Tasks and reports for numerical analysis course
All method implemented by Python 3.6
Code is free for using
Task - find the root, existing on the segment by using
- simple iteration method
- bisection method
- simple Newton method
Task - find the root, by using
- method of chords
- Aitken method
- Stephenson method
Task - determine segment, where positive and negative roots exists and find them using
- Bernoulli method
- Lobachevsky method
Task - sovle the system consists of two nonlinear equations by using
- Newton method
- iteration method
Task - interpolate function by usnig
- straigth Newton interpolation
- inverse Newton interpolation
Task - interpolate function using
- Lagrange interpolation polynomial
- Aitken's scheme
Task - approximate function by
- parabolic spline
Task - approximate function by
- least-squere method (linear, quadratic, exponential and ect.)
Task - numerical integration by using
- Chebyshev integration
- Simpson integration
- trapeze integration
- rectangle integration