2018
DOI: 10.1063/1.5082086
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Error estimate of the nonstationary Galerkin method for a higher order equation of mixed type

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“… ðàáîòå [11] ñòàöèîíàðíûé ìåòîä Ãàëåðêèíà ïðèìåíÿåòñÿ ê ðåøåíèþ ïåðâîé êðàåâîé çàäà÷è äëÿ óðàâíåíèÿ ñìåøàííîãî òèïà, â ðàáîòå [12] äëÿ ýòîé çàäà÷è ïîëó÷åíà îöåíêà ïîãðåøíîñòè ñòàöèîíàðíîãî ìåòîäà Ãàëåðêèíà ÷åðåç ñîáñòâåííûå ÷èñëà îïåðàòîðà Ëàïëàñà ïî ïåðåìåííûì x ∈ R n è t.  ðàáîòå [13] ê ðåøåíèþ êðàåâîé çàäà÷è äëÿ óðàâíåíèÿ ñìåøàííîãî òèïà â ïîñòàíîâêå Â.Í. Âðàãîâà ïðèìåíåí ìîäèôèöèðîâàííûé ìåòîä Ãàëåðêèíà, è ïîëó÷åíà îöåíêà åãî ïîãðåøíîñòè.…”
Section: ââåäåíèåunclassified
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“… ðàáîòå [11] ñòàöèîíàðíûé ìåòîä Ãàëåðêèíà ïðèìåíÿåòñÿ ê ðåøåíèþ ïåðâîé êðàåâîé çàäà÷è äëÿ óðàâíåíèÿ ñìåøàííîãî òèïà, â ðàáîòå [12] äëÿ ýòîé çàäà÷è ïîëó÷åíà îöåíêà ïîãðåøíîñòè ñòàöèîíàðíîãî ìåòîäà Ãàëåðêèíà ÷åðåç ñîáñòâåííûå ÷èñëà îïåðàòîðà Ëàïëàñà ïî ïåðåìåííûì x ∈ R n è t.  ðàáîòå [13] ê ðåøåíèþ êðàåâîé çàäà÷è äëÿ óðàâíåíèÿ ñìåøàííîãî òèïà â ïîñòàíîâêå Â.Í. Âðàãîâà ïðèìåíåí ìîäèôèöèðîâàííûé ìåòîä Ãàëåðêèíà, è ïîëó÷åíà îöåíêà åãî ïîãðåøíîñòè.…”
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“…Âðàãîâà. Ñëåäîâàòåëüíî, äëÿ êðàåâîé çàäà÷è (1), (2) â ýòèõ ñëó÷àÿõ ñïðàâåäëèâû àíàëîãè÷íûå ðåçóëüòàòû[13]. .Å.Åãîðîâ, Â.Å.…”
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