caa a22 4500 605524025 CHVBK 20210128100752.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s10958-015-2295-7 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2295-7 A class of periodic integral equations with numerical solution by the fully discrete projection method [Elektronische Daten] [Sergey Solodky, Evgeniya Semenova] For a class of integral periodic equations of the first kind, the problem of stable approximate solutions is considered. The error estimates in the metric of Sobolev spaces for the fully discrete projection method with two discretization parameters are established. To choose a level of discretization, the balancing principle is used. Springer Science+Business Media New York, 2015 Periodic integral equation nationallicence fully discrete projection method nationallicence balancing principle nationallicence Solodky Sergey Institute of Mathematics, National Academy of Sciences of Ukraine, 3, Tereshchenkivska Str., 01601, Kiev, Ukraine aut Semenova Evgeniya Institute of Mathematics, National Academy of Sciences of Ukraine, 3, Tereshchenkivska Str., 01601, Kiev, Ukraine aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 206/1(2015-04-01), 84-96 1072-3374 206:1<84 2015 206 10958 https://doi.org/10.1007/s10958-015-2295-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2295-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Solodky Sergey Institute of Mathematics, National Academy of Sciences of Ukraine, 3, Tereshchenkivska Str., 01601, Kiev, Ukraine aut NATIONALLICENCE 700 1- Semenova Evgeniya Institute of Mathematics, National Academy of Sciences of Ukraine, 3, Tereshchenkivska Str., 01601, Kiev, Ukraine aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 206/1(2015-04-01), 84-96 1072-3374 206:1<84 2015 206 10958