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The Asymptotic Mesh Independence Principle

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Intelligent Numerical Methods: Applications to Fractional Calculus

Part of the book series: Studies in Computational Intelligence ((SCI,volume 624))

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Abstract

We present a new asymptotic mesh independence principle of Newton’s method for discretized nonlinear operator equations. Our hypotheses are weaker than in earlier studies such as [1, 9–13].

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References

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Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, The University of Memphis, Memphis, TN, USA

    George A. Anastassiou

  2. Department of Mathematical Sciences, Cameron University, Lawton, OK, USA

    Ioannis K. Argyros

Authors
  1. George A. Anastassiou
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  2. Ioannis K. Argyros
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Correspondence to George A. Anastassiou .

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Anastassiou, G.A., Argyros, I.K. (2016). The Asymptotic Mesh Independence Principle. In: Intelligent Numerical Methods: Applications to Fractional Calculus. Studies in Computational Intelligence, vol 624. Springer, Cham. https://doi.org/10.1007/978-3-319-26721-0_17

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  • DOI: https://doi.org/10.1007/978-3-319-26721-0_17

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-26720-3

  • Online ISBN: 978-3-319-26721-0

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