*Application of numerical methods for various applications.*

*Read at 8-st semester.*

2 hours of lectures per week

Lecturers

- Lukyanenko Dmitrij Vitalevich (deputy head of the department on educational work, curator of 202m group)

Passing

examination

The course content

- Approximation of the different types of splines. Finding the coefficients of splines; well conditioned algorithms. Study error.
- Parametric curve fitting; Rotation invariance. Approximation of the experimental curves.
- Ordinary differential equations. The Cauchy problem; Explicit Runge-Kutta method. Selection step and accuracy control. Tough task Rosenbrock-Wanner methods. Hard direct method for PDEs.
- Boundary-value problems; shooting and finite difference schemes. Eigenvalue problem; Amended vector method and the phase method.