Computational Physics Lecture Notes by A. Godunov

Last update: December 2024

• 01. Tools of computational physics.
• 02. Workflow.
• 03. Numbers, errors and uncertainties
• 03. C++: Short reference for introductory computational physics
• 04. Monte Carlo method: Fundamentals
• 04. Monte Carlo method: Integration
• 04. Monte Carlo method: Random Walk, optimization
• 05. Interpolation
• 06. Differentiation
• 07. Integration: Basics, Newton-Cotes quadrature
• 07. Integration: Gauss quadrature, adaptive integration
• 08. Nonlinear Equations
• 09. ODE: Fundamentals, Runge-Kutta methods
• 09. ODE: Secord-order ODEs, applications to particle dynamics
• 09. ODE: Boundary value problem, eigenvalue problem
• 10. Systems of linear equations
• 10. Eigenvalues
• 11. Data modeling
• 11. Genetic algorithm
• 12. PDE: Introduction, Elliptic PDEs
• 12. PDE: Parabolic PDEs
• 12. PDE: Hyperbolic PDEs
• 13. Parallel programming
• 14. C++ Short review
• 15. Fourier series and transform

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• Other notes
• LaTeX in scientific writing and publishing

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