Geodesic
On discrete boundary-value problems and their approximation properties
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and Mechanics, Tome 174 (2020), pp. 12-19.

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Discrete analogs of pseudo-differential operators and equations in discrete Sobolev–Slobodetsky spaces are considered. Using suitable discrete boundary conditions, we prove the unique solvability of the discrete boundary-value problem.
Keywords: discrete pseudo-differential operator, discrete boundary-value problem, solvability, approximation, periodic factorization, error estimate. 
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V. B. Vasilev (Vasilyev); O. A. Tarasova. On discrete boundary-value problems and their approximation properties. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and Mechanics, Tome 174 (2020), pp. 12-19. http://geodesic.mathdoc.fr/item/INTO_2020_174_a1/

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