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Digital Operators, Discrete Equations and Error Estimates

  • Alexander Vasilyev
  • Vladimir Vasilyev
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 126)

Abstract

We consider some correlations between theories of discrete and continuous pseudo-differential equations. The discrete theory is very useful to construct good finite approximations for continuous solutions, and solvability theory for discrete pseudo-differential equations is very similar to the theory of continuous ones. We show certain elements of such a theory, and for simplest cases give comparison estimates.

Notes

Acknowledgements

The author was supported by the State contract of the Russian Ministry of Education and Science (contract No 1.7311.2017/8.9).

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Alexander Vasilyev
    • 1
  • Vladimir Vasilyev
    • 1
  1. 1.National Research Belgorod State UniversityBelgorodRussia

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