NumericalMethods

This package aims to give the typical UC3M (Universidad Carlos III de Madrid) the main resources to make experiment reports, numerical labs, numerical methods assignments, etc.

Implemented methods

Rootfinders

Newton method
Bisection method
Secant method
Chord method

Numerical differentiation

Forward-difference method
Backward-difference method
Central-difference method

Numerical integration

Composite Trapezoide method
Composite 1/3 Simpson's method

Initial-value problems for ODEs (ordinary differential equations)

Euler's explicit (forward) method
Euler's explicit midpoint method
Euler's implicit (backward) method
Heun's method

Systems of ODEs (Ordinary differential equations)

Euler's explicit (forward) method for systems.
Newton's method for systems