Andriy Beshley

Position: Lecturer, Computational Mathematics Department

Scientific degree: Candidate of Physical and Mathematical Sciences

Phone (office): (032) 239-43-91

Email: andriy.beshley@lnu.edu.ua

Google Scholar profile: scholar.google.com.ua

ORCID profile: orcid.org

Scopus profile: www.scopus.com

Web of Science (Publons) profile: www.webofscience.com

ResearchGate profile: www.researchgate.net

Research interests

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

Courses

Publications

  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. 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.

Biography

EDUCATION

Since 2015 Ivan Franko National University of Lviv. Post-graduate student of Faculty of Applied Mathematics and Informatics. Speciality: 01.01.07 “Numerical Mathematics”. Scientific supervisor: Professor  Roman Chapko. Thesis of the research work: “Numerical solution of planar boundary value problems for elliptic equation with variable coefficients by integral equations approach”.
2010-2015 Ivan Franko National University of Lviv. Student of Faculty of Applied Mathematics and Informatics. Master’s degree of “Applied Mathematics” speciality; Scientific supervisor: Associate Professor  Borys Ostudin.

 

PERSONAL DATA

Ukrainian. Place and date of birth: Lviv region, Pustomyty district, Yastrubkiv village, August 1, 1993.

 

PROFESSIONAL APPOINTMENTS

2016 – present Ivan Franko National University of Lviv, Faculty of Applied Mathematics and Computer Sciences, Assistant, Department of Computational Mathematics.

 

RESEARCH INTEREST

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

 

Schedule