• Professional biography
• Documents
• List of selected publications

P. G. Dolya

Docent (associate professor) of department of theoretical and applied computer science , phd for industries

Documents

• Fundamentals of mathematical calculations in the MATHEMATICA system (special course)
  • Dolya P.G. Mathematica for mathematicians (PDF, RUS, 400 p.)
• Introduction to computer modeling of natural phenomena in COMSOL Multiphysics (special course)
  • Test tasks
  • Dolya P.G. Fundamentals of Modeling in COMSOL Multiphysics. Chapters 1 -3 (PDF, UKR, 14.46 Mb, 529 p.)1. Getting started at COMSOL Multiphysics. 2. Visualization and data processing. 3. Classical problems of mathematical physics.
  • Dolya P.G. Fundamentals of Modeling in COMSOL Multiphysics. Chapters 4-8 (PDF, UKR, 16.2 Mb, 649 p.)Chapter 4. Algebraic and differential equations. Chapter 5. Boundary value problems for differential equations. Chapter 6. Functions. Chapter 7. Parameters and variables. Chapter 8. Complex quantities.
• Using the Python programming language in scientific research (special course)
  • Work program
  • Test spring 2020
  • Exercises
  • Test tasks
  • Dolya P.G. Introduction to Scientific Python. Part 1. ( PDF, RUS, 6.2 Mb, 265 p. )An introduction to the Python programming language is provided. The main mathematical packages are considered.
  • Dolya P.G. Introduction to Scientific Python. Part 2. ( PDF, RUS, 1.23 Mb, 68 p.)Creating and using classes. Creating programs with the tkinter window interface.
• Using MATLAB
  • Dolya P.G. MATLAB Fundamentals (PDF, RUS, 3.12 Mb, 198 p.)
• Discrete mathematics (lecture course)
  • Dolya P.G. Discrete Mathematics (PDF, RUS, 4.47 Мb, 190 p.)Algebra of expressions and logic. Algebra of sets. Algebra of relations. Mapping and functions. Boolean algebra and its applications. Combinatorics. Elements of graph theory. Elements of coding theory.
• Dolya P.G. Analytical methods of geometric modeling (special course)
  • Examples of using
    • PscFunctions_Package.zip.Unpack. The resulting three files copy to the 'lib' directory of the Maple installation directory. Explanation of examples and help on the package are given in English.
  • Introduction to methods for constructing equations of piecewise-defined continuous functions (PDF, 254 Кb, Rus., 12p.)
  • Equations of piecewise smooth continuous functions (PDF, 1.41 Мb, Rus, 54 p.)
• Numerical Methods
  • Dolya P.G. Chapter 1. Features of computer mathematics.
  • Student tasks
• Computer math (special course)
  • Work program
    • Work program 2021/2022
  • Test tasks
  • Course Exercises
  • Dolya P.G., Antonenko G.M. Problem Solving of higher mathematics on a computer (PDF, UKR., 3.42 Mb, 127 p.)
• • An introduction to the mathematical methods of digital image processing with Octave.
• Доля П.Г. Mathematical methods of computed tomography (special course)
  • Dolya P.G. Analytical methods of computed tomography ( PDF,3.52 Мb, Rus.,139 p.)
  • Addition. Radon transform in MATLAB. ( PDF, 512 Кb, Rus., 21 p.)
  • Addition. Introduction to the theory of generalized functions ( PDF, 703 Кb, Rus., 57 p.)
• Fundamentals of mathematical modeling and computational experiment (special course)
  • Physical models
  • Using MATLAB
  • Using MATHEMATICA
  • Exam papers
• Work with MAPLE
  • Dolya P.G. Examples of solving mathematical problems in MAPLE. (PDF, 614 Кb, Rus.,16 p.)Fourier series, Cauchy problem, Galerkin method.
• C ++ Programming
  • Dolya P.G. An introduction to C/C ++ console programming. Drawing in the console window. (PDF, 0.98 Мb, Rus., 64 p.)
• Java Programming
  • Dolya P.G. Getting started with Java programming (PDF, 0.95 Mb, Rus., 22 p.)