Abstract
Linear barycentric rational interpolants, instead of customary polynomial interpolants, have been recently used to design the efficient numerical integrators for ODEs. In this way, the BDF-type methods based on these interpolants have been introduced as a general class of the methods in this type with better accuracy and stability properties. In this paper, we introduce an extension of them equipped to super-future point technique. The order of convergence and stability of the proposed methods are discussed and confirmed by some given numerical experiments.
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Esmaeelzadeh, Z., Abdi, A. & Hojjati, G. EBDF-type methods based on the linear barycentric rational interpolants for stiff IVPs. J. Appl. Math. Comput. 66, 835–851 (2021). https://doi.org/10.1007/s12190-020-01464-y
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DOI: https://doi.org/10.1007/s12190-020-01464-y
Keywords
- Linear barycentric rational interpolation
- Barycentric rational finite differences
- Stiff differential equations
- BDF methods
- Linear stability