Збірник праць Інституту математики НАНУ
http://dspace.nbuv.gov.ua:80/xmlui/handle/123456789/6269
2022-09-27T16:42:38ZOn the efficient method of solving ill-posed problems by adaptive discretization
http://dspace.nbuv.gov.ua:80/xmlui/handle/123456789/6332
On the efficient method of solving ill-posed problems by adaptive discretization
Solodky, S.G.; Volynets, E.A.
To solve ill-posed problems Ax = f is used the Fakeev-Lardy regularization, using an adaptive discretization strategy. It is shown that for some classes of finitely smoothing operators proposed algorithm achieves the optimal order of accuracy and is more economical in the sense of amount of discrete information then standard methods
2009-01-01T00:00:00ZMorse-Bott functions on manifolds with semi-free circle action
http://dspace.nbuv.gov.ua:80/xmlui/handle/123456789/6331
Morse-Bott functions on manifolds with semi-free circle action
Sharko, V.V.
Let W²ⁿ be a closed manifold of dimension ≥ 6 with semi-free circle having finitely many fixed points. We study S¹-invariant Morse-Bott functions on W²ⁿ. The aim of this paper is to obtain exact values of minimal numbers of singular circles of some indexes of S¹-invariant Morse-Bott functions on W²ⁿ.
2009-01-01T00:00:00ZOn conjugate pseudo-harmonic functions
http://dspace.nbuv.gov.ua:80/xmlui/handle/123456789/6330
On conjugate pseudo-harmonic functions
Polulyakh, Ye.
We prove the following theorem. Let U be a pseudo-harmonic function on a surface M². For a real valued continuous function V : M² → R to be a conjugate pseudo-harmonic function of U on M² it is necessary and sufficient that V is open on level sets of U.
2009-01-01T00:00:00ZHigh energy physics and algebraic geometry
http://dspace.nbuv.gov.ua:80/xmlui/handle/123456789/6329
High energy physics and algebraic geometry
Malyuta, Yu.M.; Obikhod, T.V.
Superstring theory is applied to construction of the Minimal Supersymmetric Standard Model.
2009-01-01T00:00:00Z