their several attractive features from the viewpoint of the numerical computations, linear barycentric rational interpolants have been recently used to construct various numerical methods for solving different classes of equations. In this paper, we introduce a family of linear multistep second derivative methods together with a starting procedure based on barycentric rational interpolants. The order of convergence and linear stability properties of the proposed methods have been investigated. To validate the theoretical results and efficiency of the methods, some numerical experiments have been provided.
Vorheriger Artikel An algorithm based on QSVD for the quaternion equality constrained least squares problem
Nächster Artikel Local and parallel finite element methods for the coupled Stokes/Darcy model

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Metadaten
Titel
Second derivative backward differentiation formulae for ODEs based on barycentric rational interpolants
verfasst von
Ali Abdi
Gholamreza Hojjati
Publikationsdatum
14.10.2020
Verlag
Springer US
Erschienen in
Numerical Algorithms / Ausgabe 4/2021
Print ISSN: 1017-1398
Elektronische ISSN: 1572-9265
DOI
https://doi.org/10.1007/s11075-020-01020-6

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