Numerical solution of direct and inverse problems using integral equations method.

• Algorithms for Computing Processes (Applied Mathematics)
• Architecture of Computer Systems (am)
• Educational Practice (Computational Mathematics)
• Genetic algorithms (PM)
• Methods of functional analysis in applied research
• Numerical Methods (am)
• Systems of Computer Mathematics in Scientific Researches (am)

1. Beshley A.V. On solving the Dirichlet boundary value problem for the conductivity equation by integral equations methods / A. V. Beshley Матеріали XXVII Всеукраїнської наукової конференції “Сучасні проблеми прикладної математики та комп’ютерних наук”, присвяченої 50-річчю кафедри теорії оптимальних процесів, Львів, Україна, 7-9 листопада 2023 р. – 2023. – С. 34-38.
2. Beshley A. Numerical solution of the interior Dirichlet boundary value problem for the generalized Laplace equation by the boundary integral equations method. / A. Beshley, D. Afanasiev // Visnyk of the Lviv University. Series Applied Mathematics and Computer Science. №30. – 2022. – P. 12-26.
3. Beshley A.V. On the numerical integration of singular double integrals using Green’s theorem. / A.V. Beshley // Журнал обчислювальної та прикладної математики. – 2021. –  №3 (137) – С. 17-32.
4. Beshley A. On the alternating method and boundary-domain integrals for elliptic Cauchy problems. / A. Beshley, Chapko, B.T. Johansson // Computers and Mathematics with Applications. – 2019. – Vol.78, Issue 11. – P. 3514-3526.
5. Beshley A. A boundary-domain integral equation method for an elliptic Cauchy problem with variable coefficients. / A. Beshley, R. Chapko, B.T. Johansson // In: Lindahl K., Lindström T., Rodino L., Toft J., Wahlberg P. (eds) Analysis, Probability, Applications, and Computation. Trends in Mathematics. Birkhäuser, Cham. – 2019. – P. 493-501.
6. Beshley A. V. On the numerical solution of a mixed boundary value problem for the elliptic equation with variable coefficients in doubly connected planar domains / A. V. Beshley // Journal of Numerical and Applied Mathematics. – 2018. – №2 (128). – P. 3-15.
7. Бешлей А. On the integral equation approach for solution of a Neumann boundary value problem for an elliptic equation with variable coefficients / А. Бешлей // Вісн. Львів. ун-ту. Сер. прикл. матем. та інф. – 2018. – Вип. 26. – C. 9-19.
8. Beshley А. An integral equation method for the numerical solution of a Dirichlet problem for second order elliptic equations with variable coefficients / A. Beshley, R. Chapko, B.T. Johansson // Journal of Engineering Mathematics. – 2018. – Vol. 112, Issue 1. – P. 63-73.
9. Ostudin B. A. Special estimators for correcting some solutions of integral equations / B.A. Ostudin, Ya.S. Garasym, A. Beshley // Journal of Numerical and Applied Mathematics. – 2015. – № 2 (119). – С. 50-59.

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