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)


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.



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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© 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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