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Digital Approximations for Pseudo-Differential Equations and Error Estimates

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Numerical Methods and Applications (NMA 2018)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11189))

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Abstract

We consider a discrete version of pseudo-differential operators and equations in appropriate discrete functional spaces. Using a special factorization for an elliptic symbol we obtain certain results on a solvability for such discrete equations and give a comparison between discrete and continuous solutions.

Supported by the State contract of the Russian Ministry of Education and Science (contract No. 1.7311.2017/8.9).

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Author information

Authors and Affiliations

  1. Belgorod National Research University, Belgorod, 308007, Russia

    Vladimir B. Vasilyev

Authors
  1. Vladimir B. Vasilyev
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Correspondence to Vladimir B. Vasilyev .

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Editors and Affiliations

  1. Sofia University “St. Kliment Ohridski”, Sofia, Bulgaria

    Geno Nikolov

  2. Bulgarian Academy of Sciences, Sofia, Bulgaria

    Natalia Kolkovska

  3. Bulgarian Academy of Sciences, Sofia, Bulgaria

    Krassimir Georgiev

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Vasilyev, V.B. (2019). Digital Approximations for Pseudo-Differential Equations and Error Estimates. In: Nikolov, G., Kolkovska, N., Georgiev, K. (eds) Numerical Methods and Applications. NMA 2018. Lecture Notes in Computer Science(), vol 11189. Springer, Cham. https://doi.org/10.1007/978-3-030-10692-8_55

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  • DOI: https://doi.org/10.1007/978-3-030-10692-8_55

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-10691-1

  • Online ISBN: 978-3-030-10692-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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