Personal Details. Address Universytetska Lviv, Ukraine Mobile phone +38 (067) s Web

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1 Curriculum Vitae Personal Details Date/Place of Birth Citizenship Marital status 03/11/1953 in Krymne village, Ukraine Ukrainian Married, one child Address Universytetska Lviv, Ukraine Mobile phone +38 (067) s shakhno@lnu.edu.ua Web Research Interests Stepan Shakhno Numerical methods for solving of nonlinear functional equations, nonlinear boundary value problems; iterative methods for solving optimization problems and nonlinear least squares problems Professional Experience 09/2012 present Professor, Department of Computational Mathematics, Ivan Franko National University of Lviv, Ukraine 02/ /2015 Vice-dean, Faculty of Applied Mathematics and Informatics, Ivan Franko National University of Lviv, Ukraine 09/ /2012 Associate Professor, Department of Computational Mathematics, Ivan Franko National University of Lviv, Ukraine. Research was conducted under the scientific themes: Development and research of effective methods for solving nonlinear equations, Development and research of iterative methods for solving functional equations and optimization problems, Methods for solving optimization problems and its applications, Development and research of methods for solving linear and nonlinear problems of computational mathematics. Doctor of Physics and Mathematics in speciality Mathematical modeling and numerical methods (2012). Dissertation: Difference and parametric iterative methods for solving nonlinear problems, Kyiv National University. Advisor: Prof. Dr. Mykhailo Bartish 02/ /1994 Head of Research Laboratory, Faculty of Applied Mathematics and Informatics, Ivan Franko National University of Lviv, Ukraine 10/ /1987 Engineer, junior scientific researcher, senior scientific researcher, Research Laboratory-63, Faculty of Applied Mathematics and Mechanics, Ivan Franko National University of Lviv, Ukraine Education 10/ /1980 Doctoral studies, Faculty of Applied Mathematics and Mechanics, Ivan Franko National University of Lviv, Ukraine. Ph. D. in Computational Mathematics, graduated Spring Dissertation Development and research of some methods of the Newton - Kantorovich type for solving nonlinear functional equations. Supervisor: Prof. Dr. Mykhailo Bartish 09/ /1977 Master of Science in Applied Mathematics, Faculty of Applied Mathematics and Mechanics, Ivan Franko National University of Lviv, Ukraine. Supervisor: Prof. Dr. Mykhailo Bartish 1

2 Curriculum Vitae Stepan Shakhno Funding and Awards 2014 University of Warsaw. Internships at the University for one week. Supervisor: Prof. Dr. Leszek Plaskota 2010 Universität Innsbruck. Austrian-Ukrainian Cooperation fellowship (Austria) for one month. Supervisor: Prof. Dr. Alexander Ostermann 2003 Universität Wien. Austrian-Ukrainian Cooperation fellowship (Austria) for one month. Supervisor: Prof. Dr. Arnold Neumaier 1999 Universität Karlsruhe. DAAD fellowship (Germany) for two months. Supervisor: Prof. Dr. Gtz Alefeld 1995 Member of GAMM (Germany) Teaching Numerical methods for solving nonlinear functional equations. Iterative solving of nonlinear boundary problems. Numerical methods of linear algebra Skills and Competences Technical Skills Languages Journal Articles Programming: Fortran, Pascal, MATLAB Ukrainian (native), Russian (fluent), German (good), English (satisfactory) Shakhno S.M. Combined Newton-Kurchatov method under the generalized Lipschitz conditions for the derivatives and divided differences. In: Journal of Numerical and Applied Mathematics (Kyiv) (2015), pp Iakymchuk R. and Shakhno S. Methods with Successive and Parallel Approximations of Inverse Operator for the Nonlinear Least Squares Problem. In: PAMM. Special issue: The 86th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM). Lecce, Italy 15 (2015), pp Shakhno S.M. Convergence of the two-step combined method and uniqueness of the solution of nonlinear operator equations. In: Journal of Computational and Applied Mathematics 261 (2014), pp Shakhno S.M. and Yarmola H.P. On the two-step Secant type method for solving nonlinear equations. In: Matematychni Studii 42.1 (2014), pp (in Ukrainian) Shakhno S.M. On convergence of accelerated Newton method under the generalized Lipschitz conditions. In: Mathematical methods and physicomechanical fields 57.1 (2014), pp (in Ukrainian) Iakymchuk R. and Shakhno S. On the Convergence Analysis of a Two-Step Modification of the Gauss-Newton Method. In: PAMM. Special issue: The 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM). Erlangen, Germany 14 (2014), pp Shakhno S.M., Melnyk I.V., and Yarmola H.P. Analysis of the convergence of a combined method for the solution of nonlinear equations. In: Journal of Mathematical Sciences (2014), pp

3 Shakhno S.M. and Yarmola H.P. Convergence conditions of the two-parametric Secant type method for solving nonlinear equations taking into account errors. In: Taurida Journal of Computer Science Theory and Mathematics 2 (2013), pp Shakhno S.M. and Yarmola H.P. Two-step Secant type method with approximation of the inverse operator. In: Carpathian Mathematical Publications 5.1 (2013), pp (in Ukrainian) Shakhno S.M. Iterative methods for solving nonlinear least squares problems. Numerical and Applied Mathematics (Kyiv) (2013), pp In: Journal of Shakhno S.M. Convergence of combined Newton-Secant method and uniqueness of the solution of nonlinear equations. In: Visnyk Ternopil National Technical University 69 (2013), pp (in Ukrainian) Shakhno S., Ubizskyy D., and Yarmola H. The use of accelerated Newton method and difference methods for the problem of defining periodic modes in nonlinear dynamical systems. In: Visnyk of the Lviv University. Series Appl. Math. and Informatics 19 (2013), pp (in Ukrainian) Shakhno S. and Yarmola H. Two-step method for solving nonlinear equations with nondifferentiable operator. In: Journal of Numerical and Applied Mathematics (Kyiv) (2012), pp Shakhno S. and Yarmola H. On error estimates for a two-parametric Secant type method for solving nonlinear equations. In: Mathematical bulletin of the Shevchenko scientific society 9 (2012), pp (in Ukrainian) Shakhno S.M. Iterative-difference methods for solving nonlinear operator equations. In: Journal of Numerical and Applied Mathematics (Kyiv) (2012), pp (in Ukrainian) Shakhno S.M. and Yarmola H.P. On the two-step method for solving nonlinear equations with nondifferentiable operator. In: PAMM. Special issue: The 83th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) 12.1 (2012), pp Shakhno S.M. Iterative algorithm with convergence order 1, under the generalized Lipschitz conditions for the divided differences. In: Visnyk of the National University Lviv Polytechnic, Series physics and mathematics 740 (2012), pp (in Ukrainian) Shakhno S.M. Local convergence of the two-step Newton type method for solving nonlinear equations under the generalized Lipschitz conditions. In: Physical and mathematical modeling and information technologies 16 (2012), pp (in Ukrainian) Shakhno S.M. Method of linear interpolation of Kurchatov under generalized Lipschitz conditions for divided differences of first and second order. In: Visnyk of the Lviv University. Series Mech. Math. 77 (2012), pp (in Ukrainian) Shakhno S. and Yarmola H. Application of two-parametric difference method for solving nonlinear integral equations. In: Visnyk of the Lviv University. Series Appl. Math. and Informatics 17 (2011), pp (in Ukrainian) Shakhno S.M. and Yarmola H.P. Two point method for solving nonlinear equation with nondifferentiable operator. In: Matematychni Studii 36.2 (2011), pp (in Ukrainian) Shakhno S.M. Convergence of inexact difference methods under the generalized Lipschitz conditions. In: Journal of Mathematical Sciences (2010), pp Shakhno S.M. and Yarmola H.P. Iterative-difference methods in nonstationary heat conduction problems. In: Mathematical and computer modelling: scientific journal. Series: Physical and mathematical sciences 3 (2010), pp (in Ukrainian) Short Papers and Abstracts Shakhno S.M. and Yarmola H.P. Combined high order methods for solving nonlinear equations. In: Proceedings of VIII International Conference of Academician I.I. Lyashko Computational and Applied Mathematics. Kyiv, Ukraine, 2015, p. 91. (in Ukrainian) 3

4 Shakhno S.M., Bodnar O.Ya., and Yarmola H.P. Combined Newton-Broyden method for solving nonlinear equations. In: Actual Problems in Applied Mathematics and Informatics: collection of scientific works. Lviv, Ukraine, 2015, pp (in Ukrainian) Shakhno S.M. and Yarmola H.P. On the combined Newton-Potra method for solving nonlinear equations. In: Abstracts of XXVI International Conference Problems of decision making under uncertainties (PDMU ). Odessa, Ukraine, 2015, pp (in Ukrainian) Shakhno S.M. and Yarmola H.P. Combined Kurchatov-Newton method for solving nonlinear equations. In: Book of Abstracts of XXV International Conference Problems of decision making under uncertainties (PDMU ). Skhidnytsia, Ukraine, 2015, pp (in Ukrainian) Shakhno S.M. Local behavior of one-step methods for solving nonlinear equations with nonsmooth operator under generalized Lipschitz conditions. In: Book of Abstracts of XXV International Conference Problems of decision making under uncertainties (PDMU ). Skhidnytsia, Ukraine, 2015, pp (in Ukrainian) Iakymchuk R. and Shakhno S. Methods with Successive and Parallel Approximations of Inverse Operator for the Nonlinear Least Squares Problem. In: Book of Abstracts of the 86th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM). Lecce, Italy, 2015, p. 92. Shakhno S.M. On the local convergence of iterative methods for solving nonlinear equations with nondifferentiable operator under generalized Lipschitz conditions. In: Proceedings of the International Conference Modern problems of mathematical modeling and computational methods. Rivne, Ukraine, 2015, p (in Ukrainian) Shakhno S.M. and Yarmola H.P. Some methods for solving nonlinear inverse eigenvalue problem. In: Proceedings of the International Conference Modern problems of mathematical modeling and computational methods. Rivne, Ukraine, 2015, p (in Ukrainian) Shakhno S.M. and Yarmola H.P. Two-step method for solving inverse eigenvalue problem. In: Proceedings of VII International Conference of Academician I.I. Lyashko Computational and Applied Mathematics. Kyiv, Ukraine, 2014, p (in Ukrainian) Shakhno S.M. and Yarmola H.P. Semilocal convergence analysis of combined methods. In: Book of Abstracts of XXIV International Conference Problems of decision making under uncertainties (PDMU2014). Chesky Rudolec, Czech Republic, (in Ukrainian) Shakhno S.M. Local behavior one-step method for solving nonlinear equations with nonsmooth operator under the generalized Lipschitz conditions. In: Book of Abstracts of XXIII International Conference Problems of decision making under uncertainties (PDMU2014). Mukachevo, Ukraine, 2014, pp (in Ukrainian) Shakhno S.M. Combined Newton-Kurchatov method for solving nonlinear equations. In: Book of Abstracts of XXIII International Conference Problems of decision making under uncertainties (PDMU2014). Mukachevo, Ukraine, 2014, pp (in Ukrainian) Shakhno S.M., and Yarmola H.P. On the two-step two-parametric Secant type method for solving nonlinear equations. In: Book of Abstracts of I International (XX Ukrainian) Scientific Conference Actual Problems in Applied Mathematics and Informatics. Lviv, Ukraine, 2014, p. 30. (in Ukrainian) Iakymchuk R. and Shakhno S. On the convergence analysis of a two-step modification of the Gauss- Newton. In: Book of Abstracts of the 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM). Erlangen, Germany, 2014, p Shakhno S.M. and Yarmola H.P. On semi-local convergence of the combined two-step method for solving nonlinear equations under generalized Lipschitz conditions. In: Book of Abstracts of XVIII 4

5 National Scientific Conference Actual Problems in Applied Mathematics and Informatics. Lviv, Ukraine, 2013, pp (in Ukrainian) Shakhno S.M. On the convergence of two-step combined method under generalized Lipschitz conditions. In: Book of Abstracts of XXII International Conference Problems of decision making under uncertainties (PDMU ). Yalta, Ukraine, 2013, pp (in Ukrainian) Shakhno S.M. Combined Newton-Kurchatov method method under generalized Lipschitz conditions conditions for derivatives of the first order and divided differences of first and second order. In: Proceedings of VII International Conference of Academician I.I. Lyashko Computational and Applied Mathematics. Kyiv, Ukraine, 2013, pp (in Ukrainian) Shakhno S.M. and Yarmola H.P. On the semi-local convergence of the two-step method with convergence order under generalized Lipschitz conditions. In: Proceedings of VII International Conference of Academician I.I. Lyashko Computational and Applied Mathematics. Kyiv, Ukraine, 2013, pp (in Ukrainian) Shakhno S.M. On convergence of the two-step Newton type method for solving nonlinear equations. In: Abstracts International Scientific Conference Actual problems of mechanics and mathematics. Lviv, Ukraine, 2013, pp (in Ukrainian) Shakhno S.M. On an iterative algorithm of linear interpolation for the solving nonlinear equations under the generalized Lipschitz conditions. In: Book of Abstracts of XXI International Conference Problems of decision making under uncertainties (PDMU ). Skhidnytsia, Ukraine, 2013, p. 58. (in Ukrainian) Shakhno S.M. and Yarmola H.P. On the semi-local convergence of the two-step method with convergence order under generalized Lipschitz conditions. In: Proceedings of VII International Conference of Academician I.I. Lyashko Computational and Applied Mathematics. Kyiv, Ukraine, 2013, pp (in Ukrainian) Shakhno S.M. On an iterative algorithm of linear interpolation for the solving nonlinear equations under the generalized Lipschitz conditions. In: Book of Abstracts of XXI International Conference Problems of decision making under uncertainties (PDMU ). Skhidnytsia, Ukraine, 2013, p. 58. (in Ukrainian) Shakhno S.M. On the method with convergence order under the weak Lipschitz conditions for divided differences. In: Book of Abstracts of XXI International Conference Problems of decision making under uncertainties (PDMU ). Skhidnytsia, Ukraine, 2013, p (in Ukrainian) Shakhno S.M. and Yarmola H.P. On the two-step Secant type method and its modification with parallel approximation of inverse operator. In: Book of Abstracts of XXI International Conference Problems of decision making under uncertainties (PDMU ). Skhidnytsia, Ukraine, 2013, p (in Ukrainian) Shakhno S.M. On the combined Newton-Secant method and uniqueness of the solution of nonlinear equations. In: Proceedings of the Scientific Conference Modern problems of mathematical modeling and computational methods. Rivne, Ukraine, 2013, p (in Ukrainian) Shakhno S.M. and Yarmola H.P. On the one-step Secant type method with approximation of inverse operator. In: Proceedings of the Scientific Conference Modern problems of mathematical modeling and computational methods. Rivne, Ukraine, 2013, p (in Ukrainian) Shakhno S.M. and Yarmola H.P. Convergence of the accelerated Newton under generalized Lipschitz conditions. In: Book of Abstracts of XVIII National Scientific Conference Actual Problems in Applied Mathematics and Informatics. Lviv, Ukraine, 2012, pp (in Ukrainian) Shakhno S.M. and Yarmola H.P. Combined method method for solving nonlinear operator equations. In: Proceedings of V International Conference of Academician I.I. Lyashko Computational and Applied Mathematics. Kyiv, Ukraine, 2012, p. 92. (in Ukrainian) 5

6 Shakhno S.M. and Yarmola H.P. Convergence conditions of the two-parametric Secant type method for solving nonlinear equations taking into account errors. In: Book of Abstracts of XX International Conference Problems of decision making under uncertainties (PDMU ). Brno, Czech Republic, 2012, pp (in Russian) Shakhno S.M. and Yarmola H.P. Two-step method with successive approximation of inverse operator. In: Book of Abstracts XIX of International Conference Problems of decision making under uncertainties (PDMU ). Mukachevo, Ukraine, 2012, pp (in Ukrainian) Shakhno S.M. and Yarmola H.P. On the two-step method for solving nonlinear equations with nondifferentiable operator. In: Book of Abstracts 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics GAMM Darmstadt, Germany, 2012, pp Shakhno S.M. and Yarmola H.P. Some methods for solving nonlinear equations with nondifferentiable operator. In: Book of Abstracts of XVII National Scientific Conference Actual Problems in Applied Mathematics and Informatics. Lviv, Ukraine, 2011, p (in Ukrainian) Shakhno S.M. and Yarmola H.P. Application of difference methods for finding periodic modes of nonlinear systems. In: Book of Abstracts of XVIII International Conference Problems of decision making under uncertainties (PDMU ). Yalta, Ukraine, 2011, pp (in Ukrainian) Shakhno S.M. and Yarmola H.P. Two-step method for solving nonlinear equations with nondifferentiable operator. In: Proceedings of IV International Conference of Academician I.I. Lyashko Computational and Applied Mathematics. Kyiv, Ukraine, 2011, p (in Ukrainian) Shakhno S.M. and Yarmola H.P. Two-point method for solving nonlinear equations with nondifferentiable operator. In: Book of Abstracts of XVII International Conference Problems of decision making under uncertainties (PDMU ). Skhidnytsia, Ukraine, 2011, pp (in Ukrainian) Thesis Shakhno S.M. Difference and parametric iterative methods for solving nonlinear problems. Thesis of dissertation of Doctor of Physics and Mathematics in speciality Mathematical modeling and numerical methods, p. (in Ukrainian) Lviv, November 28th,