Samagistro programis dasaxeleba
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- Bu səhifədəki naviqasiya:
- Construction of linear central algorithms for equation containing inverse of selfadjoint positive definite operators
- § 5.6. Applications of the received results for the approximate solution of computing tomography problems
- Construction of linear central algorithms for equation containing selfadjoint positive definite operators
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informatikisa da marTvis sistemebis fakultetisaTvis samagistro programis sakvalifikacio daxasiaTeba samagistro programis dasaxeleba – wrfivi centraluri algoriTmebi da maTi gamoyenebebi misaniWebeli xarisxi – mecnierebis magistris akademiuri xarisxi programis mizani: centraluri algoriTmebis Teoriis Seswavla da misi gamoyeneba maTematikuri fizikis mniSvnelovani pirdapiri da Sebrunebuli amocanebis miaxloebiTi amoxsnisaTvis. Sebrunebuli amocanis amoxsna gulisxmobs gairkves ucnobi mizezi misi efeqtebis dakvirvebis safuZvelze. es aris sawinaaRmdego pirdapiri amocanisa, romlis amoxsna gvaZlevs efeqtebis codnas misi mizezebis sruli aRweridan gamomdinare. gansakuTrebuli yuradReba mieqceva singularuli daSlis mqone operatorTa Semcvel gantolebebs. aseTi operatorebi warmodgindebian mwkrivebis saxiT. kerZod, aseTia kompiuteruli tomografiis amocana. kompiuteruli tomografiis amocanebis kvlevaSi mniSvnelovan rols asrulebs radonis gardaqmna. es gardaqmna evklides sivrceSi gansazRvrul funqcias uTanadebs mis hipersibrtyeebze integralebis simravles. kerZod, samganzomilebian sivrceSi gansazRvrul funqcias radonis gardaqmna uTanadebs mis wrfeebze an sibrtyeebze wiriTi integralebis simravles. kompiuteruli (gamoTvliTi) tomografiis amocana mdgomareobs am operatoris Sebrunebulis miaxloebiT gamoTvlaSi, anu funqciis aRdgenis ricxviTi algoriTmis povnaSi misi wrfeebis an sibrtyeebis mimarT integralebiT. am amocanis amoxsnam gamoyeneba pova rendgenodiagnostikaSi da mis safuZvelze gasuli saukunis 60-ian wlebSi aigo pirveli kompiuteruli tomografi a.kormakisa da g.xaunsfildis mier, romlebmac Semdeg 1979 wels nobelis premia daimsaxures. Sebrunebuli tipisaa teqnikis, rentgenodiagnostikis, radioastronomiis, astrofizikis, geofizikis, bioqimiis mravali praqtikuli amocana. swored efeqtebis safuZvelze SeiZleba ganisazRvros bzarebi metalSi, betonis simtkice, an organos daavadeba (operaciis gareSe), ganisazRvros navTobisa da gazis sabados mdebareoba an miviRoT informacia Soreul planetaze masze gagzavnili da misi zedapirisagan arekvlili sxivis damuSavebis safuZvelze. programis mizania aRniSnuli amocanebis ricxviTi realizaciisaTvis centraluri algoriTmebis ageba. programis Sinaarsi:
swavlis Sedegi kursdamTavrebulebi SeZleben zemoTaRniSnuli amocanebis miaxloebiTi amoxsnisaTvis saWiro algoriTmebis, maT Soris centraluri algoriTmis agebas, zusti amoxsnebisagan miaxloebiTi amoxsnis gadaxris Sefasebebs, SeZleben centraluri algoriTmebis upiratesobebis dadgenas sxva algoriTmebTan SedarebiT. SeZleben programebis sxvadasxva paketebis gamoyenebas, maT Soris diferencialuri da integraluri gantolebebis miaxloebiTi amoxsnebis sxvadasxva paketebis gamoyenebas, “maTlabis” programis gamoyenebas.
wrfivi algebrisa da maTematikuri analizis sabakalavro programis safuZvliani codna. unda flobdes ucxo enas imdenad, rom Tavisuflad SeZlos specialuri literaturis kiTxva da perioduli literaturis gacnoba. dasaqmebis sferoebi: SesaZlebeli iqneba magistrantis dasaqmeba kompiuterul tomografis momsaxurebis xaziT, navTobisa da gazis saZiebo samsaxurebSi. maswavlebelTa Semadgenloba: duglas ugulava - saqarTvelos teqnikuri universitetis niko musxeliSvilis gamoTvliTi matematikis institutis maTematikuri modelirebis ganyofilebis gamge, fizika-maTematikis mecnierebaTa doqtori daviT zarnaZe - saqarTvelos teqnikuri universitetis niko musxeliSvilis gamoTvliTi matematikis institutis maTematikuri modelirebis ganyofilebis ufrosi mecnier TanamSromeli, fizika-maTematikis mecnierebaTa doqtori. rekomendebuli literatura
Diego, New york, Berkley, London, Sydney, Tokyo, Toronto. Academy Press.
Москва, «Мир», 1990).
An existence of generalized splines, a generalization of the Jame’s theorem for Frechet spaces. A condition for the existence of generalized splines in the case of 1 cardinality information. An application of the Ritz’s extended method for the approximate solution of equation with the strong degenerating elliptic operator. Chapter 5 § 5.1. The Ritz’s generalized method for the approximate solution of equations with some compact operators. § 5.2. The space D(K ) and the operator K . § 5.3.Construction of linear central algorithms for equation containing inverse of selfadjoint
§ 5.4 Construction of linear central algorithms for some integral equation of the first kind § 5.5. An approximate solution of some equations with the operators admitting a sinqular decomposition § 5.6. Applications of the received results for the approximate solution of computing tomography problems § 5.6. Reprezentation of the space D((R*R)- ) for Radon transform R. informatikisa da marTvis sistemebis fakultetisaTvis samagistro programis sakvalifikacio daxasiaTeba
programis mizani: programis Sinaarsi: Linear problems with an absolutely convex set of problem elements § 1.1. Definition of linear problem § 1.2. Central and optimal algorithms § 1.3. Spline and linear algorithms. Some examples. § 1.4. Existence of splines in classical Banach spaces Definition of a generalized spline and of a generalized spline algorithm § 3.2. An existence of generalized splines A generalization of the Jame’s theorem for Frechet spaces. A condition for the existence of generalized splines in the case of 1 cardinality information An application of the Ritz’s extended method for the approximate solution of equation with the strong degenerating elliptic operator. § 4.5. Construction of linear central algorithms for equation containing selfadjoint positive definite operators, Some examples of differential operators of the second order
Stability and approximate solution of inverse and computing tomography problems § 5.1. The Ritz’s generalized method for the approximate solution of equations with some compact operators. § 5.2. The space D(K ) and the operator K . § 5.3.Construction of linear central algorithms for equation containing inverse of selfadjoint positive definite operators § 5.4 Construction of linear central algorithms for some integral equation of the first kind § 5.5. An approximate solution of some equations with the operators admitting a sinqular decomposition § 5.6. Applications of the received results for the approximate solution of computing tomography problems § 5.6. Reprezentation of the space D((R*R)- ) for Radon transform R. Yüklə 20,69 Kb. Dostları ilə paylaş:
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