Registration Number
0220U100736,
0119U101608
, R & D reports
Title
New methods for wellposedness investigation and solving of discrete optimization problems, variational inequalities and their applications
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Head
Sergienko Ivan V., Доктор фізико-математичних наук
Registration Date
24-01-2020
Organization
Department for special training National academy of science of Ukraine at Kiev University
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Conditions of optimality, of stable and unstable solvability of vector optimization problems with different functions of criteria and with different principles of optimality under possible perturbations of initial data are obtained. A new two-stage methods for the approximate solution of variational inequalities with pseudo-monotone and Lipschitz-continuous operators acting in a finite-dimensional linear normed space is proposed. A convergence theorems of methods are proved. A variational algorithm for identifying the optimum power of point sources has been developed, which allows solving quasilinear moisture transfer problems in an unsaturated porous medium by linearizing them based on Kirchhoff transformations under realistic assumptions. Computational experiments were performed.
Product Description
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Кlyushyn Dmytro A.
Lebiedieva Tetiana T.
Lyashko Sergei I.
Manovitska Darya O.
Semenov Viktor V.
Semenov Volodymyr V.
Semenova Nataliy V.
Sergienko Tetyana I.
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2020-04-02
