The 4th order Runge-Kutta method was used to integrate the equations of motion for the system, then the pendulum was stabilised on its inverted equilibrium point using a proportional gain controller and linear quadratic regulator.
Computing the trajectory of a projectile moving through the air, subject to wind and air drag.
The motion of a rolling object on an arbitrary track is analyzed.
Uses cubic splines to interpolate a given set of data points
Using numerical tools to describe and analyse a quadrupole mass spectrometer.
Applying the fourth order Runge-Kutta method and the adaptive step size Runge-Kutta method to calculate the trajectories of three bodies.
Studying how a third mass behaves in the effective gravitational potential resulting from two opposing masses (here: Sun and Earth).
Applying the explicit and implicit Euler methods and the fourth order Runge-Kutta method to calculate the trajectory of the Earth around the Sun.
Using polynomial interpolation to interpolate a set of points and to approximate a function or a curve.