Trushevs’kyj, V.; Shynkarenko, G.; Shcherbyna, N. Definition of the non-stationary temperature field in the plate under mixed conditions of heat exchange with application of new algorithm based on artifical neural networks. (Ukrainian. English summary) Zbl 1164.74483 Visn. L’viv. Univ., Ser. Prykl. Mat. Inform. 2008, No. 14, 155-169 (2008). MSC: 74K20 80A20 PDFBibTeX XMLCite \textit{V. Trushevs'kyj} et al., Visn. L'viv. Univ., Ser. Prykl. Mat. Inform. 2008, No. 14, 155--169 (2008; Zbl 1164.74483)
Chaban, F.; Shynkarenko, G. Postprocessing polylinear approximation refinement of finite element method in problems of pieces migration. (Ukrainian. English summary) Zbl 1164.76392 Visn. L’viv. Univ., Ser. Prykl. Mat. Inform. 2007, No. 13, 164-176 (2007). MSC: 76R50 76M10 PDFBibTeX XMLCite \textit{F. Chaban} and \textit{G. Shynkarenko}, Visn. L'viv. Univ., Ser. Prykl. Mat. Inform. 2007, No. 13, 164--176 (2007; Zbl 1164.76392)
Trushevs’kyj, V.; Shynkarenko, G.; Shcherbyna, N. Application of neural networks for solving of heat conductivity problems. (Ukrainian. English summary) Zbl 1164.80303 Visn. L’viv. Univ., Ser. Prykl. Mat. Inform. 2007, No. 13, 151-163 (2007). MSC: 80A20 65N55 PDFBibTeX XMLCite \textit{V. Trushevs'kyj} et al., Visn. L'viv. Univ., Ser. Prykl. Mat. Inform. 2007, No. 13, 151--163 (2007; Zbl 1164.80303)
Sinchuk, Y.; Shynkarenko, G. The exponential FEM approximations for singularly perturbed problems convection-diffusion-reaction. (Ukrainian. English summary) Zbl 1164.65503 Visn. L’viv. Univ., Ser. Prykl. Mat. Inform. 2007, No. 12, 157-169 (2007). MSC: 65N30 35B25 35J25 65N12 PDFBibTeX XMLCite \textit{Y. Sinchuk} and \textit{G. Shynkarenko}, Visn. L'viv. Univ., Ser. Prykl. Mat. Inform. 2007, No. 12, 157--169 (2007; Zbl 1164.65503)
Gachkevych, O.; Smirnov, O.; Shynkarenko, G. Numerical modelling of nonlinear semiconductor device processes. (Ukrainian. English summary) Zbl 1090.78001 Visn. L’viv. Univ., Ser. Prykl. Mat. Inform. 2005, No. 10, 98-110 (2005). MSC: 78A35 78M30 78M10 65Z05 82D37 PDFBibTeX XMLCite \textit{O. Gachkevych} et al., Visn. L'viv. Univ., Ser. Prykl. Mat. Inform. 2005, No. 10, 98--110 (2005; Zbl 1090.78001)
Kozel, A.; Shynkarenko, G. Iterative reconstruction of Galerkin approximation for advection-diffusion problem by the least-squares method. (Ukrainian. English summary) Zbl 1088.76550 Visn. L’viv. Univ., Ser. Prykl. Mat. Inform. 2004, No. 9, 164-171 (2004). MSC: 76M10 76R99 PDFBibTeX XMLCite \textit{A. Kozel} and \textit{G. Shynkarenko}, Visn. L'viv. Univ., Ser. Prykl. Mat. Inform. 2004, No. 9, 164--171 (2004; Zbl 1088.76550)
Golub, N.; Shynkarenko, G.; Shcherbyna, Yu. Application of the neural network for solution of the Sturm-Liouville boundary value problems. (Ukrainian. English summary) Zbl 1091.65083 Visn. L’viv. Univ., Ser. Prykl. Mat. Inform. 2004, No. 8, 23-37 (2004). MSC: 65L60 92B20 65L10 34B05 PDFBibTeX XMLCite \textit{N. Golub} et al., Visn. L'viv. Univ., Ser. Prykl. Mat. Inform. 2004, No. 8, 23--37 (2004; Zbl 1091.65083)
Kvasnytsya, H.; Shynkarenko, G. Comparison of simple a posterior error estimators in finite element analysis for elastostatics problems. (Ukrainian. English summary) Zbl 1063.65584 Visn. L’viv. Univ., Ser. Prykl. Mat. Inform. 2003, No. 7, 162-174 (2003). MSC: 65N30 74S05 65N12 65N15 35J25 74B05 65N50 PDFBibTeX XMLCite \textit{H. Kvasnytsya} and \textit{G. Shynkarenko}, Visn. L'viv. Univ., Ser. Prykl. Mat. Inform. 2003, No. 7, 162--174 (2003; Zbl 1063.65584)
Fundak, O.; Shynkarenko, G. Barycentric representation of the basis functions for Raviart-Thomas approximations. (Ukrainian. English summary) Zbl 1063.65583 Visn. L’viv. Univ., Ser. Prykl. Mat. Inform. 2003, No. 7, 102-114 (2003). MSC: 65N30 PDFBibTeX XMLCite \textit{O. Fundak} and \textit{G. Shynkarenko}, Visn. L'viv. Univ., Ser. Prykl. Mat. Inform. 2003, No. 7, 102--114 (2003; Zbl 1063.65583)
Shynkarenko, G.; Kozarevs’ka, Y. Regularization of numerical solutions of variational problems of substance migration: an adaptive finite element method. I. (Ukrainian. English summary) Zbl 1122.76389 Visn. L’viv. Univ., Ser. Prykl. Mat. Inform. 2002, No. 5, 153-164 (2002). MSC: 76R50 76M10 PDFBibTeX XMLCite \textit{G. Shynkarenko} and \textit{Y. Kozarevs'ka}, Visn. L'viv. Univ., Ser. Prykl. Mat. Inform. 2002, No. 5, 153--164 (2002; Zbl 1122.76389)
Kvasnytsya, H.; Shynkarenko, G. Adaptive approximations of the finite element method for elasticity problem. (Ukrainian. English summary) Zbl 1122.74341 Visn. L’viv. Univ., Ser. Prykl. Mat. Inform. 2002, No. 5, 95-106 (2002). MSC: 74B99 74S05 PDFBibTeX XMLCite \textit{H. Kvasnytsya} and \textit{G. Shynkarenko}, Visn. L'viv. Univ., Ser. Prykl. Mat. Inform. 2002, No. 5, 95--106 (2002; Zbl 1122.74341)
Vengers’kyj, P.; Trushevs’kyj, V.; Shynkarenko, G. Stabilization of the numerical solution of a variational problem of shallow water flow. (Ukrainian. English summary) Zbl 1122.76327 Visn. L’viv. Univ., Ser. Prykl. Mat. Inform. 2002, No. 4, 102-109 (2002). MSC: 76D33 76M10 PDFBibTeX XMLCite \textit{P. Vengers'kyj} et al., Visn. L'viv. Univ., Ser. Prykl. Mat. Inform. 2002, No. 4, 102--109 (2002; Zbl 1122.76327)
Kozel, A.; Fundak, O.; Shynkarenko, G. Numerical analysis of mixed variation problems for advection-diffusion equations. I: Problems formulations and FEM schemes. (Ukrainian. English summary) Zbl 1122.76387 Visn. L’viv. Univ., Ser. Prykl. Mat. Inform. 2002, No. 4, 51-60 (2002). MSC: 76R50 76M30 PDFBibTeX XMLCite \textit{A. Kozel} et al., Visn. L'viv. Univ., Ser. Prykl. Mat. Inform. 2002, No. 4, 51--60 (2002; Zbl 1122.76387)
Kondratyuk, Ya.; Shynkarenko, G. Analysis of solvability of mixed variational problems for the linear viscoelasticity in terms of velocity. (Ukrainian. English summary) Zbl 1054.74542 Visn. L’viv. Univ., Ser. Prykl. Mat. Inform. 2000, No. 2, 126-134 (2000). MSC: 74D10 74S30 PDFBibTeX XMLCite \textit{Ya. Kondratyuk} and \textit{G. Shynkarenko}, Visn. L'viv. Univ., Ser. Prykl. Mat. Inform. 2000, No. 2, 126--134 (2000; Zbl 1054.74542)
Kozarevs’ka, Yu.; Shynkarenko, G. The analysis of similarity laws and the sensitivity of substance migration problem solutions to coefficient perturbations. (Ukrainian. English summary) Zbl 0993.92008 Visn. L’viv. Univ., Ser. Prykl. Mat. Inform. 2000, No. 2, 116-125 (2000). MSC: 92C35 76M30 92C99 PDFBibTeX XMLCite \textit{Yu. Kozarevs'ka} and \textit{G. Shynkarenko}, Visn. L'viv. Univ., Ser. Prykl. Mat. Inform. 2000, No. 2, 116--125 (2000; Zbl 0993.92008)
Fundak, O. V.; Shynkarenko, G. A. Numerical solution of variational problems for the motion of shallow water in basins. (Ukrainian. English summary) Zbl 0972.35096 Visn. L’viv. Univ., Ser. Prykl. Mat. Inform. 1999, No. 1, 236-242 (1999). MSC: 35Q35 76M30 PDFBibTeX XMLCite \textit{O. V. Fundak} and \textit{G. A. Shynkarenko}, Visn. L'viv. Univ., Ser. Prykl. Mat. Inform. 1999, No. 1, 236--242 (1999; Zbl 0972.35096)
Bernakevych, I. Ye.; Shynkarenko, G. A. Cylindrical shell influence on spreading a shock wave in the fluid filling. (Ukrainian. English summary) Zbl 1054.76504 Visn. L’viv. Univ., Ser. Prykl. Mat. Inform. 1999, No. 1, 13-20 (1999). MSC: 76B10 65N30 PDFBibTeX XMLCite \textit{I. Ye. Bernakevych} and \textit{G. A. Shynkarenko}, Visn. L'viv. Univ., Ser. Prykl. Mat. Inform. 1999, No. 1, 13--20 (1999; Zbl 1054.76504)