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Maximum angles of A\(\varvec{(\vartheta )}\)-stability of backward difference formulae

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Abstract

The maximum angles \(\vartheta _q\) for which the three-, four-, five- and six-step backward difference formula methods are A(\(\vartheta _q\))-stable, slight improvements of the well-known angles, are determined.

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Acknowledgements

The authors would like to thank the anonymous referees; their suggestions led to an improved presentation of the paper.

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Authors and Affiliations

  1. Department of Computer Science and Engineering, University of Ioannina, 451 10, Ioannina, Greece

    Georgios Akrivis

  2. Institute of Applied and Computational Mathematics, FORTH, 700 13, Heraklion, Crete, Greece

    Georgios Akrivis

  3. Department of Mathematics and Applied Mathematics, University of Crete, 710 03, Heraklion, Crete, Greece

    Emmanouil Katsoprinakis

Authors
  1. Georgios Akrivis
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  2. Emmanouil Katsoprinakis
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Correspondence to Georgios Akrivis.

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Communicated by Christian Lubich.

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Akrivis, G., Katsoprinakis, E. Maximum angles of A\(\varvec{(\vartheta )}\)-stability of backward difference formulae. Bit Numer Math 60, 93–99 (2020). https://doi.org/10.1007/s10543-019-00768-1

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  • DOI: https://doi.org/10.1007/s10543-019-00768-1

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