Numerical Methods Tools

A foundational set of numerical methods tools

Table of Contents:

1. DecToBin - Converts decimal base numbers into binary, up to 16 bits

2. NLRoots_NewtonSecant - Approximates a root of non-linear formulas using the Newton's and the Secant method

3. SLE_GESPP - Solves the system of linear equations using Gaussian elimination with scaled partial pivoting

4. PolyInterp_NDD - Uses polynomial interpolation with Newton's divided differences method to fit a curve

5. NaturalCubicSpline - Calculates the coefficients and evaluates points of a natural cubic spline

6. LeastSquares - Estimates points on a curve using the least squares method

7. Derive_Richardson - Calculates the numerical derivative using the Richardson Extrapolation method

8. Integral_Trap_Romberg_AdapSimps - Calculates the numerical integral using the Trapezoid, Romberg, and Adaptive Simpson method

9. Runge_Kutta4 - Calculates the differential equation using the Runge-Kutta method

10. SDE_Runge_Kutta4 - Calculates a system of differential equations using the Runge-Kutta method