Implement an effective technique for numerical solution of problems of electronic optics

Authors

  • Леся Ігорівна Мочурад Research and Training Institute for Entrepreneurship and Advanced Technologies National University "Lviv Polytechnic", Ukraine

DOI:

https://doi.org/10.15587/2312-8372.2012.4837

Keywords:

Integral equations, the potential theory, the Abelian group of symmetry, the collocation method

Abstract

Some aspects of the numerical solution of boundary value problems of potential theory with finite order Abelian groups of symmetry is considered. An effective method based on the method of integral equations in conjunction with the apparatus of group theory

Author Biography

Леся Ігорівна Мочурад, Research and Training Institute for Entrepreneurship and Advanced Technologies National University "Lviv Polytechnic"

Assistant Professor

Department of Information Systems and Technology

References

  1. Lions, J.-L. Problémes aux Limites non Homogénes et Applications [Text] / J.-L. Lions, E. Magenes. – Dunod. Paris. – 1968. – Vol. 1.
  2. Garasym, Ya.S. On numerical approach to solve some three-dimensional boundary value problems in potential theory based on integral equation method [Text] / Ya.S. Garasym, B.A. Ostudin // J. Comput. Appl. Math. – 2003. – No1 (88). – Pp. 17-27.
  3. Мочурад, Л.І. Дослідження наближених розв’язків однієї граничної задачі теорії потенціалу з абелевою групою симетрії шістнадцятого порядку [Текст] / Л.І. Мочурад, Б.А. Остудін // Праці міжнародного симпозіуму «Проблеми оптимізації обчислень», 24-29.09.09, смт. Кацивелі, Інститут кібернетики НАНУ ім. В.М.Глушкова НАНУ. – Київ. – 2009. – С. 117-122.
  4. Mochurad, L.I. Maximal Using of Specifics of Some Boundary Problems in Potential Theory After Their Numerical Analysis [Text] / L. Mochurad, Y. Harasym, B. Ostudin. // International Journal of Computing. — 2009. — Volume 8, Issue 2. – C. 149-156.
  5. Гарасим, Я. Метод інтегральних рівнянь при числовому моделюванні граничних задач теорії потенціалу та можливості його ефективного використання [Текст] / Я. Гарасим, Л. Мочурад, Б. Остудін // Вісн. Льв. ун-ту. Сер. прикл. матем. та інформ. – 2008. – Вип. 14 – С. 64-74.
  6. Mochurad, L.I. Flat variant of substantially spatial problem of electrostatics and some aspects of its solution, related to specifics of input information [Text] / L.I. Mochurad, B.A. Ostudin // Journal of Numerical and Applied Mathematics. – 2011. – №2(105). – P. 98-110.

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How to Cite

Мочурад, Л. І. (2012). Implement an effective technique for numerical solution of problems of electronic optics. Technology Audit and Production Reserves, 5(2(7), 35–36. https://doi.org/10.15587/2312-8372.2012.4837

Issue

Vol. 5 No. 2(7) (2012): INTERNATIONAL SCIENTIFIC CONFERENCE. Information technologies. Mathematical modeling - applied aspects

Section

Mathematical Modeling - Applied Aspects

License

Copyright (c) 2016 Леся Ігорівна Мочурад

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