Geodesic
On digital approximations for pseudo-differential equations and related boundary value problems
Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 122, pp. 216-227

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We consider a discrete version of pseudo-differential operators as a first stage for constructing approximate methods of solving pseudo-differential equations and their numerical realization. For this purpose we introduce the classes of periodic symbols and discrete operators, study a solvability of corresponding discrete equations and suggest some computations algorithms.
Keywords: digital pseudo-differential operator, discrete equation, approximate solution. 
@article{VTAMU_2018_23_122_a12,
     author = {V. B. Vasil'ev (Vasilyev)},
     title = {On digital approximations for pseudo-differential equations and related boundary value problems},
     journal = {Vestnik rossijskih universitetov. Matematika},
     pages = {216--227},
     publisher = {mathdoc},
     volume = {23},
     number = {122},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2018_23_122_a12/}
}
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V. B. Vasil'ev (Vasilyev). On digital approximations for pseudo-differential equations and related boundary value problems. Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 122, pp. 216-227. http://geodesic.mathdoc.fr/item/VTAMU_2018_23_122_a12/