Abstract
We develop discrete variant of a theory of pseudo-differential operators and equations. For some canonical domains we obtain solvability results for such equations and use these results to construct approximate solutions.
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Acknowledgments
The work is supported by the State contract of the Russian Ministry of Education and Science (contract No 1.7311.2017/8.9).
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Vasilyev, V.B. (2019). On a Digital Version of Pseudo-Differential Operators and Its Applications. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Finite Difference Methods. Theory and Applications. FDM 2018. Lecture Notes in Computer Science(), vol 11386. Springer, Cham. https://doi.org/10.1007/978-3-030-11539-5_70
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DOI: https://doi.org/10.1007/978-3-030-11539-5_70
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