Ukrainian Conference in Applied Mathematics September, 2017 Ivan Franko National University of Lviv, University str.

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Ukrainian Conference in Applied Mathematics 28-30 September, 2017 Ivan Franko National University of Lviv, University str. 1, Lviv, Ukraine Thursday, 28.09.2017 Registration (9.00-10.00). Mirror Hall Plenary session (10.00-13.00). Mirror Hall Chair: Ya.Savula Conference Program 10.00-10.35. Open of the conference (R.Gladyshevskyy, Ya.Savula, R.Chapko, 10.35-11.10. Professor Olexandr Kostovskyi- scientist, teacher and organizer (A.Kardash, 11.10-11.50. Elliptic potentials and boundary value problems (W.Wendland, Germany). Coffee break (11.50-12.20). Room# 219 12.20-12.55. Reconstruction of electromagnetic obstacles via integral equations (O.Ivanyshyn Yaman, F.Le Louer, Turkey-France). 12.55-13.30. Numerical integration from IBC perspective (L.Plaskota, Poland). Lunch (13.30-14.40) Parallel Sessions (14.40-18.20) Session "Integral Equations for Applied Problems". Room # 111. Chair: S.Solodky 14.40-15.00. On the numerical solution of the elastodynamic problem by a combination of the Laguerre transformation and the boundary integral equation method (R.Chapko, L.Mindrinos, Ukraine-Austria). 15.00-15.20. Solution of inverse problem Cauchy type (design) for plane layer (M.Ciałkowski, A.Frąckowiak, J.Kołodziej, Ł.Semkło, J.Mosiężny, U.Gampe, Poland-Germany). 15.20-15.40. On the numerical solution of the Neumann problem for an elliptic equation with variable coefficients by an integral equation approach (A.Beshley, 15.40-16.00. On the complexity of some classes of equations of the first kind (G.L.Myleiko, I.V.Semenova, S.G.Solodky, 16.40-17.00. BEM solution of transient magnetohydrodynamic flows in ducts (H.Fendoglu, C.Bozkaya, M.Tezer-Sezgin, Turkey). 17.00-17.20. Heat transfer in an annulus enclosure under the influence of multiple magnetic sources (F.S.Oglakkaya, C.Bozkaya, Turkey).

17.20-17.40. Direct boundary integral equation method for solving initial boundary value Dirichlet problem for homogeneous wave equation (O.Midiana, S.Litynskyy, 17.40-18.00. On the numerical solution of the initial boundary value problem with Neumann condition for homogeneous wave equation (H.Posivnych, S.Litynskyy, 18.00-18.20. On numerical solution of retarded potential boundary integral equations via coupling of Laguerre transform with fast-bem (O.Midiana, H.Posivnych, S.Litynskyy, Session "FEM with Applications". Mirror Hall Chair: H.Shynkarenko 14.40-15.00. Mathematical modeling of unsteady flows of incompressible heat conducting fluid by the Galerkin and R-functions methods (A.V.Artiukh, 15.00-15.20. Parallel domain decomposition algorithms for thermoelastic multibody contact problems (I.I.Dyyak, I.I.Prokopyshyn, 15.20-15.40. Differential difference iterative domain decomposition algorithms for problem of unilateral contact between nonlinear elastic bodies with Winkler cover (I.I.Prokopyshyn, S.M.Shakhno, 15.40-16.00. Numerical analysis of a posteriori error estimators of finite element approximations for the dual torsion problem (H.A.Kvasnytsia, H.A.Shynkarenko, B.B.Vasylyshyn, Ukraine-Poland). 16.40-17.00. Numerical solution of variational problems of surface and channel flows by finite elements method (Y.Kokovska, M.Prytula, P.Venherskyi, 17.00-17.20. Application of certain hp-adaptive finite element strategy to nonsymmetric convection-diffusionreaction problems (R.G.Drebotiy, H.A.Shynkarenko, Ukraine-Poland). 17.20-17.40. Benchmark for some residual a posteriori error estimators of finite element approximations (O.V.Vovk, H.A.Shynkarenko, Ukraine-Poland). 17.40-18.00. Numerical investigation of the problem of cancer tumor growth (L.M.Diakoniuk, Ya.H.Savula, A.R.Kavetsky, Yu.O.Yashchuk, 18.00-18.20. Numerical solution of the multiscale elasticity problems for the structures with thin covers (Ya.H.Savula, A.Styahar, Ukraine-Italy). Session "Numerical Methods for Non-Linear Equations". Room #216 Chair: S.Shakhno 14.40-15.00. Finding the number of eigenvalues for two-parameter spectral problems in a some domain (B.M.Podlevskyi, 15.00-15.20. Construction of two-sided approximations to positive solutions of boundary value problems for nonlinear elliptic systems (M.Sidorov, 15.20-15.40. Spatial analogues of numerical quasiconformal mapping method for solving problems of identification (A.Ya.Bomba, M.V.Boichura, Ukraine) 15.40-16.00. A sampling approach to identification of a conducting inhomogenity from electrostatic boundary data (A.T.Synyavskyy, R.O.Hryniv, M.Shahin, Ukraine-USA).

16.40-17.00. Some combined iterative methods for solving nonlinear least squares problems (S.M.Shakhno, 17.00-17.20. On some combined methods for solving nonlinear equations (H.P.Yarmola, 17.20-17.40. Three-step method for solving least-square problem (M.Ya.Bartish, O.V.Kovalchuk, 17.40-18.00. Theoretical background of researches of modified Moore method based on the mathematics of functional intervals (P.S.Senyo, T.I.Stoiko, 18.00-18.20. Comparative analysis of explicit and implicit schemes for a non-linear boundary value problem (I. Mukha, I. Prusak, Conference diner (19.00-23.00). Restoran "ArtMaestro", Lystopadovogo Chynu str.6. Friday, 29.09.2017 Plenary session (10.00-13.00). Mirror Hall Chair: L.Plaskota 10.00-10.30. Numerical analysis of heteregeneous model for elastic body with thin flexible inclusion (Ya.Savula, 10.30-11.00. One-step methods for singular initial value problems (M.Kròl, A.V.Kunynets, M.V.Kutniv, Poland- 11.00-11.30. The extended Kantorovich method for von Karman equations (V.A.Gromov, Ukraine) Coffee break (11.30-12.00). Room #219 12.00-12.30. Exponentially convergent methods for nonlocal problems in abstract setting (V.Vasylyk, 12.30-13.00. Analytical and numerical methods for solving nonlinear partial differential equations (H.M.Baskonus, Turkey). Lunch (13.00-14.00) Parallel Sessions (14.00-19.20) Session "Integral Equations for Applied Problems". Room # 111. Chair: O. Ivanyshyn Yaman 14.00-14.20. Boundary element method in determining the stressstrain state of composite coating in tribological systems (V.V.Mozharovsky, N.A.Maryina, K.B.Ghazaryan,Belarus-Armenia). 14.20-14.40. On Laguerre-Fast-BEM for Robin initial-boundary value problems for the wave equation (A.Hlova, A.Muzychuk, 14.40-15.00. Fast-convergent dynamic Green's functions for boundary integral formulation of 3D periodic crack problems (V.V.Mykhas kiv, I.Ya.Zhbadynskyi,

15.00-15.20. Uniform numerical nethods for singularly perturbed integro-differential equations with delay (F.Erdogan, M.G.Sakar, O.Saldir, Turkey). 15.20-15.40. Transformation of discrete singularities in the numerical method for singular equations (D.Cherniy, S.Dovgiy, 15.40-16.00. On the numerical solution of a Cauchy problem for the elastostatic equation in doubly connected planar domains (M.Shkolyk, Ukraine) Coffee break (16.00-16.40) Room #219 16.40-17.00. Numerical realization of boundary element method for modeling of dynamics of threedimensional homogeneous porous elastic bodies (D.Bobyliev, 17.00-17.20. On some transmission boundary value problem for Laplace equation in domain with open Lipschitz curve (Yu.M.Sybil, 17.20-17.40. Integral equations method for planar heat conduction problem realized via H-matrix technique (V.Vavrychuk, 17.40-18.00. Numerical solution of a 3-dimensional Cauchy problem for the Laplace equation by boundary integral equation based method (I.Borachok, 18.00-18.20. On numerical solution of initial-boundary value problems for the wave equation in the halfspace with inclusions (Yu.Muzychuk, Ukraine) Session "Numerical Methods for Non-Linear Equations". Room #216 Chair: H.Bulut 14.00-14.20. New complex hyperbolic structures to the lonngren-wave large equation by using sine-gordon expansion method (H.M.Baskonus, H.Bulut, T.A.Sulaiman, Turkey-Nigeria). 14.20-14.40. Some new feature in complex domain of the nonlinear model arising in the dynamics of ionic currents along microtubules (E.Celik, H.Bulut, H.M.Baskonus, Turkey). 14.40-15.00. Modified operational matrix method for second-order nonlinear ordinary differential equations with quadratic and cubic terms (B. Gürbüz, M.Sezer, Turkey). 15.00-15.20. Exact solutions of the nonlinear differential equation via (w/g) expansion method (F.Tascan, A.Akbulut, Turkey). 15.20-15.40. A novel method for Wu-Zhang system (S.T.Demiray, H.Bulut, Turkey). 15.40-16.00. On the exact solutions of Drinfeld-Sokolov system (S.T.Demiray, H.Bulut, Turkey). 16.40-17.00. Summability of series by nonlinear Fourier basis and Bernstein inequality (H.Aslan, Turkey). 17.00-17.20. New surfaces to the Benjamin-Bona-Mahony-Peregrine-Burgers equation by using modified exponential function method (A.Esen, H.Bulut, H.M.Baskonus, Turkey). 17.20-17.40. The characterization of affine symmetric curve in R^4 (M.Bektas, E.Cicek Cetin, Turkey). 17.40-18.00. A note on a anti-periodic boundary value problem for nonlinear differantial equations (M.Tuz, Turkey). 18.00-18.20. Positive solution for some nonlinear second order boundary value problems (M.Tuz, Turkey).

18.20-18.40. The geodesic equation on time scales with symmetric differential (Ö.Akgüller, S.P.Atmaca, Turkey). 18.40-19.00. On semi q- discrete surface of revolution (S.P.Atmaca, N.Ozsoy, E.Karaca, Turkey). Session "Mathematical Modeling and Computational Methods". Mirror Hall Chair: I.I.Dyyak 14.00-14.20. Estimate of parameters of difference equations under uncertainty (O.G.Nakonechnyi, P.M.Zinko, 14.20-14.40. Parallel numerical method for abstract final value problem based on nonlocal regularization (D.Sytnyk, 14.40-15.00. Multifrequency systems with delay and with initial and boundary-value condutions (Ya.I.Bihun, 15.00-15.20. Methods of statistical modeling of stochastic differential equation solutions (A.O.Pashko, 15.20-15.40. A class of fully discrete TVD schemes form solving hyperbolic conservation laws (J.Farzi, Iran). 15.40-16.00. Optimal order maximum principle preserving DST scheme for linear hyperbolic conservation laws (S. Mousavi Yeganeh, J.Farzi, Iran). 16.40-17.00. Carbon monoxide oxidation on the catalytic surface: modeling and stability (P.Kostrobii, I.Ryzha, 17.00-17.20. Generalization of the Thiele fraction (V.Makarov, I.Demkiv, 17.20-17.40. Usage of clustering in the process of banking analysis in Ukraine (V.M.Domrachev, O.V.Liahovska, 17.40-18.00. Numerical solution of optimal control problems for one-dimensional semilinear partial differential equations (M.V.Shcherbatyy, 18.00-18.20. Generator stochastic approximation procedure in semi-markov space (Ya.M.Chabanyuk, U.T.Khimka, W.Rosa, Ukraine-Poland). 18.20-18.40. Problem with integral conditions for homogeneous system of partial differential equations (G.Kuduk, Poland). 18.40-19.00. Financial temporary data and their analysis (I.Didmanidze, G.Kakhiani, Georgia). 19.00-19.20. Safety in wireless local networks (I.Didmanidze, Z.Beridze, Georgia).