On the three term recurrence relation and BDF methods

Larissa Ferreira Marques, Vanessa Botta, Messias Meneguette

Resumo


In this paper, we propose to investigate important properties of the characteris- tic polynomials related to the backward differential formulas (BDF). We show that the BDF characteristic polynomials satisfy a three term recurrence relation that allows us to provide the location of their zeros.

Palavras-chave


Three term recurrence relation, BDF methods, Numerical Stability, Zeros.

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DOI: https://doi.org/10.5540/03.2020.007.01.0413

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