PhD and Doctorate

Regulations on the organization of the educational process of graduates of the degree of Doctor of Philosophy at the Ivan Franko National University of Lviv (in Ukrainian)

Admission rules and entrance examination programs on the Admission to Postgraduate Studies page

Normative academic disciplines

Modern problems of applied mathematics (113 Applied Mathematics)
Current trends in the development of computing and information technology (122 Computer Science)
Scientific seminar
Philosophy
Pedagogical practice
Foreign language for professional purposes
Intellectual property and technology transfer

Free choice disciplines (general scientific competencies)

Methodology of scientific publication preparation
Pedagogy of high school
Psychology of high school
Preparation of a research and innovation project
Information technology and programming
Innovation and entrepreneurship

Free choice disciplines (in-depth knowledge of the specialty 113 Applied Mathematics)

Numerical modeling in problems of interaction of physical and mechanical fields
Modern optimization methods
Computational methods in nonlinear analysis
Numerical analysis based on Sobolev embedding theorems
Boundary element method
Method of jump functions in problems of mechanics of deformable solids with thin-walled inclusions
Flat contact problems for homogeneous and piecewise homogeneous bodies with cracks
Methods for determining the residual life of structural elements under the action of physicochemical factors

Free choice disciplines (in-depth knowledge of the specialty 122 Computer Science)

Quantum physics and computation
Cloud and fog technologies
Specialized computer systems
Embedded system programming
Application of artificial neural networks to solve problems of mathematical physics
Digital information processing
Complex systems and networks
Computer methods in electronics
Information protection
Artificial intelligence systems
Knowledge base of intelligent decision support systems
Image processing and pattern recognition
Computational linguistics and lexicographic systems
Knowledge bases and expert systems
Modeling of nanotechnologies
Computer implementation of adaptive circuits
Computer modeling in physics and mechanics

Educational and scientific program of preparation of the doctor of philosophy on a specialty 113 Applied Mathematics (2020) (in Ukrainian)
Curriculum for the preparation of a doctor of philosophy in the specialty 113 Applied Mathematics (2020) (in Ukrainian)
List of dissertation topics in the specialty 113 Applied Mathematics (in Ukrainian)

Educational and scientific program of preparation of the doctor of philosophy on a specialty 122 Computer Sciences (2020) (in Ukrainian)
Curriculum for the preparation of a doctor of philosophy in the specialty 122 Computer Science (2020, full-time) (in Ukrainian)
Curriculum for the preparation of a doctor of philosophy in the specialty 122 Computer Science (2020, distance learning) (in Ukrainian)
List of dissertations topics in the specialty 122 Computer Science (in Ukrainian)