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