Numerical Computing Categories and Methods

Roots of High Degree Equations
* Simple iteration method
* Newton-Raphson's method
* Bisection method

Interpolation and Curve Fitting
* Lagrange's method
* Newton's method
* Linear regression (fitting with straight line)
* Fitting with polynomial curve

Numerical Differentiation
* Finite differences method

Numerical Integration
* Trapezoidal rule
* Simpson's 1/3 rule
* Simpson's 3/8 rule
* Double integrations

Systems of Linear Equations
* Gauss elimination method
* Jacobi's method
* Gauss-Seidel's model

Ordinary Differential Equations
* Euler's method
* Second order Runge-Kutta's method
* Fourth order Runge-Kutta's method
* Higher-order ordinary differential equations