This repository contains all my laboratory works that I've done as a part of computational math courses as a part of my education at ITMO university
Program that solves system of linear algebraic equations using simple iterations method
Program that solves non-linear equation using variety of methods including:
- Bisection method
- Newton method
- Secant method
- Chords method
- Simple iteration method
Link to the fronted source code
Link to the backend source code
Program that compute value of specified definite integral and mathematical error using several methods including:
- Left rectangles method
- Right rectangles method
- Central rectangles method
- Trapezoid method
- Simpson method
Program that compute different approximation functions for a given table of data, the program computes:
- Linear approximation
- Quadratic approximation
- Cubic approximation
- Exponential approximation
- Logarithmic approximation
- Power approximation
And RMSE and determination coefficient (R^2) for all variants of the approximation functions and based on that finds the best approximation
Link to the website
Link to the fronted source code
Link to the backend source code
Program that compute interpolation function and value of it in specified point. Different methods available including:
- Lagrange polynomial
- Newton polynomial (finite differences)
- Newton polynomial (split differences)
- Gauss polynomial (left variant)
- Gauss polynomial (right variant)
- Bessel schema
- Stirling schema
Link to the website
Link to the fronted source code
Link to the backend source code