ScientificComputing

In year3_project:

Investigation into the stability of the Lagrangian equilibria of the planar, circular, restricted 3-body problem. In particular, the orbits of Trojan asteroids in the Sun-Jupiter model, implemented with a Runge-Kutta-Fehlberg integration routine.

In year3_exercises:

ex1:

Monte Carlo approximation of an integral, evaluation of the Fresnel integrals using numerical methods, plot the near-field diffraction pattern of an open slit.

ex2:

Runge-Kutta integration to evalutate the oscillations of a damped, driven pendulum.

ex3:

Calculate the diffraction pattern in the far-field of the aperture using Fast Fourier Transform techniques for a single slit aperture and for a sinusoidal phase grating.

In year2_exercises:

ex5:

Simulation of a small planet travelling near the sun using the Euler method, the leapfrog method, the fourth order Runge-Kutta method.

ex6:

N particle simulation in 1D box (only head-on collisions).